Sequence of Triplets of Primitive Pythagorean Triangles with Same Area/Historical Note
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Historical Note on Sequence of Triplets of Primitive Pythagorean Triangles with Same Area
The first of these sets of $3$, with area $13 \, 123 \, 110$, was reported by Martin Gardner as having been discovered by Charles L. Shedd in $1945$.
The following $3$ sets of $3$ were discovered by Randall L. Rathbun in $1986$.
The $5$th set of $3$ was discovered by Dan Hoey and Randall L. Rathbun in $1990$.
The $6$th set of $3$ was discovered by Duncan Moore using an exhaustive computer search over areas, and reported in The Math Forum on the $2$nd of March, $2017$. The search took roughly $35$ GHz-days.
Sources
- Mar. 1992: Randall L. Rathbun: Letters (Amer. Math. Monthly Vol. 99, no. 3: pp. 282 – 284) www.jstor.org/stable/2325079