Freese's Dissection of Four Equilateral Triangles into One

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This Demonstration shows Ernest Freese's dissection of four equilateral triangles to one equilateral triangle. The sides of the four smaller triangles are in the ratio 1:3:5:7. Carry out the five rotation and translation operations in any order.
Contributed by: Izidor Hafner (June 2016)
Open content licensed under CC BY-NC-SA
Snapshots
Details
The photograph is taken from [1, p. 48].
Reference
[1] G. N. Frederickson, Piano-Hinged Dissections, Wellesley, MA: A. K. Peters, Ltd, 2006.
Permanent Citation
"Freese's Dissection of Four Equilateral Triangles into One"
http://demonstrations.wolfram.com/FreesesDissectionOfFourEquilateralTrianglesIntoOne/
Wolfram Demonstrations Project
Published: June 29 2016