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The dual polyhedron of the icositruncated dodecadodecahedron U_(45) and Wenninger dual W_(84).

An irregular dodecahedron.

A sphere with three handles (and three holes), i.e., a genus-3 torus.

To truncate a real number is to discard its noninteger part. Truncation of a (positive) number x therefore corresponds to taking the floor function |_x_|. Truncation also ...

An undecahedron is a polyhedron having 11 faces. Examples include those illustrated above and summarized in the following table. F E V name 11 8 17 biaugmented triangular ...

A parallelogram (parallelepiped) containing the minimum repeatable elements of a circle (sphere) packing.

A cube whose edge lengths are 1. The unit cube therefore has unit volume.

A sphere of radius 1.

A conical frustum is a frustum created by slicing the top off a cone (with the cut made parallel to the base). For a right circular cone, let s be the slant height and R_1 ...

The curve formed by the intersection of a cylinder and a sphere is known as Viviani's curve. The problem of finding the lateral surface area of a cylinder of radius r ...