Tetrahedral glaze (EntityTopic, 11)
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The '''tetrahedral glaze''' is the simplest of a family of [[glaze]]s, [[concave]] polytopes formed from a [[uniform polytope|uniform]] parent. It is composed of 54 [[square]] and 12 [[trapezium]] faces, forming six regular [[pentagon]] [[handle]]s. Its [[symmetry group]] is that of the [[tetrahedron]], and its [[convex hull]] is the [[tetrahedral truncate]]. It can be cut cleanly into 5 regular tetrahedra, 12 isosceles tetrahedra and 22 uniform [[triangular prism]]s. | The '''tetrahedral glaze''' is the simplest of a family of [[glaze]]s, [[concave]] polytopes formed from a [[uniform polytope|uniform]] parent. It is composed of 54 [[square]] and 12 [[trapezium]] faces, forming six regular [[pentagon]] [[handle]]s. Its [[symmetry group]] is that of the [[tetrahedron]], and its [[convex hull]] is the [[tetrahedral truncate]]. It can be cut cleanly into 5 regular tetrahedra, 12 isosceles tetrahedra and 22 uniform [[triangular prism]]s. | ||
== External links == | == External links == | ||
[http://www.cs.berkeley.edu/~sequin/GEOM/K12on_G6.html The original tetrahedral glaze], decorated with a non-intersecting K12 | [http://www.cs.berkeley.edu/~sequin/GEOM/K12on_G6.html The original tetrahedral glaze], decorated with a non-intersecting K12 | ||
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Latest revision as of 20:47, 8 February 2014
The tetrahedral glaze is the simplest of a family of glazes, concave polytopes formed from a uniform parent. It is composed of 54 square and 12 trapezium faces, forming six regular pentagon handles. Its symmetry group is that of the tetrahedron, and its convex hull is the tetrahedral truncate. It can be cut cleanly into 5 regular tetrahedra, 12 isosceles tetrahedra and 22 uniform triangular prisms.
External links
The original tetrahedral glaze, decorated with a non-intersecting K12
