¶ Fourth Dimension
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Index Entry
Remember that the eight cubes around one point in space represent the three dimensions of 90 degreeness. However, when dealing with the 60 degree coordination of tetrahedra, which are the volumes bound by the planes of four edge-joined triangles, you will find that you can get fourth power or ‘four dimensional’ accommodation of space around a point as computed in the terms of linear module frequency of either radius or circumference of the pattern system (which also is to say that linear and angular accelerations are in one-to-one correspondence). You can get 20 tetrahedra around one point, 2⁴ + 2² = 20. Anyone using the tetrahedral concept in coordinating geometry and arithmetic would find that four dimensionality is not an inconceivable or nonconceptual mystery, but a very simple, modelable and rational relationship arrived at by closest packing together of equi-volume tetrahedra around one point.
