This problem was inspired by Charlie's
"Continental Pole of Inaccessibility" problem.
An irregular two dimensional shape is depicted below. Using the unit markings find the following:
1. The "center of mass" for the shape.
2. The point on the shape that lies furthest from the edge.
8 +---+---+---+ +---+---+
| | | |
7+---+ +---+ +---+
| |
6+ +
| |
5+ +---+
| |
4+ +---+
| |
3+ +---+
| |
2+ +---+
| |
1+ +---+---+
| |
0+---+---+---+---+---+---+
0 1 2 3 4 5 6 7 8