Re: [math-fun] Scalenicity?
17 Sep
2011
17 Sep
'11
3:13 a.m.
From: Fred lunnon On 9/16/11, Stanley Rabinowitz wrote:
...
What does it mean to be "very scalene"?
Of all triangles, which one is the most scalene (whatever that means)?
One possible definition of "most scalene": The triangle which is worst at covering its own mirror image. Let A(T) be the maximum possible area of intersection of a triangle T of area 1 and its mirror image T' (also of area 1) in the Euclidean plane. For which T is A(T) minimised?
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William Rex Marshall