Glome in colors 03
by EngliSea on 2020-04-03
In a one-dimensional space, there is only one direction. So it is straight. If a one-dimensional space is looped, the relationship between points can be represented by a closed curve. But the curve shows just the relationship between points, not the shape of the space. The shape of a one-dimensional space is a straight line.
A circle is a closed curve. So it can be a representation of the one-dimensional looped space.

On a sphere, if you go straight in any direction at any point, you will follow a great circle which can be a representation of a one-dimensional looped space. So a sphere can be a representation of a two-dimensional looped space.
The sphere shows just the relationship between points, not the shape of the space. The shape of a two-dimensional space is a plane.

Can a glome represent a three-dimensional looped space, just as a circle represents a one-dimensional looped space and a sphere represents a two-dimensional looped space?

A glome is in a four-dimensional space. Therefore we can not imagine its shape. So we replace the fourth dimension with the color value and assign two color values to each point except the points at the boundary of the glome. The two values for each point are the same absolute value but opposite in direction.