| 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 | D4d, [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.
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Make 3D Solid Shapes - Square Antiprism / Четырехугольная антипризма
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Make 3D Solid Shapes - Pentagonal Antiprism / Пятиугольная антипризма
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3D Geometry: Antiprism Unfolding into Two Pyramids
Transcription
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
| Symmetry | D2d, [2+,4], (2*2) | D3d, [2+,6], (2*3) | D4d, [2+,8], (2*4) | D5d, [2+,10], (2*5) |
|---|---|---|---|---|
| Antiprisms |  s{2,4}     (v:4; e:8; f:6) |
 s{2,6}  (v:6; e:12; f:8) |
 s{2,8}  (v:8; e:16; f:10) |
 s{2,10}  (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
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This page was last edited on 24 March 2024, at 23:18