Advent of Tilings - Day 19.1
A somewhat loftier contribution to the infinite theme. Watch out for the CYAN colored edges of the hexagons forming straight lines. The tiling is embeddable and monohedral, …
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Advent of Tilings - Day 18.3
After applying “growth strategy 2” 15 times, adding 15 layers we end up with 21819 tiles.
The number of tiles in the added layers for the first ten steps:
1 + 9 + 34 + 98 + 204 + 358 + 560 + 804 + 1094 + 1413 + …
Advent of Tilings - Day 18.4
The surface can be broken down into modules of 6x4 monohedral tiles. If we shave off the fluff and only stick modules together, we get a surface with a boundary that always has the same openings.
Advent of Tilings - Day 19.1
A somewhat loftier contribution to the infinite theme. Watch out for the CYAN colored edges of the hexagons forming straight lines. The tiling is embeddable and monohedral, …
Advent of Tilings - Day 19.2
… but the looping rules are not easy too follow…
(f₁f₂)² and f₁t₁t₂t₂f₂t₂⁻¹t₁t₂ and (f₁t₁t₂)³
#math #geometry #3d #combinatorics #tiling #AdventOfTilings
Advent of Tilings - Day 20.1
Adding a little twist of the necks in the surface of day 19, we can open the structure even more, while still keeping the concatenated CYAN edges straight. The tiling remains embeddable and monohedral.
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