Monday, March 23, 2009

7. The Tessellation Problem

Congrats to those who figured out "The Tessellation Problem" before reading the following:

A pyramid can tile, or "tessellate" a 2-D space, as can a square. A circle or oval cannot.

A pyronic tetrahedron on the other hand, cannot tessellate a 3-D space, but a cube can, and a sphere most certainly cannot.

Is this then, a problem?

At first I thought so, then I realized this:

The "out" is that two tetrahedrons and one octahedron can tessellate 3-D space. All three would then constitute a rhomboid, of which a cube is a special case (all right angles and vertices of equal length). And once again, the number "three" shows itself in Physics.

Can "The Old One" as Einstein called him settle for such a situation, especially if He uses Occam's razor?

Perhaps, and here's why:

With Pyrons alone, I could figure out what alleged "point particles" (they're not points) photons, electrons, quarks, and neutrinos look like, but not gluons, and those are the 5 things that make up 99.9+ percent of our Universe, and each of us.

But having TWO basic shapes would solve the gluon problem, and chirality too.

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