Calculate coordinates of a regular polygon's vertices

Question

I am writing a program in which I need to draw polygons of an arbitrary number of sides, each one being translated by a given formula which changes dynamically. There is som

Answer 1

Say the distance of the vertices to the origin is 1. And say (1, 0) is always a coordinate of the polygon.

Given the number of vertices (say n), the rotation angle required to position the (1, 0) to the next coordinate would be (360/n).

The computation required here is to rotate the coordinates. Here is what it is; Rotation Matrix.

Say theta = 360/n;

[cos(theta) -sin(theta)]
[sin(theta) cos(theta)]

would be your rotation matrix.

If you know linear algebra you already know what i mean. If dont just have a look at Matrix Multiplication