Edge length

The edge length of a shape is the total length of all of the shape's edges. It can be considered to be the total extent of all of the shape's 1-subfacets in 1-dimensional space. The edge length of a polytelon is called its length. The edge length of a polygon is called its perimeter.

An edge length has dimensions of [length].

Edge Length Formulae

1-Dimensional

Shape	Length Formula	Variables
Line segment	$a$	a = edge length
Circle	$\pi d$	d = diameter of circle

2-Dimensional

Shape	Length Formula	Variables
Square	$2\left(a+b\right)$	a, b = edge length
Disk	$\pi d$	d = diameter of disk
Regular P-Gon	$pa$	p = number of edges, a = edge length
Regular P/Q-Gon	$pa$	p = number of edges, a = edge length
Tube	$2 \pi d$	d = diameter of disk

3-Dimensional

Shape	Length Formula	Variables
Cube	$4\left(a + b + c\right)$	a, b, c = edge lengths
Cylinder	$2 \pi d$	d = diameter of disk
Tetrahedron	$6a$	a = edge length
Octahedron	$12a$	a = edge length
Dodecahedron	$30a$	a = edge length
Icosahedron	$30a$	a = edge length
Regular P,Q-hedron	$\frac{2pq}{4 - \left( p -2 \right) \left( q - 2\right)} a$	a = edge length