X

This article is about the polyhedron written as X in Stewart notation. For the polytope with the plain-text Coxeter diagram x, see Dyad.

X
(3D model) (OFF file)
Rank	2
Type	Acrohedron
Notation
Stewart notation	X J63m T'J91'
Elements
Faces	1+1+1+2+2+2 triangles, 1+1 squares, 1+2 pentagons
Edges	1+1+1+1+1+2+2+2+2+2+2+2+2+2+2
Vertices	1+1+1+2+2+2+2+2
Abstract & topological properties
Flag count	100
Euler characteristic	2
Orientable	Yes
Genus	0
Properties
Symmetry	A1×I×I, order 2
Convex	No
Nature	Wild

X is a non-convex regular-faced polyhedron. It can be made by blending m with the tridiminished icosahedron along three triangular faces.

Gallery

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Related polytopes

An exploded view of 6 Xs around a central cube, viewed along a triangular-symmetric axis.

6 Xs can be blended to the 6 square faces of a cube. This blend is used in the construction of the holey monster to increase its genus.