As we need to show the case to hold for all n>0, we will proceed by induction.

To start we will need to show that the case holds when n=1 and when n=2. This can be done most easily by the use of drawings which are helpful for geometric proofs. (Make note here of the fact that after we have drawn all of our red lines our counters are back in the corners)

[Now that we have those two cases we notic... more

As we need to show the case to hold for all n>0, we will proceed by induction.

To start we will need to show that the case holds when n=1 and when n=2. This can be done most easily by the use of drawings which are helpful for geometric proofs. (Make note here of the fact that after we have drawn all of our red lines our counters are back in the corners)

[Now that we have those two cases we notic... more

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