“Truncated square antiprism”的意思、由来-开放百科全书

词条

Truncated square antiprism

释义

Gyroelongated triamond square bicupola
Related polyhedra
Snub square antiprism
References

Truncated square antiprism

Type	Truncated antiprism
Schläfli symbol	ts{2,8} tsr{4,2} or
Conway notation	tA4
Faces	18: 2 {8}, 8 {6}, 8 {4}
Edges	48
Vertices	32
Symmetry group	D_4d, [2⁺,8], (2*4), order 16
Rotation group	D₄, [2,4]⁺, (224), order 8
Dual polyhedron
Properties	convex, zonohedron

The truncated square antiprism one in an infinite series of truncated antiprisms, constructed as a truncated square antiprism. It has 18 faces, 2 octagons, 8 hexagons, and 8 squares.

Gyroelongated triamond square bicupola

If the hexagons are folded, it can be constructed by regular polygons. Or each folded hexagon can be replaced by two triamonds, adding 8 edges (56), and 4 faces (32). This form is called a gyroelongated triamond square bicupola.^[1]

Related polyhedra

Truncated antiprisms
Symmetry	D_2d, [2⁺,4], (2*2)	D_3d, [2⁺,6], (2*3)	D_4d, [2⁺,8], (2*4)	D_5d, [2⁺,10], (2*5)
Antiprisms	s{2,4} {{CDD>node_h\|2x\|node_h\|4\|node}} (v:4; e:8; f:6)	s{2,6} {{CDD>node_h\|2x\|node_h\|6\|node}} (v:6; e:12; f:8)	s{2,8} {{CDD>node_h\|2x\|node_h\|8\|node}} (v:8; e:16; f:10)	s{2,10} {{CDD>node_h\|2x\|node_h\|10\|node}} (v:10; e:20; f:12)
Truncated antiprisms	ts{2,4} (v:16;e:24;f:10)	ts{2,6} (v:24; e:36; f:14)	ts{2,8} (v:32; e:48; f:18)	ts{2,10} (v:40; e:60; f:22)

Snub square antiprism

Although it can't be made by all regular planar faces, its alternation is the Johnson solid, the snub square antiprism.

References

1. ^Convex Triamond Regular Polyhedra

Snub Anti-Prisms

1 : Polyhedra

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