_____________________
|     |     |         |  Layers  1 - 3
|  3  |  3  |         |
|_____|_____|    5    |
|     |     |         |
|  3  |  3  |_________|
|_____|_____|   |     |
|   |   |   |___|  3  |
|___|___|___|   |_____|
|     |     |___|     |
|  3  |  3  |   |  3  |
|_____|_____|___|_____|

 _____________________
|   |   |   |         |  Layers  4 - 5
|___|___|___|         |
|   |   |   |    5    |
|___|___|___|         |
|   |   |   |_________|
|___|___|___|   |     |
|   |   |   |___|  3  |
|___|___|___|   |_____|
|     |     |___|     |
|  3  |  3  |   |  3  |
|_____|_____|___|_____|

 _____________________
|     |   |     |     |  Layer 6
|  3  |___|  3  |  3  |
|_____|   |_____|_____|
|     |___|   |   |   |
|  3  |   |___|___|___|
|_____|___|1|   |     |
|   |   |   |___|  3  |
|___|___|___|   |_____|
|     |     |___|     |
|  3  |  3  |   |  3  |
|_____|_____|___|_____|

 _____________________
|     |   |     |     |  Layers 7 - 8
|  3  |___|  3  |  3  |
|_____|   |_____|_____|
|     |___|   |   |   |
|  3  |   |___|___|___|
|_____|___|   |   |   |
|         |___|___|___|
|         |   |   |   |
|    5    |___|___|___|
|         |   |   |   |
|_________|___|___|___|



 _____________________
|     |   |     |     |  Levels 9 - 11
|  3  |___|  3  |  3  |
|_____|   |_____|_____|
|     |___|   |   |   |
|  3  |   |___|___|___|
|_____|___|     |     |
|         |  3  |  3  |
|         |_____|_____|
|    5    |     |     |
|         |  3  |  3  |
|_________|_____|_____|

Figured the lone cube had to be dead center and the big cubes as far apart as possible.  This left 1080 cubes which divided into 6 nicely regular sections made from a layer of 3 cubes topped by a layer of 2 cubes and oriented appropriately. 
Warren Phillips
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