Hexagonal Gyroid

13 May, 2022

6-Colouring

156156

Loop Cycles

\((t_1-,f_1,f_2,t_1-,t_2-,t_1-)\;\)\((t_1-,t_2-,t_2-,f_2,f_3,t_2-)\;\)

Gyre Multipliers

\(4*gyre_2, 4*gyre_5,\)

Growth

Single Tile Boundary Vertices

Topology Type

Infinite Genus

Skeleton Type

Laves graph (srs)

Files

graphML Download

Embedding

Notes

The gyroid minimal surface separates two spatial labyrinths of equal volume that wind along two enantiomorphic laves graphs. It can be tiled by hexagons.

For more on the gyroid read the still active webpage of Alan H. Schoen. Or have a look at the heptagonal tiling.