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|Faces||24 isosceles triangles, 6 squares, 8 triangular-symmetric enneagons|
|Vertex figures||24 isosceles triangles|
|24 isosceles trapezoids|
|Measures (based on regular enneagons of edge length 1)|
|Edge length ratio|
|Number of external pieces||38|
|Abstract & topological properties|
|Symmetry||B3, order 48|
The sesquitruncated octahedron is a near-miss Johnson solid. Its faces are 24 isosceles triangles, 6 squares and 8 enneagons.
To construct it, one needs to inscribe an enneagon in every face of a regular octahedron and fill all the remaining gaps with triangles and squares.
The sesquitruncated octahedron is a cell of the sesquitruncated rectified cubic honeycomb which is a near-miss CRF honeycomb.
Its other cell types are: sesquitruncated cuboctahedra, deformed cuboctahedra and deformed tetrahedra.
Variations[edit | edit source]
There is one variant of the sesquitruncated octahedron with regular enneagons. If the edge length of the enneagon is 1, the other edge length is ≈ 1.04967.