mathschallenge.net

Problem

Skeleton towers are generated as follows.

How many blocks would be needed to construct the 100th tower?

Solution

It is possible to split a tower in the following way.

And so the 100th tower can be made into a 100 100 square, requiring 10,000 blocks.

One way of constructing three dimensional skeleton towers is as follows.

How many blocks would be needed to construct the 100th tower now?