Packing Squares with Triangles

number of triangles

1

2

3

4

5

6

7

8

9

10

What is the smallest square that contains

n

equilateral triangles of side length 1? This Demonstration shows the first ten best packings found so far. The first eight were found by Erich Friedman in 1996, the case with nine triangles by Maurizio Morandi in 2008, and the case with ten triangles by David Cantrell in 2002.

Details

Erich's Packing Center

External Links

Triangle Packing (Wolfram MathWorld)

Permanent Citation

Jaime Rangel-Mondragon

"Packing Squares with Triangles"
http://demonstrations.wolfram.com/PackingSquaresWithTriangles/
Wolfram Demonstrations Project
Published: July 27, 2009