More Numbers in the Ring


With 3 squares, not possible to make odd difference as need alternate odd/even around circle.
Can make even difference by all odd numbers or all even numbers.

When there are an odd number of squares in the ring, making an odd difference is impossible.
When there are an even number of squares in the ring, making an odd difference is possible by having alternate odd/even numbers round ring.
The sum of adjacent squares is always odd.

It is always possible to make an even difference as long as the numbers are all odd or all even.
The sum of adjacent pairs is always even.