**EMT 725**

**Philippa M. Rhodes**

Design a plug that you can push completely through all three holes without leaving any gaps. The plug cannot be flexible or mutated in any way in moving from one hole to another.

With the assumption that the length of the sides of the equilateral triangle equals the length of the sides of the square equals the diameter of the circle, a paper plug can be designed as follows:

Cut out each figure. Cut slits in the square and the triangle so that the square intersects the triangle at an altitude from one of the angles.

Side view

Top viewNow, place the center of the circle at the point of intersection (on the top view) of the base of the triangle and the side of the square.

Top view

So, when the plug is pushed through the triangle, it will look as follows:

For the square:

Lastly, for the circle: