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Radius of a circumscribed sphere of a Regular Octahedron

An octahedron is a polyhedron with eight faces. A regular octahedron is a Platonic solid composed of eight equilateral triangles, four of which meet at ... more

Arthur Cayley formula ( regular nonconvex polyhedra)

In geometry, the density of a polytope represents the number of windings of a polytope, particularly a uniform or regular polytope, around its center. ... more

Area of a right prism (surface area)

Prism is a polyhedron with an n-sided polygonal base, a translated copy (not in the same plane as the first), and “n” other faces (necessarily ... more

Volume of a right prism (regular base)

A right prism is a prism in which the joining edges and faces are perpendicular to the base faces. The volume of a right prism whose base is a regular ... more

Radius of circumsphere of the regular tetrahedron

The radius of the circumsphere of the regular tetrahedron can be computed by the edge length

... more

Radius of tetrahedron's midsphere (related to the edge)

The midsphere or intersphere of a regular tetrahedron is a sphere which is tangent to every edge of the tetrahedron

... more

Volume of a pyramid

In geometry, a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form a triangle. It is a ... more

Radius of tetrahedron's midsphere (related to the circumradius and the inradius)

The midsphere or intersphere of a regular tetrahedron is a sphere which is tangent to every edge of the tetrahedron.

... more

Rhombic triacontahedron Area

Rhombic triacontahedron is a convex polyhedron with 30 rhombic faces. It has 60 edges and 32 vertices of two types. The ratio of the long diagonal to the ... more

Antiprism uniform ( surface area )

In geometry, an n-sided antiprism is a polyhedron composed of two parallel copies of some particular n-sided polygon, connected by an alternating band of ... more

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