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|Faces||1+1 isosceles triangles, 2 scalene triangles|
|Vertex figure||1+1 isosceles triangles, 2 scalene triangles|
|Measures (edge length 1)|
|Abstract & topological properties|
|Symmetry||A1×I×I, order 2|
A sphenoid is a type of tetrahedron with only one symmetry axis. As such it has two different isosceles triangles and two identical scalene triangles as faces, and can also be called a mirror-symmetric tetrahedron.
In vertex figures[edit | edit source]
Sphenoids occur as vertex figures in a total of 23 non-prismatic uniform polychora, including all the cantitruncated polychora, also known as great rhombates. They also appear as vertex figures in the prisms of the 10 3D truncates.