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ArtMatic 2 in 4 out components
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There are three primary types of 24 components: RGBA color shaders (many of which are implementations of 23 RGB color shaders), RGBA packed mixers that mix two RGBA streams, and the composite XYza functions that create interesting 2D tiled spaces + value + alpha mask (these are illustrated later in this chapter in some detail). In version 1.5 a large number of RGBA textures have been added and they all shares the same parameters and options so that all possibles color modes and frequency/Amplitude options are supported. All new function are DF compatible when the option DF mode or DF voyager mode are selected.

• Floored+Shaded :
  The polygon elevation is clamped to zero to avoid negatives. Color hues are shaded (color fades to black at zero) with the elevation/alpha.
• Balanced+Shaded :
  The polygon elevation continues in negatives. Color hues are shaded (color fades to black at zero and below ) with the elevation/alpha.
• Balanced+frame shaded :
  The polygon elevation continues in negatives. Color hues are shaded with the elevation/alpha with an additional frame at the zero crossing.The frame uses the depth cue color.
• Balanced+Unshaded (DF mode) :
  The polygon elevation continues in below zero with a strict relation size/amplitude that makes the elevation works as a DF profile. No shading takes place. In this mode the component can be used as a 2D colored DF profile in 3D modeling. See the DFRM guide :Modelling technics.

• Floored+Shaded :
  
• Balanced+Shaded :
  
• Balanced+frame shaded :
  
• Balanced+Unshaded (DF mode) :
  Color Circle has the same rendering options as 24 Color Polygon N above

• Floored+Shaded :
  The polygon elevation is clamped to zero to avoid negatives. Color hues are shaded (color fades to black at zero) with the elevation/alpha.
• Balanced+Shaded :
  The polygon elevation continues in negatives. Color hues are shaded (color fades to black at zero and below ) with the elevation/alpha.
• Balanced+frame shaded :
  The polygon elevation continues in negatives. Color hues are shaded with the elevation/alpha with an additional frame at the zero crossing.The frame uses the depth cue color.
• Balanced+Unshaded (DF mode) :
  The polygon elevation continues in below zero with a strict relation size/amplitude that makes the elevation works as a DF profile. No shading takes place.

discussion :
This component is similar to color line but has diffuse edges that give a 3D or glow-like appearance. See also the 34 Color Neon Line version.

• Gaussian disk :
  The disk is shaded with a gaussian curve : exp(-length(x,y)^2)
• Neon light disk :
  The disk is shaded as the neon line to create a light effect
• halo light disk :
  The disk is shaded as a light source with an inverse distance fallout

• Floored+Shaded :
  
• Balanced+Shaded :
  
• Balanced+frame shaded :
  
• Balanced+Unshaded (DF mode) :
  
Half plane has the same shading options as 24 Color Polygon N above

discussion :
This RGB+Alpha color shader returns the input picture's (or movie's) alpha channel if there is one in 4th output. For a general guide to Pict/Movie components, see the Using Pictures and Movies chapter of the reference manual. The image can be regulary Tiled or Jitter-tiled depending on the Algorithm choice. At "Size" parameter 1 the image fits the canvas at default zoom level (home button). This component only needs to be used if the input pict/movie has an alpha channel or for its special tiling options.
In ArtMatic Engine 8.5 all color image components have the 1.5 RGBA Picts Options set.

• Tiling regular :
  Use the "Tiling" parameter to spread the tiles. At zero no tiling takes place and the image is centered.
• Jitter Tiling :
  "Jitter Tiling" allows to overlap and fade randomized instances of the picture. This can create non periodic random textures using prerendered pixels. "Randomise" parameter randomises the position, scale and rotation. When the "Randomise" parameter is at zero the images keep the same orientation.

discussion :
Pict Atlas # uses an array of images to handle many pictures at once. The size of the array can go from 2*2 to 16*16. By convention if a pict file name includes "atlasXX" and X is in the range 2-16 it will be interpreted as a valid Atlas and the cell size will be derived from that number.You can store a lower resolution version using "atlasXXTN" to speed up browsing and previewing of ArtMatic trees using Atlases as the Atlas file can be quite large and its not necessary to load the full size version for a small preview. The size of each Atlas cell is not necessarily square but must be an integer divider of the file size. With a 16*16 Atlas image you can use up to 256 images for a single input channel set by the "Input index" parameter (The Atlas can be imported in any input channel slot). "Tile index" sets the target image and 0 references the top left tile. Various algorithm are available and are listed below.

If you need a total control of the layout you can set and animate the placement of each cell with the 44 Motion Pict Atlas component.
Other layouts are available in 2D and 3D with the Atlas related algorithm in the 2D Architectural # component.

Atlas images can also be part of the Building family C4 (14) used in 32 DF Cities or the 32 DF Buildings component. The Atlas images will be rendered by the 34 DF City Textures # component on the DF geometry defined by 32 DF Buildings or 32 DF Cities.

In ArtMatic Engine 8.5 all color image components have the 1.5 RGBA Picts Options set.
Examples can be found in ArtMatic Designer CTX/Libraries/PictAtlas/ folder.

• Single cell:
  A single image is displayed and you can change it with the Tile index. The effective image will be the Tile index % total images. So if the Atlas contains 3*3 picts, it will be modulo 9. You can put anything in an Atlas. This can be used with text comments to build a tutorial entirely in artmatic for example.
• Random cell array:
  Display an infinite array of randomly chosen image from the atlas. The parameter "Density" sets the space between tiles by scaling each tile. The Tile index influence the amount of randomisation. At zero the array will be ordered.
  
  
  
  
  
• Voronoi random cells:
  Display randomly images from the atlas in a jittered way. This works nice if the atlas images have an alpha channel as they can overlap. The texture produced is infinite.
  
  
  
  
  
• Voronoi density cells:
  Same as above but with control of density. The parameter "Density" scales each voronoi tile.
• Voronoi random oriented :
  Same as above but each cell can be randomly rotated.
• Random cloud:
  A local "cloud" of images. Needs Alpha mask as well for best results.
• Random cloud sorted:
  A local "cloud" of images with the images sorted by Y position so that lower images are displayed over. Needs Alpha mask as well for best results. "Cloud shape" controls the aspect ratio of the cloud.
  
  
  
  
  
• Rosace cloud A:
  Atlas cells are disposed in a circle pattern where parameter "Spread" controls the overall radius and cell spacing.
• Rosace oriented cloud:
  Same ase previous but cells are oriented outwards.
  
  
  
  
  
• Rosace rings oriented:
  Atlas cells are disposed in a twirling growing pattern.
  
  
  
  
  

discussion :
This component provides many different tiling algorithms, and like the other XYza components, the output is a a space transform from the two leftmost outputs, an index 'z' value from the third output and an alpha/elevation channel that delineates the tiles. Colors are derived from the index in z. In general the z index output is periodic with 3 discreet values. Color Regular tiles # shares the same tiling algorithms but outputs RGB+Alpha rather than XYza output.

While only 3 regular tilings are geometrically possible with one regular polygon (square, triangle and hexagonal tiling), by relaxing the regularity of the tiling many other tilings are possible. The Cairo tiling, for example, which has been used since antiquity is especially interesting with its pentagonal angles in the 18º version. Tile rotation is available (via parameter D) for some algorithms that changes the tiling pattern and tile shape. Such algorithms have an asterisk (*) in their names.

When mirror appears in an algorithm name, it means the coordinates are using mirror symmetries on the tile edges when sent from the tile XY outputs. 'Rotation' rotates the XY output coordinates but won't change the tiling structure.
The 3th output (z) is often used as an index fed into the 44 Packed index (w) Mixer to have different textures for each tiles.
The 4th output (a) can be used for 3D DF modeling when the option 'link amplitude to frequency' is chosen. In any case 'a' will hold each cell elevation/alpha mask where the edges are at zero so its possible to use 'a' for further contour shading with 44 RGB * alpha for example.

