Triamond triangular cupola section
Jump to navigation
Jump to search
Triamond triangular cupola section  

Rank  3 
Type  Convex triamond polyhedron 
Elements  
Faces  2 trapezoids, 2 squares, 2 triangles 
Edges  4+4+2+1 
Vertices  4+2+1 
Measures (minor edge length 1)  
Volume  
Surface area  
Central density  1 
Number of external pieces  6 
Level of complexity  11 
Abstract & topological properties  
Flag count  44 
Euler characteristic  2 
Surface  Sphere 
Orientable  Yes 
Genus  0 
Properties  
Convex  Yes 
Nature  Tame 
History  
Discovered by  Roger Kaufman 
The triamond triangular cupola section is a convex triamond polyhedron. It can be formed by blending two square pyramids and two tetrahedra such that they all have an edge in common and combining coplanar faces. It can also be formed by diminishing the triangular cupola by a triamond antiprism 2,2, or by diminishing the triamond stretched octahedron by two square pyramids.
Gallery[edit  edit source]

Disection of the triangular cupola into two convex triamond polyhedra. Red (left) is the triamond triangular cupola section and blue (right) is the triamond antiprism 2,2.

Triamond triangular cupola section as a section of the triangular cupola. Orange indicates the triamond triangular cupola section, transparency indicates the remainder of the triangular cupola (Triamond antiprism 2,2).
External links[edit  edit source]
 Kaufman, Roger. "Convex Triamond Regular Polyhedra."