Parabiaugmented truncated dodecahedron
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69th Johnson solid (52 faces)
| Parabiaugmented truncated dodecahedron | |
|---|---|
| Type | Johnson J68 – J69 – J70 |
| Faces | ×ばつ10 triangles 10 squares 2 pentagons 10 decagons |
| Edges | 120 |
| Vertices | 70 |
| Vertex configuration | 2x10+20(3.102) 10(3.4.5.4) 20(3.4.3.10) |
| Symmetry group | D5d |
| Dual polyhedron | - |
| Properties | convex |
| Net | |
In geometry, the parabiaugmented truncated dodecahedron is one of the Johnson solids (J69). As its name suggests, it is created by attaching two pentagonal cupolas (J5) onto two parallel decagonal faces of a truncated dodecahedron.
A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (that is, they are not Platonic solids, Archimedean solids, prisms, or antiprisms). They were named by Norman Johnson, who first listed these polyhedra in 1966.[1]
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- ^ Johnson, Norman W. (1966), "Convex polyhedra with regular faces", Canadian Journal of Mathematics , 18: 169–200, doi:10.4153/cjm-1966-021-8, MR 0185507, Zbl 0132.14603 .