• Rectangular Tiling :
  Parameter D 'Tile aspect ratio' changes the aspect ratio. Square tiling is obtained when 'Tile aspect ratio' is 0. Output z hold a non periodic random unique value for each cell.
• Unit Square Tiling:
  Set 'Frequency' at 1 to get a unit square grid. z output is periodic with 3 values.
• * Square Tiling 45 degrees :
  The 'Frequency' is scaled by sqrt(2) to align with the square grid when using same frequency.
  
  
  Square Tiling 45 with a slight tile rotation
  
  
• Triangles 2 Tiling :
  Variation of the triangle tiling with only 2 z values.
  
• Triangles 6 Tiling :
  Variation of the triangle tiling with 4 z values.
  
• * Lozenges Tiling :
  
  
  Lozenge Tiling with a slight tile rotation
  
  
• * Triangles mirror Tiling :
  Same as Triangles Tiling but with mirror symmetries on the XY outputs coordinates.
• Hexagonal Tiling :
  The perfect Hexagonal regular tiling.
• Cairo 18 degrees Tiling :
  
  
  Cairo Tiling
  
  
• * Cairo mirror Tiling :
  Using the 'tile rotation' you will blend from rectangles to pentagonal polygons. At 18° the classic Cairo tiling appears.
• * Square mirror Tiling 45 degrees :
  Same as Square Tiling 45 degrees but with mirror symmetries on the XY outputs coordinates.
• * Octagonal mirror Tiling 45 degrees :
  Tiling produced by 8 rotating triangles in a 45° lattice.
• Decagonal Triangles Tiling:
  Irregular tiling produced by 10 rotating triangles sharing the same center.
• * PolyCairo Tiling :
  Using the same construction method as Cairo tiling but with a more complex polygon. Slide the 'Tile rotation' to observe emerging shapes.

discussion :
This component implements many interesting tilings that make use of two or more polygons. While the algorithms do not include all possible tiling, they include the most interesting ones. Several different foldings are provided for the beautiful Islamic star patterns.

For most algorithms, parameter A is Scale and scales the output space. However, for some algorithms, parameter A is Tile Spread. 'Frequency' sets the tiling frequency (the size of the tiles).'Rotation' rotates the XY output coordinates.

The z-output hold an index 'z' usually periodic can be used to assign colors or textures combining multiple tiling components. Possibilities are endless. Z-output is often used as an index fed into the 44 Packed index (w) Mixer to have different textures for each tiles.
When the option 'link amplitude to frequency' is chosen the 4th output (a) can be used for 3D DF modeling.
Example file : Libraries/Components demo/24 Tiling SR.artm

• Square + triangles :
  Semiregular tiling composed with Squares & Triangles with 3 z index values.
• Square + triangles mirror :
  Same as above but with mirror symmetries on the XY outputs coordinates.
• Hexagons + triangles :
  Semiregular tiling composed with Hexagons & Triangles using 3 z index values
• Hexagons, squares, triangles :
  Semiregular tiling composed with 3 polygons: Hexagons, Squares and Triangles with 3 z index values.
  
  
  Hexagons, squares, triangles pattern'
  
  
• Hexagons, squares, triangles mirror :
  Same as above but with mirror symmetries on the XY outputs coordinates with 5 z index values
• Squares + triangles B mirror :
  Alternate tiling composed with Squares & Triangles.
• Decagons + pentagons mirror :
  Semiregular tiling composed with Decagons & pentagons with mirror symmetries on the XY outputs coordinates and with 4 z index values
  
  
  Decagons + pentagons pattern'
  
  
• Islamic sixfold A ,
  
• Islamic sixfold B :
  Based on the islamic interlaced star patterns with six branches. The overall geometry follows an hexagonal lattice. 'Tile spread' controls the size of each cell's pattern. All islamic patterns outputs 5 z index values.
• Islamic heigthfold :
  
• Islamic heigthfold 45 degrees :
  Based on the islamic interlaced star patterns with height branches. The overall geometry is either on a square lattice or on a 45° lattice. 'Tile spread' controls the size of each cell's pattern.
• Islamic ninefold :
  
Islamic star patterns with nine branches. The overall geometry follows an hexagonal lattice.
• Islamic tenfold A :
  Islamic star patterns with ten branches. The overall geometry follows an 36° lozenge lattice.
  
  
  Islamic tenfold algorithm.
  
  
• Islamic tenfold B :
  Islamic star patterns with ten branches and emerging pentagons. The overall geometry follows an 36° lozenge lattice.
  
  
  Islamic tenfold B. Pentagons are in violet.
  
  
• Islamic twelvefold A (hexa) :
  
• Islamic twelvefold B (hexa) :
  Islamic star patterns with 12 branches. The overall geometry follows an hexagonal lattice.
• Islamic twelvefold C (45 degrees) :
  Islamic star patterns with 12 branches. The overall geometry follows an 45°° square lattice.
• Islamic sixteenfold :
  Islamic star patterns with 16 branches and 8 branches. The overall geometry follows an 45° square lattice.
  
  
  Islamic sixteenfold algorithm.
  
  
• Pentagonal cristal mirror :
  This irregular triangle pattern emerges from a set of 5 fold symmetries.


'PentaCristal' pattern'

• Random facets :
  The original Facet Space algorithm. This component tiles space into irregular facets that has an almost skin-like pattern.
• Voronoi A :
  
• Voronoi B :
  
• Voronoi C :
  
• Voronoi D :
  
• Voronoi E :
  
• Voronoi twirl :
  
• Voronoi cristal 45 :
  
• Voronoi cristal 90 :
  
• Voronoi cristal 120 :
  
• Voronoi penta cristal :
  

• Packed hexa disks :
  Packed disks in a 60° (hexagonal) tile structure. Output z is set to a random constant value.
• Overlapping disks 45 :
  Overlapping disks in a 45° tiling. Output z is set to a constant value that depends on the level of overlapping.
• Overlapping disks 60 :
  Overlapping disks in 60° (hexagonal) tile structure. Output z is set to a constant value that depends on the level of overlapping.

• Mask : circles :
  
• Mask : squares :
  
• Mask : lozenges :
  
• Mask : pentagons :
  
• Mask : hexagons :
  
• Mask : octogons :
  Quantises the space using a square grid pattern. The various masks creates disks or various polygons for each 'spots'.
• Pentacristal :
  
• Hexacristal :
  
• Voronoi :
  Quantises the space using a regular voronoi facets
• Triangles :
  

• xyza Jittered spots :
  Tiles are jittered (randomly displaced).
• xyza Tiled spots :
  Tiles are placed on an uniform square grid.

discussion :
XYza DF zones can be used in a similar ways than 34 jitter tiling # or 3D Repeats and Tile to instantiate a large number of DF primitives or graphics objects. It basically tiles the 2D space and depending on "sparseness" will mask or not an instance in the tile using the a (alpha) output. The shape of the mask can be square or circle depending on the chosen algorithm. The z output will hold a constant random value for each cell suitable to modify a particular instance.
The 'Scale' parameter is so that 1 will use the unit grid. It supports the frequency standard option to interpret the parameter as scale, frequency (1/scale) or VY kilometers.
Learn more about DF modeling in Building 3D Objects : DFRM guide.


XYza DF zones populated with Spheres transforming into Cubes (Voyager Examples/Components/DF Zones & Clusters/DF Zones Cubes.vy)

• Mask : circles :
  Mask each active cell with a circle
• Mask : squares :
  Mask each active cell with a square

discussion :
Creates an infinite band in X of Apollonian Gasket discs packing. When incoming space is inverted with 22 complex inversion the band becomes a closed disc.
See also the 25 O Soddy Inversions for more on disc pcking fractals.

discussion :
This component provides many interesting irregular tilings and patterns. Most of the patterns are arrangements of various sized blocks.

