# Stauromesohedron (EntityTopic, 11)

(Redirected from Co)

The stauromesohedron is also known as the cuboctahedron. Of the six uniform mesohedra, it is the only one whose elemental name is longer (by one syllable) than its widely accepted name, however it was renamed for consistency. t has 6 squares and 8 triangles as its faces, two of each kind of face join at each vertex.

## Equations

• The hypervolumes of a cuboctahedron are:
total edge length=24l surface area= (6+2√3) · l2 volume = 5√23 · l3

## Incidence matrix

Dual: rhombic dodecahedron

 # TXID Type Name Va Ea 3a 4a 0 Va = point ; 1 Ea 2 = digon ; 2 3a 3 3 = triangle ; 3 4a 4 4 = square ; 4 C1a 12 24 8 6 = stauromesohedron ;

## Usage as facets

 Notable Trishapes Regular: tetrahedron • cube • octahedron • dodecahedron • icosahedron Direct truncates: tetrahedral truncate • cubic truncate • octahedral truncate • dodecahedral truncate • icosahedral truncate Mesotruncates: stauromesohedron • stauroperihedron • stauropantohedron • rhodomesohedron • rhodoperihedron • rhodopantohedron Snubs: snub staurohedron • snub rhodohedron Curved: sphere • torus • cylinder • cone • frustum • crind