Parabiaugmented truncated dodecahedron

Last updated
Parabiaugmented truncated dodecahedron
Parabiaugmented truncated dodecahedron.png
Type Johnson
J68J69J70
Faces 3×10 triangles
10 squares
2 pentagons
10 decagons
Edges 120
Vertices 70
Vertex configuration 2×10+20(3.102)
10(3.4.5.4)
20(3.4.3.10)
Symmetry group D5d
Dual polyhedron -
Properties convex
Net
Johnson solid 69 net.png

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 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 parabiaugmented truncated dodecahedron J69 parabiaugmented truncated dodecahedron.stl
3D model of a parabiaugmented 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 .