4 Weird Unsolved Mysteries of Math

There are lots of unsolved mysteries in the world of math, and many of them start off with a deceptively simple premise, like: What's the biggest couch you can slide around a 90-degree corner?

Hosted by: Michael Aranda

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Sources:
Moving sofa
https://www.jstor.org/stable/2028218
https://www.jstor.org/stable/2028150?seq=1
https://www.jstor.org/stable/2977022?origin=crossref
https://link.springer.com/article/10.1007/BF02414066
https://www.popularmechanics.com/science/math/a25808/moving-sofa-problem/
https://www.math.ucdavis.edu/~romik/movingsofa/
https://www.sciencedirect.com/science/article/abs/pii/S000187081830416X

Moser’s Worm
https://www.scientificamerican.com/article/mother-worms-blanket/
https://arxiv.org/abs/1907.07351
https://link.springer.com/article/10.1007/s10998-020-00354-x
https://link.springer.com/article/10.1007/BF02187832
https://www.degruyter.com/document/doi/10.1515/advgeom-2017-0011/html
https://www.worldscientific.com/doi/abs/10.1142/S0218195913500076
https://leicester.figshare.com/articles/thesis/Lower_Bounds_Of_Areas_Of_Convex_Covers_For_Closed_Unit_Arcs/13298507/1

Lost-in-a-Forest
https://www.ams.org/journals/bull/1956-62-03/S0002-9904-1956-10021-9/home.html
https://www.jstor.org/stable/4145038?seq=1
http://www.math.buffalo.edu/~sww/0papers/million.buck.problems.mi.pdf
http://wardsattic.com/joomla/Download/BellmanForestProblem.pdf
https://www.researchgate.net/profile/Philip-Gibbs-2/publication/309479217_Lost_in_an_Isosceles_Triangle/links/5812480a08ae29942f3e7a76/Lost-in-an-Isosceles-Triangle.pdf
https://www.researchgate.net/profile/Philip-Gibbs-2/publication/309479007_Bellman%27s_Escape_Problem_for_Convex_Polygons/links/5812471908ae1f5510c2a2ae/Bellmans-Escape-Problem-for-Convex-Polygons.pdf
https://link.springer.com/content/pdf/10.1007/BF03024727.pdf
https://link.springer.com/article/10.1007/s10711-006-9107-7

Magic Squares of Squares
https://www.scientificamerican.com/article/can-you-solve-a-puzzle-unsolved-since-1996/
http://www.multimagie.com/English/SquaresOfSquares.htm
http://www.multimagie.com/English/SquaresOfSquaresSearch.htm
http://www.multimagie.com/Bremner1.pdf
https://plus.maths.org/content/os/latestnews/may-aug10/magic/index
https://link.springer.com/content/pdf/10.1007/BF03024415.pdf

Images:
https://www.istockphoto.com/photo/concept-of-an-apartment-or-living-room-that-is-too-small-to-fit-a-sofa-gm1225364117-360641211
https://www.istockphoto.com/photo/happy-couple-moving-house-gm584866806-100209225
https://www.istockphoto.com/photo/moving-house-with-a-friend-gm1137605696-303432830
https://www.istockphoto.com/photo/blackboard-inscribed-with-scientific-formulas-and-calculations-in-physics-and-gm1128197169-297628619
https://www.istockphoto.com/vector/funny-seamless-doodle-illustration-funny-worms-and-caterpillars-gm1283224821-380715787
https://www.istockphoto.com/vector/seamless-pattern-with-cute-worm-vector-illustration-kawaii-earthworm-gm1263701934-369944536
https://www.istockphoto.com/vector/bed-night-lamp-stads-top-view-semi-flat-rgb-color-vector-illustration-interior-gm1249989053-364426416
https://www.istockphoto.com/photo/traveler-gm1195521212-340782503
https://www.istockphoto.com/photo/stressed-business-man-gm518778257-49745122
https://commons.wikimedia.org/wiki/File:Barcelona_Sagrada_Familia_passion_facade_magic_square.jpg
https://commons.wikimedia.org/wiki/File:Magic_square_at_the_Parshvanatha_temple,_Khajuraho.png
https://www.istockphoto.com/vector/two-champagne-glasses-with-champagne-bottle-gm1072179032-286924424
https://www.storyblocks.com/video/stock/close-up-portrait-of-male-child-thinking-the-schoolboy-with-blue-eyes-wearing-glasses-is-conceived-looking-in-the-direction-and-meditating-on-something-in-white-background-indoor-slow-mot-scmly1ltgjejty2ck
https://www.istockphoto.com/vector/map-builder-illusrations-for-fantasy-and-medieval-cartography-and-adventure-games-gm1279356465-378000773
https://www.istockphoto.com/photo/equations-on-blackboard-gm1167968032-322305890
https://www.istockphoto.com/vector/thinking-face-gm1286870353-383242136