- The first key is to find the regulation. Attention: P1, P2, P3…Pn means the removed area in each step (that was my mistake). Each time, we can find that the black area around each white square is divided into 8 smaller squares with one third of the side length before.
- The second key is to notice that ΣPn is a sum of geometric series, then we can use related knowledge to figure it out.
- For question 5(c), we can notice that each time, the removed new squares are always from the middle of black area. Therefore, it is impossible to remove the point on one corner of the whole carpet.
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