MathDB

Point-like figures are placed in the vertices of a regular

k

-angle, and then we walk with them. In one step, a piece jumps over another piece, i.e. its new location will be a mirror image of its current location to the current location of another piece. In the case of

k \geq 3

integers, it is possible to achieve with a series of such steps that the puppets form the vertices of a regular

k

-angle, different in size from the original?

Problem Statement