User:Jack1993jack/Edgerley Equations

The Edgerley Equations are a set of equations that determine the geometry and properties of n-dimensional solids.

Hypercube
The Edgerley Equations define a hypercube as an n-dimensional solid with vertices at $$\left ( \underbrace{\pm 1, \pm 1, \cdots}_{n} \right )$$. For example, a 4-dimensional hypercube has vertices at coordinates $$\left ( \pm 1, \pm 1, \pm 1, \pm 1 \right )$$ The properties of an n-hypercube with dimension $$a$$ are given as;