Some of the algorithms are especially interesting for 3D architecture in ArtMatic Voyager where the z value can be used to apply different textures to different arts of a 3D object or construction. The z value (the index passed from the z output) for some patterns defines roof and ground zones. This allows you to use this component to select from different color textures when used with 44 Packed index (w) Mixer

The z-output of this component is very useful for controlling the mix of a number of textures especially when used with the Packed index Mixer . The z-output range is -2 to 3. There are several different patterns used when generating the z-value. Generally, those patterns that have a "roof" zone set z to -1 for the roof and -2 for the ground.
Some patterns are volumetric and derived from 3D textures with the 'Phase' parameter sliding the slice along the z-axis to reveal pattern variations. Otherwise, 'Phase' offsets the pattern along the x axis.
The 'smoothness' parameter determines edge rounding.
When the option 'link amplitude to frequency' is chosen the 4th output (a) can be used for 3D DF modeling. It will hold in any case the pattern tile elevation, usually zero at the cell edges.

• Random Pyramids:
  Random pyramids provides randomly placed square-based blocks whose density is controlled by the sparseness parameter.
• Random blocks :
  A mix of several indexes that vary randomly in randomly placed blocks.
  
  
  
• Mixed wall pattern :
  A pattern with thin vertical separation bands and larger horizontal bands.
  
  
  
  
• Stones wall pattern :
  
  stone wall pattern used in a pentacrystal 2D space (File: Libraries/Textures/Decorative Tilings/DecaPenta Tiling.artm)
  
  
• Bauhaus Building :
  Bauhaus Building - a simple geometric design suitable for modern buildings. Bahaus has a roof zone (-1) but no ground and is infinite where y<0. So, it can easily be used for towers texturing.
• Pattern blocks A :
  
• Pattern blocks B :
  
• Pattern blocks C :
  Various sets of semi regular periodic patterns.
• Zones blocks A :
  Zones Blocks A provides a handy means to have different ground, wall and roof textures with a decorative band in-between as shown in the example below.
  
  Zones Block A Example (file: Allee ZB_A.vy)
  
  
• Zones blocks B :
  
  Zones Block A Example (file: Allee ZB_A.vy)
  
• Zones blocks C :
  
  Zones Blocks C for the decorative patterning on the building. (File: Decorated Door B)
  
• Zones blocks D :
  
  Zone blocks D pattern overview
  
  
• Western house 2L :
  
• Bricks wall house 3L :
  
• Zones: Chinese house :
  
• Zones: Arcades stones 1L :
  
• Zones: Arcades stones 2L :
  
• Zones: Arcades mixed :
  
• Zones: Roman house 1L :
  Specially designed for architecture texturing in 3D applications this group provides various layout and styles featuring windows, doors, and various material zones.
  
  
  Tuscan castle using Arcades stones 2L for the wall texture (File:34 uvid volumes tuscan castel.vy)
  

Simple Mosque using Roman house 1L


• Halves V Splits :
  
• Halves H Splits :
  These patterns divides recursively the square grid along the opposite axis of the orientation. That creates bands of tiles that becomes smaller and smaller around vertical bans or horizontal bands.

Moebius transformed "Halves H Splits"

• Random corners :
  
• Random holes :
  
• Random Splits 0 degrees & 45 degrees :
  
• Random triangles :
  
• Klimpt Panels :
  
• Random Rectangles :
  
• Random Tubes & Disks :
  The last group features simpler pseudo random patterns more suited for graphic and decorative purposes.

discussion :
RGB+Alpha color shader that creates a pattern of random blocks reminiscent of the works of Piet Mondrian.The texture has been re-implemented in 1.5 for a better match of Mondrian design. The default color palette gives the classic red yellow blue and white primaries.
The options gives full access to all color modes and freq/amp setting : see the standard 1.5 set of options.

discussion :
The color texture resembles an array of LED lights. The alpha channel is essentially a grayscale representation of the LED array. The Style parameter determines the visual style of the array. At some settings the array is sparse and LEDs are uniform; at other settings, the spacing is more dense with some variability in LED shading and shape. Leds are shaded with primary staturated colors that you can modify using Color modification tiles like 44 Color Shift.


Light LED Array with 'style' at maximum

discussion :
Accum noises # provides a set of random textures created by the accumulation of randomly placed (and sometimes rotated) RGBA shapes. The simplest shape is a disk as in Dripping dots. In general Background color is shaded with Aux color B. Some noises will add a contour shading at the zero crossings using Aux color A.
The width of the contour gets small as "Color Variance" increases. In DF mode contour shading is disabled and the background color is used for negatives.
The options gives full access to all color and freq/amp modes with the 1.5 Color/freq Options set.

• Random sticks noise:
  Accumulates random placed line segments. The background is shaded in black.
• Slanted disks noise:
  Accumulates random placed slanted disks. The shape as a surface would be a cone cut at an angle. The orientation is modulated by style parameter.
  
  
  Slanted disk noise with orientation at 0
  


• Segments noise:
  Accumulates random placed segments, thicker than in "sticks noise". In default color mode the background is shaded in dark brown and the pattern uses natural colors. The orientation is modulated by Orientation parameter and are mostly vertical when 0. In non DF mode the shape is shaded to background color.
  
  
  
  
• Arcs cones:
  A dense accumulation of randomly placed "arcs" shapes. In volume the shape is a cone carved by a non centered sphere.
  
  
  ArtMatic Designer CTX/Libraries/Component 8.5/2D Accum/
  
  
• Undulated cones:
  Accumulates radial undulated cones. The "Style" parameter controls the rotation and the amount of randomization in size and position. Higher style values increase pattern sparsity.
  
  
  ArtMatic Designer CTX/Libraries/Component 8.5/2D Accum/
  
  
• Dripping dots:
  Accumulates random placed disks to evoque dripping paint drops. In non DF mode the dots contours are shaded with Aux color A. The "Style" parameter modulates the thickness and density of the pattern.
  
  
  ArtMatic Designer CTX/Libraries/Component 8.5/2D Accum/
  
  
• Color stars:
  Accumulates random dots shaded as a light source. Background color is black with this algorithm.
• Leaves noise dense:
  Accumulates random placed leaves shapes. In non DF mode dots contours are shaded with Aux color A
• Leaves noise sparce:
  Accumulates random placed leaves shapes. In non DF mode dots contours are shaded with Aux color A
  
  
  ArtMatic Designer CTX/Libraries/Component 8.5/2D Accum/
  
  
• Capsules:
  Accumulates random placed capsule shapes oriented vertically. A capsule is like an elongated sphere. The "Style" parameter controls the height and width of the Capsule and increases the jittering.
  
  
  
  
  

discussion :
Voronoi noises # implements a set of 2D voronoi based texture where each cell has its random color mapped in the chosen color palette. The DFV set uses a new algorithm that give a correct distance field where the distance to the lines separating the cell is accurate and not an approximation. Hence they are the preferred algorithms to be used in 3D modeling for ArtMatic Voyager. The "Style" controls several variables that depends on the algorithm but generally "Style" modulates jittering and levels.
For the DFV set in DF modes when "Style" is above 0.75 cells becomes negative progressively. At "Style" 1 only the contour remains. Space between cells is shaded with Aux color B for all DFV set.
Voronoi noises # gives full access to all color and freq/amp modes with the 1.5 Color/freq Options set.
Examples can be found in ArtMatic Designer CTX/Libraries/Component 8.5/Voronoi patterns/

• Sharp Voronoi:
  The legacy Voronoi implementation.
• Smooth hexa Voronoi:
  When jittering is low the cells are placed on an hexagonal grid.
  
