Cubinder

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Cubinder
Rank4
Notation
Tapertopic notation211
Toratopic notation(II)II
Bracket notation[(II)II]
Elements
Cells4 cylinders, 1 solid square torus
Faces4 disks, 4 hoses
Edges4 circles
Measures (edge length 1)
Circumradius
Volume
Height
Related polytopes
DualDibicone
ConjugateNone
Abstract & topological properties
OrientableYes
Properties
SymmetryO(2)×B2
ConvexYes

A cubinder is a prism based on a cylinder. As such, it is the Cartesian product of a circle and a square, and the limit of n,4-duoprisms as n goes to infinity. It consists of a ring of 4 cylinders joined at their circles, joined to a lateral surface similar to a square torus.

It can roll on its square torus surcell; it rolls like a circle and covers the space of a line.

It is a rotatope, thus it is also a toratope, a tapertope, and a bracketope.

Coordinates[edit | edit source]

Where r is the radius of the base and h is the height:

Points on the edges of a cubinder are all points (x,y,z,w) such that

Points on the faces of a cubinder are all points (x,y,z,w) such that

  • (circles)
  • (hoses)
  • (hoses)

Points on the surcell of a cubinder are all points (x,y,z,w) such that

  • (cylinders)
  • (cylinders)
  • (solid square torus)

Points in the interior of a cubinder are all points (x,y,z,w) such that

External links[edit | edit source]