rbbg/hexagon-vertices at master · Munksgaard/rbbg · GitHub

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How to calculate position of vertices
=====================================

There should be the same distance from the center of the hexagon to each of the vertices in the hexagon.
If the length of one side of the hexagon is 100, the distance from the center to a vertex should be 100 too.

              B    100 (l)   C
               --------------             -|
             /|       |     / \            |
            / |     h      /   \  100      |
           /  |    87 |   /     \          |
          /   |          / 100   \         >   173 (174)
      A  /_ j_| _ _  _| /         \  D     |
         \ 50    50               /        |
          \                      /         |
           \                    /  100     |
            \                  /           |
             \                /            |
               --------------  E          -|
             F

l = length of one side
h = length from middle of one side to the center of the hexagon = sqrt(l^2 - (l/2)^2)
j = x increment from A to B (of F) = sqrt(l^2 - h^2)
A = x, y
B = A.x+j, A.y-h
C = A.x+j+l, A.y-h
D = A.x+2j+l, A.y
E = A.x+j+l, A.y+h
F = A.x+j, A.y+h