  
  Smooth hexa Voronoi with large border (Style at 0.7)
  
  
• Voronoi soft skin:
  This pattern is similar to the 21 Bubble & Skins soft skin and uses exponentials to achieve soft edges. With blue freen default colors this pattern is a good primitive for reptilian skin textures.
  
  
  Soft skin
  
  
• Voronoi crystal:
  Points and distances are modified to achieve sharper edges and default colors uses ice shades.
• Angular voronoi:
  The distances for each cells are quantized to 45° angles. "Style" modulates space between cells and the cell jittering. Space between cells is shaded with Aux color A.
• Voronoi stones wall:
  With default colors using stones shades Voronoi stones wall uses constrained cell shapes with angles quantized to 45° . "Style" modulates space between cells and the cell jittering. Space between cells is shaded with grays getting brighter with "Style".
  
  
  Stones wall with large border (Style at 0.725)
  
  
• Crystal45 DFV:
  Points are placed in such a way to obtain frequent 45 degree lines and octagonal shapes. Space between cells is shaded with Aux color B.
  
  
  
  
  
• Random grid DFV:
  Points are randomized but within a quantized grid whith a strong probability of alignements.
• Nominal DFV:
  The reference true DF Voronoi with one jittered center per cell. The style parameter controls the amount of jittering. At zero the points are on a grid.
  
  
  The nominal Voronoi with default shades (stones)
  
  
• Perturbed grid DFV:
  A perturbed regular square grid. The probability of displacement is low for each point.
• Quasicrystal DFV:
  Points are placed in such a way to create a perturbed regular patterns.
  
  
  
  
  
• Splitter DFV:
  Each Voronoi cell has a probability to be split in 2, 3 or 4 controlled by the Style parameter.
  
  
  
  
  
• Modulated DFV:
  The size of cells is modulated by a low freqency noise. "Style" affects the range of modulation as well as contour levels.
• Recursive DFV:
  A recursive Voronoi where certain cell contains a smaller set. "Style" affects the probability of recursion as well as levels and shading options.
  
  
  
  
  

discussion :
Like Accum noises, Polyhedric noises # creates textures using accumulation of randomly placed RGBA shapes but with more geometrical forms (polyhedrons or lines) for more artificial look. There is a z modulated equivalent in the 34 component z Polyhedric noises #
where z input modulates the level of the alpha. In general the background will be shaded with the Aux color B and if the contour is shaded (in non DF mode only) it will use the Aux color A. For legacy compatibility Polygons Rectangular and slanted Polygons uses a black background.
The options gives full access to all color and freq/amp modes with the 1.5 Color/freq Options set.
Examples can be found in ArtMatic Designer CTX/Libraries/Component 8.5/2D Accum/

• Polygons Rectangular:
  Accumulates a set of random polyhedrons dominated by arrangements that are oriented at right angles.
• Slanted Polygons:
  Accumulates a set of polyhedrons slanted and clamped with 45 degree planes.
• Mondrian Mazes:
  A squares and lines maze with primary colors.
  
  
  
  
  
• fabric 45 dense:
  An accumulation of 45 degree lines segments of mutated width.
• fabric 45 sparce:
  Same as before but with sparcer occcurences.
  
  
  
  
  
• fabric 45 balanced:
  An accumulation of 45 and -45 degree lines segments of mutated width.
• fabric 45 and 90:
  An accumulation of 45,-45 and 90 degree lines segments of mutated width.
• Korean Chaos:
  An accumulation of 90° degree lines and partial mazes.
  
  
  
  
  
• Mixed shapes:
  Accumulates a set of polyhedrons and partial mazes using overlay mode.
  
  
  
  
  
• Soft lines:
  Accumulates 90° lines with a strong smoothing to get a blured effect.
• Industrial:
  An accumulation of various repetitive shapes.
  
  
  
  
  
• Industrial Chaos:
  A variation of the above with more polyhedric irregular shapes; Style increases the shapes displacement.
  
  
  
  
  

discussion :
Color texture that resembles a random assortment of colored toothpicks – i.e. short-line segments. The Orientation parameter determines whether the sticks all have the same orientation or if they are randomly rotated.
In 1.5 this texture is part of the Accum noises # component.

discussion :
Color texture that resembles a random assortment of color disks whose angular orientation is determined by the Disk Orientation parameter. 'Tint' controls overall hues of the disks.
In 1.5 this texture is part of the Accum noises # component.


Slanted disk noise with orientation at 0 and 'Tint' in the middle

discussion :
Color texture made up of randomly sized and oriented polygons. This version of the texture is dominated by arrangements that are oriented at right angles.
In 1.5 this component has moved inside the Polyhedric noises #

discussion :
Color texture made up of randomly sized and oriented polygons. This version of the texture is less dominated by right angles than version A.
In 1.5 this component has moved inside the Polyhedric noises #

discussion :
Color texture that resembles a star field.
In 1.5 this texture has moved in the Accum noises # component.

discussion :
An arrangement of randomly-shaped and colored ‘domes' akin to the various bubble textures available in ArtMatic. "Dome Shape" can be used to flatten the dome tops. Colors are generated procedurally and can be shifted with the 'Tint' parameter. 'Amplitude' only affects the alpha/elevation channel.
In 1.5 this component has moved inside Accum surfaces #
.


Random Domes

discussion :
This component provides a number of tiling based on a single polygon (regular or irregular) and can create an amazing variety of periodic tile patterns. The output is RGBA where the alpha channel delineates the tile borders. The alpha channel provides 3D contours when the RGB Bump shader is used. The tiles are delineated by black borders. The list of Algorithm is the same as with the XYza Regular tiles # component but the result is directly color shaded.

There are three parameter options that determine the color shading: use procedural color cycle, use main gradient, use indexed gradient.

When Indexed Gradient is selected, parameter B determines the gradient that is used. When it is chosen, you can also edit the gradient by editing the Gradient Edit icon that appears below the parameter sliders. The meaning of parameters A and B are dependent on the selected parameter option and determine how the tiles are colored. Parameters C and D determine Frequency and a parameter such as Size or Rotation that is determined by the algorithm.

Example:
Changing the rotation of algorithms marked by * results in a change of the tile shape which allows the creation of dramatic tilings not possible with other apps.


Lozenges tiling


Lozenges tiling rotated by -120 degree

• Rectangular Tiling
  
• Unit Square Tiling
  
• * Square Tiling 45 degrees
  
• Triangles 2 Tiling
  
• Triangles 6 Tiling
  
• * Lozenges Tiling
  
• * Triangles mirror Tiling
  
• Hexagonal Tiling
  
• Cairo 18 degrees Tiling
  
• * Cairo mirror Tiling
  
• * Square mirror Tiling 45 degrees
  
• * Octagonal mirror Tiling 45 degrees
  
• Decagonal Triangles Tiling
  
• * PolyCairo Tiling
  

discussion :
This is the color implementation of the tiling algorithms found in XYza Semiregular tiles. See Color Regular tiles above for information about the color mapping and parameter options. Those algorithms with mirror in the name may appear the same as the unmirrored algorithm as the mirroring affects the XY coordinates that are absent from the colored version outputs.

