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Ode to Penrose #119
uMathA

Ode to Penrose is a celebration of the natural beauty of aperiodic tilings, especially of the ones discovered by Sir Roger Penrose. These tilings lie at the intersection of complex mathematical problems and gorgeous visual aesthetics arising from finite amounts of simple objects.

This project introduces novel ways to use Penrose tiles. Unlike in traditional deterministic usage of these tiles, stochasticity plays a very important part of the script. Randomness can affect things like the total amount of the tiles used, their orientation, coloring, and size. Familiar patterns can be witnessed in some outputs and yet they are completely absent in others. Despite this, perhaps surprisingly, each output could be completed into a traditional Penrose tiling without erasing any lines.

feature
value
Substitution Method
22.00%
Substitution Level
38.33%
Realization
87.33%
Proximity Vector
9.33%
Metric
24.33%
Uniform Patches
20.00%
Vertical Borders
53.33%
One Sided Color Shifting
86.67%
Vertical Color Shifting
51.33%
Color Resets
16.00%
Palette
3.33%

features

Chaotic

22.00% (66) have this trait

12

38.33% (115) have this trait

Distance Based Erasing

87.33% (262) have this trait

Central Vertical Line

9.33% (28) have this trait

Chebyshev

24.33% (73) have this trait

Yes

20.00% (60) have this trait

Yes

53.33% (160) have this trait

No

86.67% (260) have this trait

No

51.33% (154) have this trait

4

16.00% (48) have this trait

Optimistic

3.33% (10) have this trait

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