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A 1000 sided shape is called a Chiliagon.
Just calling it a "1000-sided shape" is fine. It is too much trouble to search for fancy name for figures with many sides.
A 1000 sided shape (through science, general guessing, and cups of tea) is called a kilogon
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.