Frequently Asked Questions
How many blocks to build a pyramid?
For a solid square pyramid with base n, the formula is n times (n plus 1) times (2n plus 1) divided by 6 - the sum of squares from 1 to n. For a step pyramid with layer-shrink of 2, sum the squares of n, n minus 2, n minus 4, and so on until the apex.
What is the difference between step and solid pyramids?
A step pyramid has each layer shrunk by 2 in side length, leaving a stair-like exterior. A solid square pyramid shrinks each layer by 1, giving a smooth diagonal.
What's the formula for the sum 1 squared plus 2 squared up to n squared?
n times (n plus 1) times (2n plus 1) divided by 6. It is a classic identity and lets you skip computing each layer individually.
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