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Octahedral pyramid
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<p>In 4-dimensional <a href="/facts/Geometry/wTQf5ffQ">geometry</a>, the octahedral pyramid is bounded by one <a href="/facts/Octahedron/G38q92xW">octahedron</a> on the base and 8 <a href="/facts/Triangular_pyramid/7mkSrl6j">triangular pyramid</a> <a href="/facts/Cell_(mathematics)/T2E6BTU4">cells</a> which meet at the apex. Since an octahedron has a circumradius divided by edge length less than one, the triangular pyramids can be made with regular faces (as regular <a href="/facts/Tetrahedron/7mkSrl6j">tetrahedrons</a>) by computing the appropriate height. </p><p>Having all regular cells, it is a <a href="/facts/Blind_polytope/uAou4w1F">Blind polytope</a>. Two copies can be augmented to make an <a href="/facts/Octahedral_bipyramid/X0YAfobw">octahedral bipyramid</a> which is also a Blind polytope. </p>