¶ Six Motion Freedoms & Degrees of Freedom (1)
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Index Entry
"There are the six positive and negative exercises of the motion freedoms, but the freedoms themselves come from the fact that the minimum system in the Universe consists of six vectors: the tetrahedron. The tetrahedron has a minimum of six edges. I want you to try to think about a minimum something. A something, a substance, has an insideness and an outsideness.
"You cannot have a surface without the other surface. We teach kids that in two dimensionality there is only one surface, but we’re always kidding them–we do that on a piece of paper or on a blackboard when they both have more than one side: therefore we have extracted a plane very improperly.
“And we talk about a point which is dimensionless. A line was _ one-dimensional; a plane was two-dimensional; and a cube is three-dimensional. I say we don’t have dimensionality less than four dimensionality. If we have something it is four-dimensional. It is only recently that we have had a microscope. If we took an engineer’s scale we get down to 1/50th of an inch–you can really pick that off with the naked eye. You get down to 100th, you get a glass.”
