The solutions to today’s puzzles

On my puzzle blog earlier today I set you the following three problems about this grid:

- A polygon is a shape where each side is made from a straight line.
*Draw**a polygon in the grid with 16 sides.*(Note: Each side of the polygon must join two dots. Lines cannot overlap. The shape must have no gaps in its outline, and each dot can be visited at most once.)

**Solution. **Here’s one shape that works.

2. *Find** the 20 squares that can be made by joining four dots.*

**Solution: **Thinking orthogonally, we get 9 1×1 squares, 4 2×2 squares, and 1 3×3.

Thinking diagonally, we get 4 at a 45 degree angle, and 2 at a 30 degree angle. Summing them up makes 20 in total.

3. *Find a way to connect all 16 points with an acute angle at every point.*

**Solution: **

*I set a puzzle here every two weeks on a Monday.** **I’m always on the look-out for great puzzles. If you would like to suggest one, email me.*

*Thanks again to Daniel Finkel for today’s puzzles.*