The pistol polyhex is the 4-polyhex in which three constituent regular hexagons are pairwise edge-adjacent and the fourth is attached along an edge to one of them. It is one of the seven 4-polyhexes when shapes that differ only by translation, rotation, or reflection are identified (Gardner 1978, p. 147). Its cell-adjacency graph is the paw graph.
Pistol Polyhex
See also
Paw Graph, PolyhexExplore with Wolfram|Alpha
References
Gardner, M. Mathematical Magic Show: More Puzzles, Games, Diversions, Illusions and Other Mathematical Sleight-of-Mind from Scientific American. New York: Vintage, p. 147, 1978.Cite this as:
Weisstein, Eric W. "Pistol Polyhex." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PistolPolyhex.html