- The Geometry Center cut out each triangular panel from a 32x40 inch rectangular pieces of foamboard. Three possible ways to cut the triangle are shown in Figure 2. What is the maximum edge length of each triangle? Does your answer change if we also want to reduce the amount of cutting that we are required to do?
- How many pieces of 32x40 inch foamboard do you need to buy in order to cut out 20 equilateral triangles if the edge length is 9 inches? 12 inches? 18 inches? A few ways to arrange equilateral triangles on a rectangle are given in Figure 3.

You will also need an X-acto knife ($2-$5), a one-hole paper punch, and "twist ties" (e.g., those used to close kitchen garbage bags). Hardware stores often have packs of 100 ties for about $1. You may also want materials for coloring; we used assorted magic markers. A yardstick, meterstick, or some other straightedge is also useful.

Author: Frederick J. Wicklin <fjw@geom.umn.edu>

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Created: Summer 1994 ---
Last modified: Jul 21 1996

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