• Square and triangles
  
• Square and triangles mirror
  
• Hexagons and triangles
  
• Hexagons,squares,triangles
  
• Hexagons,squares,triangles mirror
  
• Squares and triangles B mirror
  
• Decagons and pentagons mirror
  
• Islamic sixfold A
  
• Islamic sixfold B
  
• Islamic heigthfold
  
• Islamic heigthfold 45 degrees
  
• Islamic ninefold
  
• Islamic tenfold A
  
• Islamic tenfold B
  
• Islamic twelvefold A (hexa)
  
• Islamic twelvefold B (hexa)
  
• Islamic twelvefold C (45 degrees)
  
• Islamic sixteenfold
  
• Pentagonal cristal mirror
  

discussion :
Color texture made up of colored triangles. The alpha channel provides a bevel effect to the tile tops when the RGB alpha bump color shader is used. The parameter options determine the color shading: use procedural color cycle, use main gradient, use indexed gradient. When Indexed Gradient is selected, parameter B determines the gradient that is used. When it is chosen, you can also edit the gradient by editing the Gradient Edit icon that appears below the parameter sliders.
In 1.5 this texture has moved inside the Periodic patterns # component.

discussion :
Color texture made up of colored hexagons. The alpha channel provides a bevel effect to the tile tops when the RGB alpha bump color shader is used. The parameter options determine the color shading: use procedural color cycle, use main gradient, use indexed gradient.
In 1.5 this texture has moved inside the Periodic patterns # component.

discussion :
Periodic patterns # provides a large set of 2D DF compatible infinite repetitive patterns that were not covered in existing sets. Many designs were inspired by real life examples found in Dubai or discovering other culture designs like the Korean set. The 4th output provide the alpha channel in non DF mode or the distance estimation in DF modes. In DF mode each of these pattern can be use in 3D modeling to texture and carve objects. In general the "Style" parameter affects one or mode variables and the shading options. A contour line shaded with Aux color A is added at the pattern zero crossings when style is above 0.5. Positive regions will progressively be "emptied" when style is above 0.75. At 1 only the contour remains. In general background color is shaded using Aux color B.

The options gives full access to all color and freq/amp modes with the 1.5 Color/freq Options set.
Examples can be found in ArtMatic Designer CTX/Libraries/Component 8.5/2D Patterns/

• Hexagonal phase tiles:
  legacy reimplementation that supports all color/frequency modes
• Triangular phase tiles:
  legacy reimplementation that supports all color/frequency modes. The "Style" parameter controls the phase.
• Triangular tiles:
  A simple triangular tiling. The "Style" parameter offers several coloring shemes.
• Persian Peacock:
  Inspired by a persian design this implements the Peacock pattern in an hexagonal grid. The "Style" parameter variate coloring shemes.
  
  
  Example in Voyager CTX/Voyager Examples/VY15 Examples/DF2D patterns/
  
  
• Hexagonal flowers:
  A simple flower design in an hexagonal grid.
• Star 8 mashrabiya:
  The simplest star pattern is made with two overlapping squares with one rotated at 45 degree making a 8 branch star. The overall pattern uses the Alternate Heightfold symmetries found in 22 Mirrors N Tiles # component. The Default colors are inspired by persian tiling.
  
  
  Example in ArtMatic CTX//Libraries/Components 8.5/2D patterns/DFtile star8.artm
  
  
• Star 8 and 5 mashrabiya:
  A classic mashrabiya featuring 8 branches stars with pentagonal smaller stars and octagons in an orthogonal grid.
  
  
  Example in ArtMatic CTX/Libraries/Components 8.5/2D patterns/
  
  
• Indian mashrabiya:
  Inspired by a indian design this pattern alternates 45 rotated squares which makes octagons emerge. The "Style" parameter variate coloring shemes and modulates contours width.
  
  
  Example in Voyager CTX/Voyager Examples/VY15 Examples/DF2D patterns/
  
  
• Indian flowers:
  Indian inspired flower mandala in an 45° square grid.
  
  
  Example in Voyager CTX/Voyager Examples/VY15 Examples/DF2D patterns/
  
  
• Star 12 mashrabiya:
  A classic islamic 12 branch star pattern in a square grid with default colors inspired by turkish tiling. "Style" controls shading as well as clamping of tile heights. Clamping varies as a saw wave of style. When style is above 0.5 DF contour is added.
  
  
  Example in ArtMatic CTX/Libraries/Components 8.5/2D patterns/DFTile S12 SRshaded.artm
  
  
• Star 12 hexa:
  A classic islamic 12 branch star pattern in an hexagonal grid with default colors inspired by persian tiling. "Style" works like with Star 12 mashrabiya.
  
  
  Star 12 hexa with Style above 0.6
  
  
• Hexagon overlaps:
  Overlaps hexagons so that smaller hexagones are created in the overlapping regions. "Style" controls shading and the size of overlaps as well as clamping of tile heights. Clamping varies as a saw wave of Style.
  
  
  Example in ArtMatic CTX/Libraries/Components 8.5/2D patterns/
  
  
• Squares overlaps:
  Overlaps squares with Style controlling various parameters as with Hexagon overlaps.
  
  
  Squares overlaps with style at 0.82, reflection shaded
  
  
• Octagons overlaps:
  Overlaps Octagons with Style controlling various parameters as with Hexagon overlaps.
  
  
  Octagons overlaps with style at 0.608, reflection shaded
  
  
• Discs overlaps:
  Overlaps circles with Style controlling various parameters as with Hexagon overlaps.
  
  
  Discs overlaps with style at 0.84, reflection shaded
  
  
• Atomik:
  
  Atomik with style at 0.96 yielding a contour only + reflection shading
  
  
• Checkboard striped:
  With wood tones Checkboard striped alterates horizontal and vertical stripes. A lozenge placed at intersects is controlled by Style values.
  
  
  Example in ArtMatic CTX/Libraries/Components 8.5/2D patterns/
  
  
• Korean alternated:
  Inspired by a design often found in Korea this tiling alternates smaller squares split horizontally and vertically.
  
  
  
  
  
• Korean tiles:
  Inspired by a design found in Korea this tiling is build around the 90 rotation of a rectangle (here the white rectangle). It is often used to decorate windows or panels in architecture.
  
  
  
  
• Korean interleaved:
  Inspired by a design found in Korea this tiling interleave an H shape. In pure contour form (when style >0.8) it is often used to decorate windows or panels inside a house.
  
  
  Korean interleaved with contour color set to red and style at 0.6.
  
  
• Binary splits:
  Split surrounding squares by a factor of 2. Default colors are using primary hues and white.
  
  
  
  
  
• SciFi tiles: Simple thematic pattern suited to texture Techno/Scifi/industrial 3D elements like a tube or spaceship corridors.
  
  
  SciFi tiles
  
  
• Venitian arcs:
  Tiling of Arc shapes.
  
  
  
  
  
• Disks variation:
  Discs based design. Colors are modulated with low freq variations depending on "Style" parameter.
  
  
  Example in Voyager CTX/Voyager Examples/VY15 Examples/DF2D patterns/
  
  
• Star 8 variation:
  A checkboard pattern based on the Star8 shape. Colors are modulated with low freq variations depending on "Style" parameter. "Style" controls shading and clamping as well. Clamping varies as a saw wave of style. When style is above 0.5 a DF contour is added.
  
  
  Example in ArtMatic CTX/Libraries/Components 8.5/2D patterns/
  
  
• Squares variation:
  A checkboard pattern where colors are modulated with low freq variations depending on "Style" parameter. "Style" controls shading and clamping as well. Clamping varies as a saw wave of style. When style is above 0.5 a DF contour is added. Squares variation is useful for OpArt and Graphic design.
  
  
  Squares variation with deformed space
  
  
• Stars and octogons:
  Tiles Star8 shape with octagons and squares. Default colors are inspired by persian tiling. "Style" controls shading as well as clamping of tile heights. Clamping varies as a saw wave of style. When style is above 0.5 a DF contour is added.
  
