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Radius of an inscribed sphere in a circumscribed 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

Regular Icosahedron ( inscribed sphere radius)

An icosahedron is a polyhedron with 20 triangular faces, 30 edges and 12 vertices. A regular icosahedron has 20 identical equilateral faces, with five of ... more

Dodecahedron regular (inscribed sphere radius

A regular dodecahedron is a polyhedron composed of 12 regular pentagonal faces, with three meeting at each vertex. It has 20 vertices, 30 edges and 160 ... more

Volumes of the maximum inscribed box of an elipsoid

An ellipsoid is a closed quadric surface that is a three dimensional analogue of an ellipse.a, b, c.are called the semi-principal axes.They correspond to ... more

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

The inscribed sphere or insphere of a regular tetrahedron is a sphere that is contained within the tetrahedron and tangent to each of the ... more

Radius of tetrahedron's insphere (related to the circumradius)

The inscribed sphere or insphere of a regular tetrahedron is a sphere that is contained within the tetrahedron and tangent to each of the tetrahedron’s ... more

Radius of sphere tangent to edges of a cube

The radius of the sphere tangent to the edges of the cube is related to the length of the edge of the cube

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Radius of circumscribed sphere of a cube

A circumscribed sphere of a polyhedron is a sphere that contains the polyhedron and touches each of the polyhedron’s vertices. The radius of sphere ... more

Length of a side of an inscribed square in a triangle

Every acute triangle has three inscribed squares (squares in its interior such that all four of a square’s vertices lie on a side of the triangle, so ... more

Area of a regular inscribed n-gon (polygon)

The area of a regular inscribed n-gon (polygon) can be computed in terms of the radius R of its circumscribed circle and its perimeter p

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