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▲Proofs Without Wordsartofproblemsolving.com
38 points by squircle 4 days ago | 10 comments
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cuber_messenger 1 hours ago [-]
There's a book called "Proofs without words". Fun to have a glance. (https://ia801405.us.archive.org/24/items/proofs-without-word...) It also has a sequel.
fiforpg 5 hours ago [-]
Nice. There's an entire book like this for geometric statements. Every picture is a fact, proofs are supplied by the reader:

https://users.mccme.ru/akopyan/papers/EnGeoFigures.pdf

Caution: proofs of some of the statements in it are difficult.

JadeNB 4 hours ago [-]
I think that is rather different. The traditional meaning of "proofs without words" is that the picture is the proof, or at least, if you believe that a proof can only be in words, that the picture should convey the idea so transparently that anyone with reasonable mathematical skill can routinely translate it into words.
ViscountPenguin 2 hours ago [-]
I've never really been a fan of proofs without words; they've always felt way too slippery to me, for lack of a better term. A well worded proof with nice explanatory diagrams hits the spot for me instead.
paufernandez 16 minutes ago [-]
I'm the opposite. I am not convinced until I "see it". Probably has to do with our innate talents.
vismit2000 4 hours ago [-]
There is also this youtube channel called 'Mathematical Visual Proofs' on similar theme: https://www.youtube.com/@MathVisualProofs
downboots 4 hours ago [-]
Another great site is https://theoremoftheday.org/ with a neat one-pager overview of each theorem
jupitr 2 hours ago [-]
and also how to lie with visual proofs: https://www.youtube.com/watch?v=VYQVlVoWoPY
vonnik 5 hours ago [-]
Anyone who enjoys this should read David Bessis’s Mathematica.
brianberns 5 hours ago [-]
I made a game out of creating proofs without words: https://brianberns.github.io/Tactix/