Gerwien's Simultaneous Dissection of Three Triangles of Same Area

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With , the triangles , and are each dissected into translations or translations after a half-turn of the same four parts.

Contributed by: Izidor Hafner (March 2017)
Open content licensed under CC BY-NC-SA


Snapshots


Details

This is a simpler version by Fourrey [2, 158–159]. The original has four triangles [Figure 1 from original plate].

References

[1] P. Gerwien, "Zerschneidung jeder beliebigen Anzahl von gleichen geradlinigen Figuren in dieselben Stücke," Journal für die reine und angewandte Mathematik (Crelle's Journal) 10, pp. 228–234, and Taf. 3, 1833. gdz.sub.uni-goettingen.de/dms/load/img/?PID=GDZPPN002139170.

[2] G. Frederickson, Dissections: Plane & Fancy, New York: Cambridge University Press, 1996.



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