! Polyhedra !
Expanded Rhombic Triacontahedron
The polyhedron sitting on top of my desk in this photo consists of 122 faces: 20 triangles, 60 squares, 30 golden rhombi (arranged as in the rhombic triacontahedron), and 12 pentagons. Constructed with b1s and r1s zome struts. It is a zonish form derived from the Icosidodecahedron expanded with six zones. George W. Hart discusses this and similar polyhedra on his page Zonish Polyhedra and on his book Zome Geometry.
According to Jim McNeill, the Expanded Rhombic Triacontahedron can also be produced from the Rhombic Triacontahedron by a process of expansion: "Each face of the Rhombic Triacontahedron is moved outwards until there is a distance of one unit between each originally adjacent face. These gaps are filled by the insertion of square faces. The remaining holes, corresponding to the original vertices of the Rhombic Triacontahedron can be filled by triangles and pentagons."
Expanded Rhombic Triacontahedron
The polyhedron sitting on top of my desk in this photo consists of 122 faces: 20 triangles, 60 squares, 30 golden rhombi (arranged as in the rhombic triacontahedron), and 12 pentagons. Constructed with b1s and r1s zome struts. It is a zonish form derived from the Icosidodecahedron expanded with six zones. George W. Hart discusses this and similar polyhedra on his page Zonish Polyhedra and on his book Zome Geometry.
According to Jim McNeill, the Expanded Rhombic Triacontahedron can also be produced from the Rhombic Triacontahedron by a process of expansion: "Each face of the Rhombic Triacontahedron is moved outwards until there is a distance of one unit between each originally adjacent face. These gaps are filled by the insertion of square faces. The remaining holes, corresponding to the original vertices of the Rhombic Triacontahedron can be filled by triangles and pentagons."