Metabiaugmented truncated dodecahedron

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Metabiaugmented truncated dodecahedron
Metabiaugmented truncated dodecahedron.png
Type Johnson
J69J70J71
Faces 5×2+5×4 triangles
2+2×4 squares
2 pentagons
10 decagons
Edges 120
Vertices 70
Vertex configuration 4×2+8×4(3.102)
2+2.4(3.4.5.4)
5×4(3.4.3.10)
Symmetry group C2v
Dual polyhedron -
Properties convex
Net
Johnson solid 70 net.png

In geometry, the metabiaugmented truncated dodecahedron is one of the Johnson solids (J70). As its name suggests, it is created by attaching two pentagonal cupolas (J5) onto two nonadjacent, nonparallel decagonal faces of a truncated dodecahedron.

A Johnson solid is one of 92 strictly convex polyhedra that are 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]

3D model of a metabiaugmented truncated dodecahedron J70 metabiaugmented truncated dodecahedron.stl
3D model of a metabiaugmented truncated dodecahedron

References

  1. 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 .