Geometrical Boundaries

Vertex count
Full article: Vertex

The vertex count of a shape is the total number of vertices (points that are part of a larger shape) it has. This can therefore be considered the shape's total extent in zero-dimensional space.

Vertex count is unitless.

Edge length
The edge length of a shape is the total length of all of its edges. This can therefore be considered the shape's total extent in one-dimensional space. The edge length of a polytelon is called its length. The edge length of a polygon is called its perimeter.

Edge length in physics is measured in metres.

Surface area
The surface area of a shape is the total area of all its faces. This can therefore be considered the shape's total extent in two-dimensional space. The surface area of a polygon is simply called its area.

Surface area in physics is measured in meters squared.

Surcell volume
The surcell volume of a shape is the total volume of all its cells. This can therefore be considered the shape's total extent in three-dimensional space. The surcell volume of a polyhedron is simply called its volume.

Surface area in physics is measured in metres cubed.

Surteron bulk
The surteron bulk of a shape is the total bulk of all its tera. This can therefore be considered the shape's total extent in four-dimensional space. The surteron bulk of a polychoron is simply called its bulk.

Surteron bulk in theoretical physics is measured in metres to the fourth.