Hyper Cube Parts
The table of the how many m-cubes there are in an n-cube starts out like this:
Hyper Cube Parts |
Sub-Cube Dimension m |
|||||
0 |
1 |
2 |
3 |
4 |
||
Cube n |
0 |
1 |
|
|
|
|
1 |
2 |
1 |
|
|
|
|
2 |
4 |
4 |
1 |
|
|
|
3 |
8 |
12 |
6 |
1 |
|
|
4 |
16 |
? |
? |
? |
1 |
|
Homework Problem: What are the missing values?
Star Problem: What does this table look like when you extend it to ten dimensions?