MathDB

The space is filled in the usual way with unit cubes. (Each cube is adjacent to

6

others that have a common face with it.) On three edges of one of the cubes emerging from one vertex, points are marked at a distance of

1/19

1/9

and

1/7

from it, respectively. A plane is drawn through these points. Let's consider the many different polygons formed when this plane intersects with the cubes filling the space. How many different (unequal) polygons are there in this set?

Problem Statement