A polyhedron is obtained by successively cutting off each of the vertices of a rhombo-truncated icosa-dodecahedron (for more detail, No. 29 of the Magic Edges).
Snub dodecahedron is a semiregular polyhedron with two properties:
1. All faces are regular polygons of two types - a pentagon and a triangle;
2. For any pair of vertices, there is a symmetry of the polyhedron (that is, a motion that translates the polyhedron into itself) that transforms one vertex to another.
The snub dodecahedron is one of the 13 solids of Archimedes.
Archimedean solids are semiregular polyhedra in the sense that their faces are regular polygons, but they are not the same, while the condition of one of the types of spatial symmetry: tetrahedral, octahedral or icosahedral is preserved.
The polyhedron can be made in one of the other options - the snub dodecahedron having a twist to the left and having a twist to the right.
snub dodecahedron twisted to the left
snub dodecahedron twisted to the right
We connect two parts of the net into a single net as shown in the figure: Next, we glue the net and obtain a snub dodecahedron polyhedron.
The net of the polyhedron, twisted to the left
The net of the polyhedron, twisted to the right
Video. Build a polyhedron from a single net
We connect two parts of the net into a single net as shown in the figure:
Next, we glue the net and obtain a snub dodecahedron polyhedron.