  
  Stars and octogons with style at 0.92
  Example in ArtMatic CTX/Libraries/Components 8.5/2D patterns/
  
  

discussion :
DF Patterns # provides a set of 2D DF compatible randomized non-periodic infinite patterns. Ranging from purely geometric, thematic, or for decorative design they can cover a wide range of use.
A DF contour line shaded with Aux color A is added at the pattern zero crossings when "Style" is above 0.5. In non DF modes the tile border are shaded with the same color as well when style is below 0.5.
Positive regions will progressively be "emptied" when style is above 0.75. At 1 only the contour remains. This mechanism allows to overlay different patterns using logic components. Several patterns will also set tiles to negatives before the contour is added. In that case the style is multiplied by 2 and the cycle happends twice : once without contour between 0-0.5 and once with contour between 0.5 and 1 range. Then the exact value where tile starts to vanish will after 0.37 and after 0.87. In non DF mode the negative regions are shaded using Aux color B.
The dynamic icon representation in ArtMatic UI is sensitive to the "Syle" parameter.
The options gives full access to all color and freq/amp modes with the 1.5 Color/freq Options set.
Examples can be found in ArtMatic Designer CTX/Libraries/Component 8.5/2D Patterns/

• Puzzle:
  A simple puzzle pattern with random colors.
• Disc overlap:
  With random color this pattern overlaps capsules at 45 degree.
• Displaced :
  Randomly displaced alternate tiles are divided by a 45 degree step function. Emerging regions are complex polygons shaped with angles quantized to Pi/8.
  
  
  Displaced with "Style" at 0.88
  
  
• Tech flower tiles:
  A stylized and randomized four branch flower pattern where colors varies slowly.
  
  
  Tech flower
  
  
• People tiles:
  
  
  People tile with "Style" at 0.906
  Examples in ArtMatic CTX//Libraries/Components 8.5/2D patterns/
  
  
• Atomik maze:
  
  
  Atomik maze with "Style" at 0.84
  
  
• Rect overlap:
  Overlaps of random sized and colored rectangles.
  
  
  Rect overlap with "Style" at 0.45
  
  
• Mayan stonewall:
  
  
  Mayan stonewall with "Style" at 0.69
  
  
• Tech stonewall:
  
  
  Tech stonewall with "Style" at 0.75
  
  
• Stepsplit crystal:
  the pattern tiles are randomly split with a 45 degree step function.
• Digital maze:
  
  
  Digital maze with "Style" at 0.75
  
  
• Split branches:
  
  
  Split branches,"Style" at 0.91
  
  
• Paul Klee tiles:
  
  
  Paul Klee tiles
  
  
• Striped patches:
  
  
  Striped patches with "Style" at 0.94
  
  
• Tech network:
  
  
  Tech network overlayed on a periodic pattern, "Style" at 0.92
  
  
• Disc variations:
  Overlaps discs of varying color and size leaving empty regions. Discs are often split with arcs.
  
  
  Disc variations with "Style" at 0.8 and "Color Variance" at 0.5
  
  
• Octagons variations:
  Overlaps of varying size and color octagons split with a 45 degree step function with or without symmetries.
  
  
  Octagons variations with "Style" at 0.8
  
  
• Pentagons variations:
  Overlaps of varying size and color pentagons. The probability of vertical split is 3/4.
  
  
  Pentagons variations with "Style" at 0.15
  
  

discussion :
This component provides a set of 2D textures reminiscent of tiled walls and roofs that are useful for wall and roof textures in ArtMatic Voyager or for 2D decorative design. The colors are subject to random variation. The Color Variance parameter modulates the variation amount. Three parameter options are provided that determine the color mapping: use procedural color cycle, use main gradient, use indexed gradient.

In 1.5 this set of texture is part of a larger set 2D Architectural #

• Roof tubular tiles :
  
• Roof alternate tiles :
  
• Roof 45 degrees tiles :
  
• Wall bricks :
  
• Wall large stones :
  

discussion :
Largely expanded in ArtMatic Engine 8.5, 2D Architectural # provides a set of complex 2D textures designed for architectural and decorative usage. They may be periodic at a large scale but often use internal randomisation even if the overall structure repeats. Sometimes the style parameter will affect the texture design and provide variations. Depending on which specific algorithm the shading may behave like the periodic patterns set (contour lines added above 0.5 etc) or not. The 4th output provide the alpha channel in non DF mode or the distance estimation in DF modes. In any case in can be used for bump mapping or terrain modulation. In DF mode each of these pattern can be use in 3D modeling to texture and carve objects.
2D Architectural has a 3D equivalent but specific stylistic designs in 3D are much more difficult so the 2D version is still often preferable even if it needs more work to get proper uv coordinates.
The Atlas sub set position random images from a Pict Atlas # inside various patterns designs. Since there is no parameter left to specify which input slot, the Atlas image is supposed to be in slot #2 (the second in the pict input list).
The options picker gives full access to all color and freq/amp modes with the 1.5 Color/freq Options set.
Examples can be found in ArtMatic Designer CTX/Libraries/Component 8.5/2D Architecture/ and in ..Voyager CTX/Voyager Examples/VY15 Examples/DF2D Architecture/

• Roof tubular tiles: (legacy)
  
  
  
  
• Roof alternate tiles: (legacy)
  
  
  
  
• Roof 45° tiles: (legacy)
  
  
  
  
• Alternate striped:(legacy)
  Tiles of various sizes are striped alternatively in x or y direction. Default colors uses wood tones. The space between tile is always positive and is shaded with Aux color A when "Style" is below 0.5 and Aux color A when above. As with most DF patterns tiles becomes negative when style is above 0.75.
  
  
  Alternate striped
  
  
• Wall bricks: (legacy)
  Provides a simple wall bricks pattern with brick hues default colors. "Style" parameter decreases the tile spacing. Space between tiles is shaded with Aux color B.
  
  
  Wall bricks
  
  
• Wall large stones:
  Randomly placed rectangular stones. The space between tile is always positive and is shaded with Aux color B when "Style" is below 0.5 and Aux color A when above. As with most DF patterns tiles becomes negatives when "Style" is above 0.75.
  
  
  large stones with style at 0.76 to include negative tiles
  
  
• Mondrian splits:
  A mondrian design where "Style" controls the probability of a tile to be split randomly. Tiles are shaded with quantized colors to keep primaries. Space between tile is negative and shaded with Aux color B when "Style" is below 0.5 and Aux color A when above. Tiles border is shaded with Aux color A when in non DF mode. As with most DF patterns tiles becomes negative when style is above 0.75.
  
  
  Mondrian splits, style 0.76
  
  
• Composite squares:
  Decorative pattern with squares, shaded in a similar way as Wall large stones
  
  
  Composite squares with Style at 0.836
  
  
• Indian room A, Indian room B:
  A collections of various types of patterns inspired by indian designs. The set includes oriental arch doors and various decorative patterns.
  

  Indian room A

  Indian room B used in Indian Palace Voyager CTX/Examples/VY15 Examples/DF2D Architecture

• Atlas gallery:
  The design alternates regions where picts are densely packed or not with each image section separated by bricks and stones textures."Style" controls tiles spacing and the horizontal number of image in a section.
  The images background color uses Aux color A. Space between tile is shaded with Aux color B.
  
  
  Scifi panels
  
  
• Atlas rooms:
  Alternates layout without bricks patterns. When "Style" is above 0.5 images are placed on vertical bands; otherwise "Style" controls the number of images in a section. The space between tile is constant and shaded with Aux color B.
  Example in Voyager CTX/Examples/Examples/VY15 Examples/DF2D Architecture/DF 2D AtlasRoom.vy
  
  
• Atlas patchwork:
  Atlas images are disposed densely in a patchwork or various size tiles. "Style" controls tiles spacing and randomises the images.
  
