+Z
                                    |
                        (--+)-------|------*--------------(-++)
                         /|         |     /|               /|
                        / |         |    / |     -X       / |
                       /  |         |   /  |     /       /  |
                      /   |         |  /   |    /       /   |
                     /    |         | /    |   /       /    |
                    /     |         |/     |  /       /     |
                   *----------------*----------------*      |
                  /|      |        /|      |/       /|      |
                 / |      *-------/-|------*-------/-|------*
                /  |     /|      /  |     /|      /  |     /|
               /   |    / |     /   |    / |     /   |    / |
              /    |   /  |    /    |   /  |    /    |   /  |
             /     |  /   |   /     |  /   |   /     |  /   |
          (+-+)--------------*--------------(+++)    | /    |
            |      |/     |  |      |/     |  |      |/     |
-Y ---------|------*---------|------*---------|------*---------------- +Y
            |     /|      |  |     /|      |  |     /|      |
            |    / |    (---)|----/-|------*--|----/-|----(-+-)
            |   /  |     /   |   /  |     /   |   /  |     /
            |  /   |    /    |  /   |    /    |  /   |    /
            | /    |   /     | /    |   /     | /    |   /
            |/     |  /      |/     |  /      |/     |  /
            *----------------*----------------*      | /
            |      |/       /|      |/        |      |/
            |      *-------/-|------*---------|------*
            |     /       /  |     /|         |     /
            |    /       /   |    / |         |    /
            |   /       /    |   /  |         |   /
            |  /       /     |  /   |         |  /
            | /      +X      | /    |         | /
            |/               |/     |         |/
          (+--)--------------*--------------(++-)
                                    |
                                   -Z

empty:					1	00000000
	trivial
corner:					8	00000001
	three edges plus 1/8 sphere
edge:					12	00000011
	edge
two corners sharing an edge:		12	00000110
	corner + corner
elbow:					24	00000111
	two edges plus crotch
flat surface:				6	00001111
	trivial
three corners sharing edges:		8	00010110
	corner + corner + corner
pc-7:					8	00010111
	three edges plus three vees plus complex crotch
two corners sharing point:		4	00011000
	corner + corner
edge with corner touching it:		24	00011001
	edge + corner
pc-5/6 internal corner:			12	00011011
	two edges plus two vees plus twist crotch
pc-6/5 internal corner:			12	00011101
	two edges plus two vees plus twist crotch
corner edge-touching elbow:		24	00011110
	elbow + corner
edge meeting flat:			24	00011111
	edge plus two vees
two edges edge-touching:		6	00111100
	edge + edge
diagonal bridge internal corner:	24	00111101
	two edges plus three vees
concave edge:				12	00111111
	vee
checkerboard:				2	01101001
	corner + corner + corner + corner
pc-7 with edge-touching fillin:		8	01101011
	pc-7 + corner
two edge-touching edges meeting flat:	12	01101111
	edge + edge plus four vees
diagonally opposite voids:		4	01111110
	void + void
one void:				8	01111111
	three vees
filled space:				1	11111111
	trivial

rounded edge
1/8 sphere
elbow crotch
pc-7 crotch
twist crotch
edge meeting flat
vee