A hexagon has ten distinct diagonals.
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A circle (in 2-dimensions and a sphere in 3-d. And the word is vertices, not verticals!
pentagon
The hendecahedra has 5 verticals, 8 edges, and 5 faces.
Either no verticals or two verticals and two horizontals.
Verticals are corners so in a two dimensional a square has 4 verticals