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There are: 0.5*(10002-3000) = 498,500 diagonals
The name for a 57 sided shape is derived by combining the name for a 50 sided shape with the name for a 7 sided shape. A 57 sided shape is called a pentacontaheptagon.
A 999 sided shape is simply known as a 999 sided shape.
A nonagon is a nine sided shape.
A 26 sided shape is called a icosikaihexagon