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Ode to Penrose #177
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
23.75%
Substitution Level
13.75%
Realization
87.50%
Proximity Vector
8.75%
Metric
23.33%
Uniform Patches
80.83%
Vertical Borders
46.25%
One Sided Color Shifting
85.00%
Vertical Color Shifting
50.83%
Color Resets
16.25%
Palette
4.17%

features

Uniform

23.75% (57) have this trait

10

13.75% (33) have this trait

Distance Based Erasing

87.50% (210) have this trait

Three Circles

8.75% (21) have this trait

Chebyshev

23.33% (56) have this trait

No

80.83% (194) have this trait

No

46.25% (111) have this trait

No

85.00% (204) have this trait

No

50.83% (122) have this trait

3

16.25% (39) have this trait

Tender

4.17% (10) have this trait

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