Central Tesselations
From Ultrafractal Wiki
Central Tesselations is a Transformation in sam.ufx.
Contents |
What is it?
This transform produce an interesting non periodic tesselation of the plane. Triangles are arranged around a point, giving a kind of circular pattern. It can also display quite puzzling spiral tesselations.
Parameters
Mode
Choose which tiles are visible.
Symmetry Order (/2)
Gives the number of triangle round the center. Since spiral tesselation doesn't work with odd order, the order you enter is doubled. Putting 6 will give rise to a 12-fold symmetric pattern.
Top/Bottom part shift
Enables you to shift the top and the bottom part of the tessellation, producing a spiral tessellation.
Mapping Center/Rotation/Magnification
Which region of the underlying fractal will be mapped on the tiles.
Stabilize ?
When enabled, the image mapped on the tile has always the same orientation, regardless the tile's orientation.
Point 1/.../10
Enables you to modify the base tile (triangle). These parameters works as in Octagon Limit. Set the real part between 0 and 1 and the imaginary part between -0.2 and 0.2. If you see strange things, reduce the imaginary part.
Examples
Copyright 2000 Samuel Monnier
centraltilingexample {
; Copyrights 2000 S. Monnier
; http://www.crosswinds.net/~s31415/index/index.htm
fractal:
title="centraltilingexample" width=600 height=600 layers=1
credits="Samuel;7/21/2000"
layer:
caption="New Layer 2" opacity=100 method=multipass
mapping:
center=-0.0177489560466569184/-0.0237997125112940832
magn=0.743011177637329664 angle=309.434890158257664 transforms=1
transform:
solid=0 filename="sam.uxf" entry="CentralTesselation"
p_mode="Tiles I" p_order=5 p_shift=0 p_center=0/0 p_rot=0 p_magn=1
p_stab=no p_p1=0.2/0.1 p_p2=1/0 p_p3=1/0 p_p4=1/0 p_p5=1/0 p_p6=1/0
p_p7=1/0 p_p8=1/0 p_p9=1/0 p_p10=1/0
formula:
maxiter=100 filename="sam.ufm" entry="pixeldis"
inside:
transfer=none
outside:
transfer=linear filename="sam.ucl" entry="SFBMpix" p_mode="Perlin's"
p_niter=20 p_string=no p_power1=0.1 p_scaledis=1/scale p_size=0.3
p_magn=1.2 p_rot=28 p_power=1 p_sin=Raw p_perturb=no p_seed=123094
p_randmode=Division p_mod="Use sqrt(i)" f_f1=exp
gradient:
smooth=no index=72 color=16777215 index=293 color=11316396
opacity:
smooth=no index=0 opacity=255
}