  
  Example: ArtMatic Designer CTX/Libraries/PictAtlas/Archi 2D Atlas patchwork.artm
  Voyager CTX/Examples/Examples/VY15 Examples/DF2D Architecture/DF 2D Atlas Patchwork.vy
  
  
• Voronoi panels H:
  Horizontal bands layout with voronoi texture panels
  
  
  Voronoi panels Horizontal layout
  
  
• Voronoi panels V:
  Vertical bands layout with voronoi texture panels
  

  Voronoi panels vertical layout

  Voyager CTX/Examples/Examples/VY15 Examples/DF2D Architecture/

• Bahaus building:
  A simple building texture that can be used for windows texturing.
  "Style" controls tiles spacing and the border is always shaded with Aux color B.
  


• Persian panels A,
  Persian panels B:
  Inspired by persian art the layouts mix various patterns
  
  
  Example in ArtMatic Designer CTX/Libraries/Component 8.5/2D Architecture/
  
  
• Korean room:
  Inspired by Korean designs this pattern mixes various tilings in a floor based layout that changes with the Style parameter.
  

  Korean room

  Korean House in Voyager CTX/Examples/Examples/VY15 Examples/DF2D Architecture

• Korean panels:
  Mixes Korean patterns in a square grid. The space between tile is shaded with Aux color A when "Style" is above 0.5. As with most DF patterns tiles becomes negatives when Style is above 0.85.
  
  
• Discs panels:
  Decorative square grid panels filled with overlapping circles at various frequencies.
• Octagon panels:
  Square grid panels filled with an octagons and squares tiling at various frequencies. Space between tile is shaded with Aux color A when "Style" is above 0.5. As with most DF patterns tiles becomes negatives when Style is above 0.85.
  


• Scifi panels:
  Mixes various techno/industrial square panels in a square grid. Unlike with the room version the texture is centered to a square middle.
  Shading behave like with Octagon panels.
  
  
  Scifi panels
  
  
• Scifi room:
  Mixes various techno/industrial patterns in a square grid semi randomly.
  Shading behave like with Octagon panels.
  
  
  Scifi room
  
  

• City A # :
  
• City B # :
  
• City C # :
  
• Alien City # :
  
• High Rise City # :
  

discussion :
RGB+Alpha version of this great noise function. The alpha channel is an independent multi-fractal noise similar to the 21 MultiFractal noise . Essentially, this component that combines the 23 MultiFractal Noise that provides the colors with a 21 MultiFractal Noise.'Roughness' controls the overall fractal dimension. 'Frequency' abides to the standard frequency options settings. 'Contrast' adjust the contrast and saturation of surface's colors.

discussion :
This version of MultiFractal Noise has a sparse distribution of the texture's colors with more neutral warm dark gray shades in the valleys. 'Roughness' controls the overall fractal dimension. 'Frequency' abides to the standard frequency options settings.


A Sparse MultiFractal terrain with a base frequency of 2km in Voyager DF mode

discussion :
This is a gray and tan fractal noise function that creates lovely textures and is very useful in ArtMatic Voyager where it creates lovely desert /volcanic surfaces and coloration. 'Roughness' controls the overall fractal dimension. 'Frequency' abides to the standard frequency options settings.

discussion :
This RGB+Alpha component creates a color texture of muted grays and an alpha channel whose contours are something like a lunar surface that has smooth areas pocked with craters and faceted ridgelines.
'Roughness' controls the overall fractal dimension. 'Frequency' abides to the standard frequency options settings.


A Fractal facets terrain with a base frequency of 5km in Voyager DF mode

discussion :
As the name implies, this component provides sand dune coloration and surface contours when used in ArtMatic Voyager. 'Amplitude' governs the dune height and 'Amount' governs the distribution and contours of the dunes.'Frequency' abides to the standard frequency options settings.

discussion :
Lunar Granite creates a chaotic texture akin a granitic rock with shades of brown and green in the rough regions. 'Contrast' adjust the contrast and saturation of surface's colors. Other parameters works as usual.'Frequency' abides to the standard frequency options settings.


A Lunar Granite terrain with a base frequency of 5km in Voyager DF mode

discussion :
Accum surfaces # provides Band-limited (high frequencies are filtered) versions of accumulation based random textures suited for terrains design for ArtMatic Voyager. They can of course be used as textures for 2D but they will "vanish" when frequencies gets above a limit level, usually below pixel level. Except Random Domes all Accum surface noises uses Aux color B for background color. In most cases the "Style" parameter increases randomisation and size differences.

The options gives full access to all color and freq/amp modes with the 1.5 Color/freq Options set.

• Random Domes:
  Reimplement the legacy Random Domes. The new implementation provides all color palettes and frequencies/Amplitude options. Background color is forced to black.
• Sharp Bedrock:
  Accumulates a set of sharp edges shapes suited for a bedrock terrain.
  
  
  Voyager CTX Examples/VY15 Examples/Accumulation patterns/AccumSurfTerrains SharpBedrock.vy
  
  
• Round Bedrock:
  Accumulates a set of round shapes suited for a bedrock terrain.
  
  
  Voyager CTX Examples/VY15 Examples/Accumulation patterns/AccumSurfTerrains MixedBedrock.vy
  
  
• Mixed Bedrock:
  Accumulates a set of mixed shapes suited for a bedrock terrain.
• Volcanoids:
  Accumulates a sparse set of volcanoid shapes (undulated cones with a crater) suited for to mix with terrain.

discussion :
Color texture+elevation component useful for creating rocky surfaces in ArtMatic Voyager. In Voyager's combination mode 'Rocks' can be used to add rocky areas to built-in planets.'Tint' adjust the color shading of surface's colors with dark contrasted bluish tones in the middle to sienna earth brighter tones near maximum.'Frequency' abides to the standard frequency options settings.


'24 Rocks' terrain with a base frequency of 5km in Voyager DF mode and 'Tint' at 0.8

discussion :
Color texture+elevation component that creates the appearance of yellow-green lichen-covered rocks when used in ArtMatic Voyager. 'Amount' controls the statistical weight of the rocks. 'Frequency' abides to the standard frequency options settings.


'Lichen Rocks' terrain with a base frequency of 5km in Voyager DF mode and 'Tint' at 0.8

discussion :
Color texture+elevation component that creates a rocky landscape with boulders whose surfaces are rounded. 'Amount' controls the shape of the boulders by clamping more or less while 'Roughness' controls the overall fractal dimension.
'Frequency' abides to the standard frequency options settings.


'Dome Rock' terrain with a base frequency of 2km in Voyager DF mode and 'Amount' at 0.75

discussion :
Crossfade two RGBA packed inputs using a linear interpolation. 'Interpolate' parameter determines the balance between the two inputs. The function is also available with a packed output using 21 S:P Maths # component with the 'blend' algorithm.

discussion :
This components mixes the two inputs RGBA stream by adding the RGB and alpha values of the inputs independently. Parameter B, which controls the second input's level, has a range from -2 to +2. When it has a negative value, the result is subtraction of Input B's pixels from Input A's.

Starting with ArtMatic 5, this component no longer limits values to 0 and over. Negative colors can be interesting for special effects (such a negative lights). If you need to clamp values to 0 and over, use any of the following: 44 Smooth Floor or the 33 RGB Colorize clamp function.
In 1.5 this component has disappeared. Use the Packed Maths Add equivalent.

• The RGB output formula is: (Input A RGB * Level A) + (Input B RGB * Level B)
• The alpha output formula is (Input A Alpha * Level A) + (Input B Alpha * Level B)

• Add :
  
• Blend :
  
• Subtract (A-B) :
  
• Difference |A-B| :
  This groups performs the same operation as the 21 S:P Maths when used on RGBA streams. Use this version when the output needs to be unpacked.


