Interestingly then, the main places where we find 5 sided symmetry in the universe is in living things, such as flowers, and the DNA molecule! To my way of thinking this is because the crystalline grid of spacetime is formed of 3, 4, and 6 symmetry interlocking patterns, and life can only fit into this grid by constantly adjusting itself, using its movement through time (and possible timelines) to enable higher dimensional integration. It is the four-dimensional hypercube, or 4-cube as a part of the. This peculiarity of the five sided forms continues in 3D where the Tetrahedron, Cube, and Octahedron all fit into each other nicely, but the 5 symmetry dodecahedron and icosahedron form a separate pair, and again they cannot be made to tile space. In my business a 5D cube is an object that exists in spacetime (4D) and has a cost. In 2D space the equilateral triangle, the square, and the hexagon, can all tile space, but the pentagon does not fit into a two dimensional grid like these other forms do. Very affordable in gold plated brass, and very classy in solid gold, silver or platinum. It is available in various sizes and materials. The 5D Cube transcends the lower dimensional split between spirit and matter ~ 5 dimensional The Sacred Geometry Shop sells a beautiful form of it as a 3D printed pendant.
The toroidal form of the 4D cube looks like a 3 dimensionalization of a map compass with its 8 directions, but here they point not only up, down, forwards, backwards, left and right, but also towards the future and past. The 4D cube, also known as the hypercube or tesseract, is called the ‘measure’ polytope because it is the unit in which we would measure 4D space. The ten vertices of the 5-orthoplex graph have 11 correspondence with the 10 tesseracts of the 5D-hypercube.We provide here complete results for colorings for all 36 irreducible representations.
This is a great site for discovering more about the higher dimensional cubes, and they sell a jewelry version of it in a variety of materials.
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