This is a flat diagram of a ball! It shows how the pieces of the ball are connected together. The pieces are numbered B01, B02, B03... B12 and W01, W02, W03... W20. The lines show which edges connect together. Several pieces are identical. Black has 4 kinds of pieces with three pieces each. There are also many identical white pieces, but the number of different pieces is around 12. I have no idea how many solutions there are or how long my program will run, assuming that it ends up working someday.
I <---- I is an In (slot)
OB01I <---- B01 is the piece number
1 <---- 1 is the rotation
O O <---- O is an Out (Tab)
5 <---- 5 is the edge number
1B014
4
2 3
Sketch showing pieces, rotation and edge numbers.
-----------------------
/ /------------------ \
| 2 ------- \ \
3B121----4 / -4 3- \ 4 \
4 -5W163 / B08 \ 5W173- \
4 5 / 6 4 2- 5 4 2 -6 4 2 \ \
/ / / / 1 / 1 \ 1 \ \ \
/ / / / / / | \ \ \ \ \
/ / / / 4 / 4 \ 4 \ \ \
/ / / / -5W113 -5W073- 5W123- \ \ \
/ / / / / 6 4 2-/ 6 4 2 \-6 4 2 \ \ \ \
/ / / / / / 1 / 1 \ 1 \ \ \ \ \
/ / / / / / | / | \ | \ \ \ \ \
/ / / / / / 3 2- 4 -5 4 \ \ \ \ \
/ / / / / | B02 -5W023- B03 | \ \ \ \
/ / / / / | 4 4 1/ 6 4 2 \1 4 3 | \ \ \ \
/ / / / / | / 5 / 1 \ 2 \ | \ \ \ \
/ / / | | | / | / | \ | \ | | | \ \
/ / / 3 | 3 | 3 / 5 \ 5 | 5 | 4 \ \
| | | 4B072 -4W062 -4W012 -1B014- 6W034- 6W084- 5B093 | |
| | | | 4 / 5 5 1/ 5 5 1/ 4 \1 4 3 \1 4 3 \ 4 | | |
| | | |5 1- | 6 | 6 2 3 2 | 2 | -1 2| | |
| | | || / \ | \ / \ / | / \ || | |
| | 3 | \ 2 -3 | -2 | | 6- | 5- 6 / | 5 |
| 4W202 3W151--4B062 -3W051 1W045- 1B044--1W135 6W184
| 5 4 1--4 5 6 4 / 4 4 6---2 4 4 \ 4 2 4 4--1 4 3
| | 6 5 \ 5 1- / 5 3 \ -2 3 / 3 2 |
\ \ \ \ \ \ | \ / | / / / / /
\ \ \ \ \ \ 1 -2 1- 1 / / / / /
\ \ \ \ \ 2W106- B05 -2W096 / / / /
\ \ \ \ --3 5 5 \3 4 5/ 3 4 5-- / / /
\ \ \ \ 4 | 4 | 4 / / /
\ \ \ \ | \ | / | / / /
\ \ \ \ 1 \ 1 / 1 / / /
\ \ \ -2B115- 2W146 -2B105- / /
\ \ \ 4 \3 6 5/ 4 / /
\ \ -------3 4 4 3 4------- /
\ \ \ | / /
\ \ \ 1 / /
\ \ -2W196- /
\ -----------3 5------------
--------------4
Sketch showing pieces, rotation and In/Out (notches and tabs).
-----------------------
/ /------------------ \
| I ------- \ \
IB12I----O / -I O- \ I \
1 -IW16I / B09 \ IW17O- \
O O / I 1 I- I 1 I -I 1 I \ \
/ / / / O / O \ O \ \ \
/ / / / / / | \ \ \ \ \
/ / / / I / O \ I \ \ \
/ / / / -IW11O -IW07I- IW12O- \ \ \
/ / / / / I 1 O-/ I 1 O \-I 1 O \ \ \ \
/ / / / / / O / O \ O \ \ \ \ \
/ / / / / / | / | \ | \ \ \ \ \
/ / / / / / O O- O -I I \ \ \ \ \
/ / / / / | B02 -OW02I- B03 | \ \ \ \
/ / / / / | I 1 O/ I 1 O \O 1 O | \ \ \ \
/ / / / / | / I / O \ O \ | \ \ \ \
/ / / | | | / | / | \ | \ | | | \ \
/ / / O | I | O / I \ O | O | 4 \ \
| | | IB07I -OW06O -IW01O -OB01I- IW03O- IW08I- 5B093 | |
| | | | 1 / I 1 O/ O 1 O/ 1 \O 1 I \O 1 O \ 4 | | |
| | | |I O- | I | I O O O | I | -1 2| | |
| | | || / \ | \ / \ / | / \ || | |
| | O | \ I -I | -O | | I- | O- I / | I |
| OW20O IW15O--OB06O -OW05O OW04I- IB04O--OW13I IW18I
| I 1 I--O 1 I 1 / O 1 I---O 1 O \ 1 O 1 I--O 1 O
| | O I \ O I- / I O \ -O I / I I |
\ \ \ \ \ \ | \ / | / / / / /
\ \ \ \ \ \ O -O I- O / / / / /
\ \ \ \ \ OW10I- B05 -IW09I / / / /
\ \ \ \ --I 1 O \I 1 O/ O 1 O-- / / /
\ \ \ \ I | O | I / / /
\ \ \ \ | \ | / | / / /
\ \ \ \ I \ O / I / / /
\ \ \ -IB11O- OW14I -IB10O- / /
\ \ \ 1 \I 1 I/ 1 / /
\ \ -------I O I I O------- /
\ \ \ | / /
\ \ \ O / /
\ \ -IW19I- /
\ -----------O 1 I------------
--------------O