• Multiply Alpha + blend Colors :
  The alpha channels are multiplied and the colors of the two channels blended (interpolated). Parameters: Interpolate Color,Level Alpha A,Level Alpha B,Amplitude Alphas %
• Multiply All :
  Does a strict multiply off both the alpha channels and the RGB channels. Parameter B = Scale Alpha. Parameter C is unused.
• Blend Alphas + Colors :
  Blend Alphas + Colors - blend the alpha and RGB channels with different amounts. Parameter A controls the color blending while parameter B controls the alpha blending. This is useful for mixing RGBA channels and also for blending colored DF objects channels. It allows you to add bumps (for example) from one channel while keeping the color from the the other channel (unlike the normal Packed Alpha Blend component).
• Add Alphas + multiply Colors :
  Parameter A controls the blending of color A with the result of multiplied colors of the two RGB channels. Parameter B scales the Alpha channel of the first input. Parameter C scales the Alpha channel of the second input and the two are added together. Output alpha = (Alpha A * B) + (Alpha B * C)
• Subtract Alphas + blend Colors :
  Parameters: Interpolate Color, Amplitude Alpha A, Amplitude Alpha B
• Blend on lows(A) :
  Parameters: Interpolate Color, Interpolate Alpha,Level Offset %, Smoothness %
  
  
  • Does a blending of colors and alpha separately and take a smoothed maximum of A with the blend of A B. For Terrain building it has the effect of keeping the higher parts of A intact, a useful feature to add details on the valleys while keeping the mounts of A.
  • Level Offset adjusts the Altitude at which the blending occurs.


• Blend on highs(A) :
  Parameters: Interpolate Color, Interpolate Alpha, Level Offset %, Smoothness %
  
  
  • "Blend on highs" has the effect of keeping the lower parts of A intact instead of the heights, a useful feature to add details on the mountains only when designing terrains.
  • "Level Offset" adjusts the altitude at which the blending occurs.


• Set Reflection Color :
  Useful for Voyager reflection shading x output this component returns in Alpha the maximum of the RGB component value of the RGBA streams that has the greatest alpha value.

discussion :
Packed Logic provides a variety of ways to mix two RGBA streams or two colored DF 3D objects (where object color is in the first three inputs and the distance field is in the fourth input). It is similar to 21 Logic tools # but is useful for combining colored objects.
Learn more about DF modeling in Building 3D Objects : DFRM guide.

Example: Intersection (Min) - X: Yellow Sphere and Y: Blue Cube

• Intersection (Min) :
  "Follow A" controls the blending of shape X and shape Y. When "Follow A" is 0, the blending is done strictly according to the selected algorithm. As the value of "Follow A" increases, the influence of shape X increases and morphing effects can be achieved. Smoothness controls the feathering at the intersection of shape X and shape Y. With no feathering, the algorithm is followed strictly and there can be very abrupt transitions. Increasing the feathering smooths the intersections.


Example: Intersection (Min) - Applying Smoothness 0 to Max


• Union (Max) :
  Combines the two inputs. You may also use the 21 S:P Logic and Profiles # equivalent (LINK http://uisoftware.com/docs/artmatic/tiles_21.html#S_P_Logic_Profiles)
• Subtract (Min(x,-y)):
  Subtract shape Y from shape X. The Colors of the subtracted part are set to Y colors. Subtraction can be use to dig a hole on a shape. Logical operations (the sign) are preserved when chaining the output of this component. As a result, subtracting from a subtracted object can yield a positive area.


Subtract (Min(x,-y)) Applied to Sphere and Cube


• Framed subtract :
  Subtract input Y from input X framing the border of the intersection with positive values using the colors of input B. Parameter B controls the mixing of X's and Y's colors. The "frame" is controlled by "Border Thickness" and "Border Spread" parameters. This algorithm is particularly useful designing architectural features such as windows and doors. Unlike the "edged" algorithms, the border texture comes entirely from input B.


The tower windows here were cut using the Framed Subtract algorithm.


• Repulsive union :
  
• Repulsive subtract :
  
• Ripple union :
  
• Ripple subtract :
  A RGBA version of the Repulsive logic functions. See the 21 Logic tools # at the repulsive section.
• S-Ripple union :
  
• S-Ripple subtract :
  A RGBA version of the Ripple logic functions. See the 21 Logic tools # at the ripple section.


• Partial subtract :
  When designing DF objects Partial Subtract is useful for embossing, cutting windows, carving and texturing. When "subtract" parameter is positive it will subtract Y from X leaving a hole in X with the inner color coming from input Y. When "subtract" parameter is negative it will add a bump to X but still using the Y color. As with the edged algorithms an edge is added at the intersects of X and Y if the "Border Thickness" (C) and "Border Spread" (D) parameters are non zero. Since partial subtract keeps most of the object X intact it is a often used to carve the X surface using a volumetric texture in Y.


Partial subtract of a sphere to a cube. Notice the red edge at the cube and sphere intersect.


Partial subtract of a volumetric Maze panel texture applied to the cube.


• Edged intersect :
  
• Edged subtract :
  
• Edged Union - :
  
• Edged Union + :
  These related algorithms performs the given logical function and adds edges at the intersect of A and B. The edges are colored with the depth cue color. "Border Thickness" controls the thickness of the edge. "NE Level" can further thicken or reduce the non-edge part of the solid but shall be kept at zero in most of the time. If you use "NE Level" to subtract significantly from the original volume you will obtain "floating" edges.


This Venetian tower uses Edged Intersect for the main blocks and Partial Subtract for the windows.


• Underlay (x top) :
  A RGBA version of the Underlay logic functions. Y shape goes below X shape and X zero crossings are preserved. See also the 21 Logic tools #
• Overlay (y top) :
  A RGBA version of the Overlay logic functions. Y shape goes above X shape and Y zero crossings are preserved. Negative alphas are set to Aux color A.
• Xor :
  A RGBA version of the Xor logic functions. Xor sets the intersection of X and Y to negative (2 positives becomes negative).
• Union Xor :
  A RGBA version of the Union Xor logic functions. Union Xor sets the intersection of X and Y to positive and affects them the 50% mix of X and Y color. Note the zero crossings of X AND Y are preserved by union Xor. It is necessary to add a negative offset to the result to see it.


Example: Union Xor - Applied to sphere and cube.


• Fuzzy Intersection (1.5) :
  The packed RGBA DF texture is assumed to be connected in Y. The "range" parameter sets how far the DF of the texture will expand around the object boundaries. Negatives (spaces) of the textures completely carves the object volume. The "level adjust" parameter adjust the DF level of the Y texture.
  
  
  Fuzzy Intersection of Accumulation pills
  
  

• Compose over color :
  A and B composited over a colored background. This was the original algorithm. Blend the two inputs treating the alpha channels as transparency. The background color defined by parameter C shows through where the inputs are transparent. 'Feather' A and 'Feather' B control the feathering of the left input (A) and right input (B) with respect to their alpha masks. A large feathering value reduces hard mask edges by blurring the transition from transparent to opaque.
• Max Compose :
  Adds B over A using Maximum for the alpha channels and alpha blending for the RGB channels. This mode is now the default and is well-suited for 2D graphics compositing.

discussion :
Packed morph uses exponentials to blend between two RGBA input streams. The morph equation, log(exp(A) + exp(B)) , creates a smooth blending of the two inputs when their alpha values are close but works like a maximum function when they are far apart.
'Interpolate A->B' parameters sets the balance between A & B. Keep it in the middle (0.5) for a natural 'union' of both. 'Color Feather' will control how much color will blend in the morphing. You may also use the S:P Logic & Profiles chisel union with a high smooth value to obtain a nice morph blending between two DF field with the chisel offset parameter contolling the blending shape and width.