Originated 15-Jan-97 for Son's Homework.
Last Updated on 24-Dec-2000
(re-sized Chart)
By Axiompc
| EDGES → | 3 Blocks | 4 Blocks | 5 Blocks | 6 Blocks | 7 Blocks | 8 Blocks | 9 Blocks | 10 Blocks | 11 Blocks | 12 Blocks | 13 Blocks | 14 Blocks | 15 Blocks |
| ↓ Cubes → | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
| Un-Painted | 1 | 8 | 27 | 64 | 125 | 216 | 343 | 512 | 729 | 1000 | 1331 | 1728 | 2197 |
| 1Side Painted | 6 | 24 | 54 | 96 | 150 | 216 | 294 | 384 | 486 | 600 | 726 | 864 | 1014 |
| 2 Sides Painted | 12 | 24 | 36 | 48 | 60 | 72 | 84 | 96 | 108 | 120 | 132 | 144 | 156 |
| 3 Sides Painted | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| Check Sum = | 27 | 64 | 125 | 216 | 343 | 512 | 729 | 1000 | 1331 | 1728 | 2197 | 2744 | 3375 |
| No. of Sides Cubed = | 27 | 64 | 125 | 216 | 343 | 512 | 729 | 1000 | 1331 | 1728 | 2197 | 2744 | 3375 |
| NOTES: - | |||||||||||||
| Unpainted uses the formula: - (n-2)^3 | |||||||||||||
| 1Side Painted uses formula: - 6*(n-2)^2 | |||||||||||||
| 2 Sides uses formula: - 12*(n-2) | |||||||||||||
| 3 Sides Painted is a CONSTANT = 8 | |||||||||||||
|
The Check System is to total all of the calculated sides and compare them to the number of blocks per edge cubed. (e.g. for 5 blocks per edge = 27 + 54 + 36 + 8 = 125 and 5 x 5 x 5 = 125). [For figures refer to table]. |
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