"dissection" is interesting as well, but I meant "construction" thx, zak
Воскресенье, 31 июля 2016, 0:21 +03:00 от Bill Gosper <billgosper@gmail.com>:
Maybe zak means dissect an arbitrary rectangle into a square, but that's just dissect a rectangle to a square < https://www.google.com/search?client=safari&rls=en&q=dissect+a+rectangle+to+... > Or you could do it to right triangles separately in two steps:: gosper.org/A=f(bh).gif (First create some triangle with side √2.) --rwg
On 2016-07-30 09:04, James Propp wrote:
If you mean construct-with-compass-and-straightedge, see for instance
http://planetmath.org/compassandstraightedgeconstructionofgeometricmean
Jim Propp
On Saturday, July 30, 2016, Zak Seidov < math-fun@mailman.xmission.com > wrote:
Square-to-Rectangle construction problem is trivial. But what about Rectangle-to-Square construction problem? There are some trivial cases, e.g., if a<b are side lengths such that a*b is a square: (a,b)=(6, 24), (a,b)=(6, 54), etc. But what about general case of any rectangle? zak
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