Rhombicuboctahedron
Also known as small rhombicuboctahedron
The rhombicuboctahedron or small rhombicuboctahedron is a polyhedron with 26 faces, consisting of 8 equilateral triangles and 18 squares. It was named by Johannes Kepler in his 1618 Harmonices Mundi, being short for truncated cuboctahedral rhombus, with cuboctahedral rhombus being his name for a rhombic dodecahedron.
Key facts
- Polyhedron.name
- Rhombicuboctahedron
- Polyhedron.image
- Rhombicuboctahedron (green).png
- Polyhedron.type
- ArchimedeanUniform polyhedron
- Polyhedron.faces
- 8 equilateral triangles18 squares
- Polyhedron.edges
- 48
- Polyhedron.vertices
- 24
- Polyhedron.symmetry
- Octahedral symmetry \mathrm{O}_\mathrm{h} Pyritohedral symmetry \mathrm{T}_\mathrm{h}
- Polyhedron.schläfli
- r \begin{Bmatrix} 3 \\ 4 \end{Bmatrix}
- Polyhedron.angle
- square-to-square: 135° square-to-triangle: 144.7°
- Polyhedron.vertex_figure
- Polyhedron small rhombi 6-8 vertfig.svg
- Polyhedron.vertex_config
- 24 (3 \cdot 4^3)
- Polyhedron.dual