Goal.
I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much.
This time.
What is...the Gauss-Wantzel theorem? Or: Why 65537?
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Slides.
www.dtubbenhauer.com/youtube.html
Straightedge and compass construction.
en.wikipedia.org/wiki/Straigh...
math.stackexchange.com/questi...
math.stackexchange.com/questi...
Constructible polygons:
en.wikipedia.org/wiki/Constru...
en.wikipedia.org/wiki/65537-gon
oeis.org/A003401
The triangle and the square:
mathbitsnotebook.com/Geometry...
mathbitsnotebook.com/Geometry...
www.mathsisfun.com/geometry/c...
www.mathsisfun.com/geometry/c...
Fermat prime.
en.wikipedia.org/wiki/Fermat_...
The 65537gon and friends.
en.wikipedia.org/wiki/17-gon
en.wikipedia.org/wiki/257-gon
en.wikipedia.org/wiki/65537-gon
mathworld.wolfram.com/65537-g...
ja-mathe.de/stuff/GaJ/Suppleme...
en.wikipedia.org/wiki/Johann_...
Constructible number.
en.wikipedia.org/wiki/Constru...
Impossible constructions:
oeis.org/A004169
en.wikipedia.org/wiki/Straigh...
web.mst.edu/~lmhall/WhatToDoW...
Mathematica:
demonstrations.wolfram.com/Hir...
demonstrations.wolfram.com/Co...
demonstrations.wolfram.com/Con...
Some online animations:
en.wikipedia.org/wiki/Straigh...
www.mathsisfun.com/geometry/c...
Pictures used.
en.wikipedia.org/wiki/Straigh...
mathbitsnotebook.com/Geometry...
mathbitsnotebook.com/Geometry...
gdz.sub.uni-goettingen.de/id/...
KZitem and co.
• Compass Straightedge C...
• 3 Impossible Straighte...
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