A **glome** is a 3-dimensional surface produced by finding the set of all points that are an equal distance from another point in 4-dimensional space. Do to it being curved, it is often represented embedded in 4-dimensional space. A glome is the shape of the exterior of a gongol. It is the 3-dimensional hypersphere.

## Embeddings

### ℝ^{4}

A glome can be defined parametrically using the parameters , and by

Where r is a constant defining the radius of the glome. Squaring all of these and adding them together gives the cartesian form of the glome with radius r,

### ℍ^{1}

The glome can also be embedded in a quaternion coordinate space using the parameters , and by