## FANDOM

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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