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Central Design by pillemaster Central Design by pillemaster
Apo + Chaotica

... kinda Apopong with zy0rg ... see:
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kuzy62 Featured By Owner Dec 22, 2017  Hobbyist Digital Artist
rhunel Featured By Owner Nov 28, 2017   General Artist
Very nice!  Like the color choices!
DinkydauSet Featured By Owner Nov 28, 2017  Hobbyist Digital Artist
fractal2cry Featured By Owner Edited Nov 28, 2017
cant view it in chaotica any ideas ty in advance
pillemaster Featured By Owner Nov 28, 2017
And in apophysis? Missing plugins?
fractal2cry Featured By Owner Nov 28, 2017
loaded plugins in chaotica still doesnt show thanks for getting back to me :huggle:
fractal2cry Featured By Owner Nov 28, 2017
apo fine , yeah i think its missing plugins for chaotica & I think i need to find my license for chaotica
zy0rg Featured By Owner Nov 28, 2017  Hobbyist Digital Artist
Looks nice. :thumbsup:
But I believe there is an overlapping here, right? To get rid of it you would need to reimplement the whole tiling using hypershift/poincare.
pillemaster Featured By Owner Nov 28, 2017
<flame name="Apo3D-171127-16" version="Apophysis 7x Version 14" size="1003 514" center="0 0" scale="250.75" oversample="1" filter="0.2" quality="1" background="0 0 0" brightness="4" gamma="4" gamma_threshold="0.04" estimator_radius="9" estimator_minimum="0" estimator_curve="0.4" enable_de="0">
  <xform weight="0.5" color="0" nBlur="1" coefs="1 0 0 1 0 0" post="0 -0.25 0.25 0 0 0" nb_numEdges="3" nb_numStripes="0" nb_ratioStripes="1" nb_ratioHole="0.575" nb_circumCircle="0" nb_adjustToLinear="1" nb_equalBlur="1" nb_exactCalc="0" nb_highlightEdges="1" chaos="0 0 " plotmode="off" opacity="0" />
  <xform weight="0.5" color="0" symmetry="1" hypertile2="1" coefs="-1 0 0 1 0 0" hypertile2_p="3" hypertile2_q="7" chaos="1 5.112 0 " opacity="1" name="n/a"/>
  <xform weight="0.5" color="0" symmetry="1" julian="1" hemisphere="1" coefs="1 0 0 1 0 0" post="0.62026 0 0 0.62026 0 0" julian_power="1" julian_dist="1.28" chaos="1 1 0 " plotmode="off" opacity="0" name="n/a"/>
  <palette count="256" format="RGB">
pillemaster Featured By Owner Nov 28, 2017
yea a tiny overlap remaining. I stretched the triangle a bit into shape, using Julian n=1, distance >1.
zy0rg Featured By Owner Nov 28, 2017  Hobbyist Digital Artist
Yes, julian gives a slightly different shape (same as smartcrop and smartshape). I wanted to "fix" this in smartcrop2/smartshape2 but proper implementation of smartshape2 is tricky.
pillemaster Featured By Owner Dec 1, 2017
has poincare/hypershift any advantage? ... I have no clue how to use it...
zy0rg Featured By Owner Dec 2, 2017  Hobbyist Digital Artist
Hypertile is basically a poincare with pre-calculated offsets, and hypershift is a simplified poincare. So all three mathematically do the same thing.

Try this:
1. Make a vertical line. for example, square with post transformation x:0, y:2.
2. Add a chained hypershift to this line. With default shift value 0.1 you will get a curve like this: (
3. Add a chained hypertile2 to hypershift, and link it back to itself to get a hypertile pattern. Set p:4, q: 6 in parameters.
4. Try changing shift value on hypershift. You will see that the lines align at some values. For example, for p:4, q: 6 hypertile these values are ~0.318, ~0.577, ~0.757 and so on.
Hypertile (plain hypertile, not hypertile2) with p:4, q:6, n:0 will give you the same result as 0.577 hypershift.

So, these hypershift offsets are the coordinates at which hyperbolic tiles align. Knowing this you can tile anything without overlapping.
Here's an example: Hyper. First example just tiles the squares using single hypershift. Second example uses hypershift > crop > hypershift trick to crop the triangle in a hyperbolic way.
There is a way to calculate the exact hypershift offset values, but I don't remember how it's done, and don't really want to investigate it now. You can try to calculate it yourself, or ask Zueuk. He will know for sure.
pillemaster Featured By Owner Dec 3, 2017
Thank you very much for the detailled discribtion... wad a little bit difficult to understand but the examples were very enlightening! Unfortunately one still needs to crop off some overlap... but there should be a way to make a plugin that could do the job for us.... and fit a planar ngon into hyperbolic geometry...
zy0rg Featured By Owner Dec 3, 2017  Hobbyist Digital Artist
You don't need to crop anything if you align the tiles in hyperbolic plane from the beginning. Like in the first example.
Spidron in The Simple One is done this way, and there's no cropping. Parameters are available in Polled flamepack v2 if yo want to have a look.
As for the transformation that will "do the job for us", smartshape2 is the one. There are some issues with it though that cannot be solved in apophysis/chaotica approach, so I will release it only in my editor.
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Submitted on
November 27, 2017
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