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Ode to Penrose #172
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
25.33%
Substitution Level
36.33%
Realization
87.33%
Proximity Vector
8.00%
Metric
24.33%
Uniform Patches
80.00%
Vertical Borders
53.33%
One Sided Color Shifting
86.67%
Vertical Color Shifting
48.67%
Color Resets
14.67%
Palette
7.00%

features

Uniform Distant Based

25.33% (76) have this trait

11

36.33% (109) have this trait

Distance Based Erasing

87.33% (262) have this trait

Diagonal

8.00% (24) have this trait

Chebyshev

24.33% (73) have this trait

No

80.00% (240) have this trait

Yes

53.33% (160) have this trait

No

86.67% (260) have this trait

Yes

48.67% (146) have this trait

1

14.67% (44) have this trait

Jubilant

7.00% (21) have this trait

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