Tesseracts and Tessellation:
Understanding the Fourth Dimension without Mathmatics
The top figure is a tesseract which is a fourth dimensional analog to a cube. The cube is a three dimensional analog to the square. Underneath we see a hexagon and next to it a honeycomb which is a tessellation of the hexagon. A tessellation is the process of creating a two-dimensional plane using the repetition of a geometric shape with no overlaps and no gaps. It is an extension of the hexagon into two dimensional space.
When we talk of the other dimensions we are not talking about a separate reality with no relationship to our own. Such “other worlds” are tessellations of a three dimensional space out into the fourth dimension. Thus, every dimension is related to our dimension as the hexagon is to the honey comb.
Now here is an interesting little twist. When I was in college before I knew anything about tesseracts or tessellation I participated in a peyote ceremony. While I was under the influence of this powerful substance I saw intricate three dimensional patterns extending out into space in all directions. I saw a tesseract of a tessellation of my own three dimensional reality.
☯ Samsaran ☯