Rectified truncated dodecahedron explained

Faces:92:
20 equilateral triangles
60 isosceles triangles
12 decagons
Edges:180
Vertices:90
Symmetry: order 120
Rotation Group: order 60
Dual:Joined truncated dodecahedron
Properties:convex
Net:Rectified truncated dodecahedron net.png

In geometry, the rectified truncated dodecahedron is a convex polyhedron, constructed as a rectified, truncated dodecahedron. It has 92 faces: 20 equilateral triangles, 60 isosceles triangles, and 12 decagons.

Topologically, the triangles corresponding to the dodecahedrons's vertices are always equilateral, although the decagons, while having equal edge lengths, do not have the same edge lengths with the equilateral triangles, having different but alternating angles, causing the other triangles to be isosceles instead.

Related polyhedra

The rectified truncated dodecahedron can be seen in sequence of rectification and truncation operations from the dodecahedron. Further truncation, and alternation operations creates two more polyhedra:

See also

References

External links