If you draw a flat sided shape and draw a line between each point. A triangle has 3 lines. A square has 6 lines. A pentagon has 10 lines. Think of the corners as people and the lines as comparing birthdays. The comparisons grow exponentially with the people just like the lines grow exponentially with the corners of a shape.
A 23 sided shape has a LOT of lines. But there’s only 365 possible birthdays.
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