Cylinder

A cylinder is a 3-dimensional rotatope produced by creating a prism with a Disk as the base.

Structure and Sections[]

The cylinder is composed of two disc shaped faces joined by a curved face. Its sections can either look like a line segment growing to a square and back, or a disc that stays the same throughout the sections.

Hypervolumes[]

vertex count = $0$
edge length = $2\pi l$
surface area = $\frac{3\pi}{2} l^2$
surcell volume = $\frac{\pi}{4} l^3$

Equations[]

The surface of a cylinder of radius r and height h, centered at the origin and axially symmetric about the x-y plane, can be given by $x^2 + y^2 = r^2$ and $z^{2}=({\frac {h}{2}})^{2}$ .

Subfacets[]

2 circles (1D)
2 discs (2D)
1 tube (2D)
1 cylinder (3D)