Semi Regular Tesselations
From Ultrafractal Wiki
Semi Regular Tesselations are a set of Transformations in sam.ufx.
Contents |
What is it?
A regular tessellation is a tessellation using one kind of regular polygon. In the the plane, there are three of them : one with squares, one with equilateral triangles and one with regular hexagons.
In a semi-regular tessellation, you can use different kind of regular polygons, provided you find the same polygons around each vertex. More precisely, a tiling is said to be uniform if, for any two vertices, it has a symmetry that maps one of them into the other one. So the semi regular tessellation are the uniform tilings by regular polygons.
There are eight different planar semi regular tessellations.
For more detailed explanations, go here.
These transforms also include the dual tessellations (the tessellation obtained when each vertex is transformed into a polygon center and each polygon center into a vertex). Moreover there is a feature that switch the "standard" tiling into a spiral one.
Parameters
Spiral Tessellation ?
Switch to the spiral tessellation.
Dual Tessellation ?
Switch to the dual tessellation.
Mode
Enables you to choose which tiles are visible (the other are assigned solid color). The "Dual" modes are only for the dual tessellations.
Magnification/Rotation/Center
To define the part of the underlying image that will be mapped on the tiles.
Stabilize ?
The mapped images have all the same orientation. This is useful for light effects or shades.
Spiral Order I/II, Spiral Slope
Only when "Spiral Tessellation ?" is enabled. See Logarithmic Spiral Tiling.
Stabilize Spiral ?
To "stabilize" in the spiral mode. Can produce strange things when enabled in the standard mode.
