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2. Truncated icosahedron - Wikipedia

   en.wikipedia.org/wiki/Truncated_icosahedron

   The surface area and the volume of the truncated icosahedron of edge length are: [2] = (+ +) = +. The sphericity of a polyhedron describes how closely a polyhedron resembles a sphere. It can be defined as the ratio of the surface area of a sphere with the same volume to the polyhedron's surface area, from which the value is between 0 and 1.

3. Snub dodecahedron - Wikipedia

   en.wikipedia.org/wiki/Snub_dodecahedron

   (The fact that the proper amount to pull the faces out is less in the case of the snub dodecahedron can be seen in either of two ways: the circumradius of the snub dodecahedron is smaller than that of the icosidodecahedron; or, the edge length of the equilateral triangles formed by the divided vertices increases when the pentagonal faces are ...

4. Snub cube - Wikipedia

   en.wikipedia.org/wiki/Snub_cube

   For a snub cube with edge length , its surface area and volume are: [5] = (+) = + (). The snub cube is an Archimedean solid , meaning it is a highly symmetric and semi-regular polyhedron, and two or more different regular polygonal faces meet in a vertex. [ 6 ]

5. Regular dodecahedron - Wikipedia

   en.wikipedia.org/wiki/Regular_dodecahedron

   If the edge length of a regular dodecahedron is , the radius of a circumscribed sphere (one that touches the regular dodecahedron at all vertices), the radius of an inscribed sphere (tangent to each of the regular dodecahedron's faces), and the midradius (one that touches the middle of each edge) are: [21] =, =, =. Given a regular dodecahedron ...

6. Snub disphenoid - Wikipedia

   en.wikipedia.org/wiki/Snub_disphenoid

   The lengths of the five simple closed geodesics on a snub disphenoid with unit-length edges are 2 3 ≈ 3.464 {\displaystyle 2{\sqrt {3}}\approx 3.464} (for the equatorial geodesic), 13 ≈ 3.606 {\displaystyle {\sqrt {13}}\approx 3.606} , 4 {\displaystyle 4} (for the geodesic through the midpoints of opposite edges), 2 7 ≈ 5.292 ...

7. Template:Convert/list of units/volume/metric - Wikipedia

   en.wikipedia.org/wiki/Template:Convert/list_of...

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9. Rhombicuboctahedron - Wikipedia

   en.wikipedia.org/wiki/Rhombicuboctahedron

   The volume of a rhombicuboctahedron can be determined by slicing it into two square cupolas and one octagonal prism. Given that the edge length a {\displaystyle a} , its surface area and volume is: [ 7 ] A = ( 18 + 2 3 ) a 2 ≈ 21.464 a 2 , V = 12 + 10 2 3 a 3 ≈ 8.714 a 3 . {\displaystyle {\begin{aligned}A&=\left(18+2{\sqrt {3}}\right)a^{2 ...