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Polyhexes - Categorized

22 Jan 2020 06:12 by deveaswj
Expanding on properties of polyhexes in images in the Wikipedia article: https://en.wikipedia.org/wiki/Polyhex_(mathematics)
Flat colors within a polyhex represent how many sides of the given hexagon connect to other hexagons within the polyhex (orange=1, blue=2, purple=3, red=4).
Faceted hex markers are colored by which category the adjacent polyhex belongs to.
• Pink are all similarly 1orange-{n:1-3}blue-1orange, like a two-headed worm.
• Grey are 1blue-2purple triads with 1orange ends on each of the purples.
• Turquoise are 2blue-1purple triads with a {n:0-1}blue+1orange tail on the purple.
• Green are (two 1orange "pigtails" or "mouse ears")-1purple-{n:0-1}blue-1orange.
• Lavender indicates no orange hexes within the polyhex.
Pentahexes:
The four Yellow pyramidal hex markers indicate unique pentahex configurations. Of these, three include a red hex, one has three purple hexes, and two have no orange hexes at all.