SOMA Crystal
PYRAMIDS
A New Notation method

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There are many ways to present SOMA figures, Most of these fall short, because we try to describe a 3Dimensional figure on a flat 2 dimensional text. The best way, I believe, is the 'Buildup Description' as it is used by all these SOMA figure pages, and by the SOLVE program.

There is however another way, that we may describe a certain subgroup of SOMA figures, the PYRAMID notation.
This notation method DO have some drawbacks, but it is easy to use, and to visualize. Here are some notes and limitations of the method.

The structure, but not the solution, of PYRAMIDS may be described in text as seen from the top. Noting the number of cubes on top of each other.

A (4,4,3) PYRAMID
2321
2321
2221
1111
/.5../556./1166
/.5../476./1333
/..../477./4732
/..../..../4222

As you see, I call these figures PYRAMID's, because in these figures, just as in a Pyramid, every cube is supported by a cube directly below it, and although these figures are often not as facinating to look at as the irregulars, they do posses the advantage of a much simpler description.


Now - how do PYRAMID's look.?

(001) Is a typical PYRAMID, because all cubes are fully supported.
(002) Is NOT a PYRAMID, because the top of the gallow is unsupported
(004) Looks like a PYRAMID, BUT it is NOT, because there are two hidden holes inside
(B037) Is clearly NOT a PYRAMID, because it is mostly unsupported.
(I001) Is a PYRAMID, because ALL cubes are supported



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