|---|---|-------|---------------|
|   | 2 | 2   2 | 2   2   2   2 |
|---|---|       |               |
| 3 | 1 | 2   2 | 2   2   2   2 |
|---|---|-------|               |
| 3   3 | 1   1 | 2   2   2   2 |
|       |       |               |
| 3   3 | 1   1 | 2   2   2   2 |
|-------|-------|---------------|
| 3   3   3   3 | 1   1   1   1 |
|               |               |
| 3   3   3   3 | 1   1   1   1 |
|               |               |
| 3   3   3   3 | 1   1   1   1 |
|               |               |
| 3   3   3   3 | 1   1   1   1 |
|---------------|---------------|

This is a pictorial proof of the following identity:

(1/4) + (1/4)2 + (1/4)3 + .... = 1/3





Naeem's homepage