#magicsquare — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #magicsquare, aggregated by home.social.
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Number theory was the one area of mathematics on which Pierre de Fermat (1607–65) worked throughout his life, and he found it ‘very beautiful and very subtle’.
Among other results, he said that the Polygonal Number Theorem (which asserts that every natural number is the sum of at most $n$ $n$-gonal numbers) was ‘a most beautiful and wholly general proposition […] this marvellous proposition’.
(He offered no proof of this result, but claimed to have one in a marginal note to Diophantus' Arithmetica; this was the same book in which he noted what became known as Fermat's Last Theorem.)
Fermat also seems to have counted magic squares and analogous configurations as part of number theory, and wrote that: ‘I know hardly anything more beautiful in arithmetic than these numbers that some call planetary and others magic’. (The term ‘planetary’ is derived from certain treatises linking the magic squares to planets used in talismans.)
He said he had found a rule to find magic cubes (one of his examples is in the attached image) and also determined how many different ways each such cube can be arranged, which he called ‘one of the most beautiful things in arithmetic’.
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[Each day of February, I am posting a short interesting story/image/fact/anecdote related to the aesthetics of mathematics.]
#Fermat #NumberTheory #HistMath #MathematicalBeauty #MagicSquare
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Abū’l-Wafāʾ al-Būzjānī (940–77/8 CE) wrote one of the earliest extant treatises dedicated to magic squares, focused on constructions. He repeatedly referred to the aesthetic value of the methods of he described.
For instance, he wrote about a method of constructing a magic square of order 4:
‘It is possible to arrive at the magic arrangement in this square by means of methods without displacement showing regularity and elegance [niẓām wa-tartīb ḥasan نظام وترتيب حسن]’ (trans. Sesiano)
Such a method with ‘regularity and elegance’ was: (1) place the number 1 in a corner, 2 and 3 adjacent to the opposite corner, and 4 diagonally adjacent to 1; (2) place 5 to 8 in reverse order in positions horizontally symmetrically opposite to 1 to 4; (3) place $17 − n$ diagonally two places away from $n$ for $n = 1,\ldots,8$ (see attached image).
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[Each day of February, I am posting a short interesting story/image/fact/anecdote related to the aesthetics of mathematics.]
#MagicSquare #HistMath #MathematicalElegance #elegance #aesthetics
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🎉 Exciting news for Watchit! 🎉
We’re thrilled to share that Watchit has been featured in the "Upcoming" section on Magic Square’s platform! 🚀✨ This is a big milestone in our journey to create a space where creators can connect directly with their audience and monetize their content fairly and transparently.
Check out our project here and start following: https://magicsquare.io/store/app/watchit
A huge thank you to everyone for your support—this is just the beginning! 💪
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Haven't taken pictures at my window in a while, so here's Peach Girl (Arcee) enjoying the summer morning!
#3rdPartyTransformers #Transformers #MagicSquare #MSG01PeachGirl #PeachGirl #Arcee #ToyPhotography
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Binance-backed Magic Square IDO platform to democratize retail investor access - IDO launchpads are becoming a popular way to raise funds for projects, w... - https://cointelegraph.com/news/magic-square-ido-platform-democratizes-retail-access #decentralizedexchange #community-driven #binance-backed #web3investors #web3protocols #crowdfunding #retailaccess #magicsquare #idoplatform #fundraising #investment #sqrtokens #protocol
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67 1 43
13 37 61
31 73 7
is the smallest #MagicSquare composed of #primes .
I notice a few #Heegner numbers in there. Wouldn't it be fun if just the Heegner numbers could form a magic square.
#maths #primenumber #primenumbers -
Combaticons Alt modes. #transformers #transformerscollection #g1 #combaticons #magicsquare #altmode #legendscale #sonscollection #toys #toysaremysoul #toysaremylife #toysphotography #toyscollector #toysaremydrug #toys4life #toyphotography #toycollector #actionfigures #actionfigureaddict #actionfigurecollection #actionfigurephotography #figurephotography #figurecollection #collectionphotography #collection #collector
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Combaticons Alt modes. #transformers #transformerscollection #g1 #combaticons #magicsquare #altmode #legendscale #sonscollection #toys #toysaremysoul #toysaremylife #toysphotography #toyscollector #toysaremydrug #toys4life #toyphotography #toycollector #actionfigures #actionfigureaddict #actionfigurecollection #actionfigurephotography #figurephotography #figurecollection #collectionphotography #collection #collector
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Teams coming together nicely. #transformers #transformerscollection #g1 #combaticons #magicsquare #legendscale #sonscollection #toys #toysaremysoul #toystagram #toysaremylife #toysphotography #toyscollector #toysaremydrug #toys4life #toyphotography #toycollector #actionfigures #actionfigureaddict #actionfigurecollection #actionfigurephotography #figurephotography #figurecollection #collectionphotography #collection
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Arrival from @showzstore today. Magic Square Tornado aka G1 Vortex, little guy is solid, poses nicely and definitely looks the part. Don't know why they didn't use a ball joint for the neck like the rest of the team so he's missing up and down for head articulation? #transformers #transformerscollection #g1 #vortex #magicsquare #tornado #legendscale #sonscollection #toys #toysaremysoul #toysaremylife #toysphotography #toyscollector #toysaremydrug
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Arrival from @showzstore today. Magic Square Tornado aka G1 Vortex, little guy is solid, poses nicely and definitely looks the part. Don't know why they didn't use a ball joint for the neck like the rest of the team so he's missing up and down for head articulation? #transformers #transformerscollection #g1 #vortex #magicsquare #tornado #legendscale #sonscollection #toys #toysaremysoul #toysaremylife #toysphotography #toyscollector #toysaremydrug
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Arrival from @showzstore today. Magic Square Tornado aka G1 Vortex, little guy is solid, poses nicely and definitely looks the part. Don't know why they didn't use a ball joint for the neck like the rest of the team so he's missing up and down for head articulation? #transformers #transformerscollection #g1 #vortex #magicsquare #tornado #legendscale #sonscollection #toys #toysaremysoul #toysaremylife #toysphotography #toyscollector #toysaremydrug
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Arrival from @showzstore today. Magic Square Tornado aka G1 Vortex, little guy is solid, poses nicely and definitely looks the part. Don't know why they didn't use a ball joint for the neck like the rest of the team so he's missing up and down for head articulation? #transformers #transformerscollection #g1 #vortex #magicsquare #tornado #legendscale #sonscollection #toys #toysaremysoul #toysaremylife #toysphotography #toyscollector #toysaremydrug
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Now they're brothers in arms. And wings.
#Transformers #Jetfire #MagicSquare #NewAge #Deskbot #ToyPhotography #NoJokesThisTime
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GIIIIIIIIRL! Those jets are on fiiiiire!
(NewAge Firebird toy colours and Magic Square Meteor)
#Transformers #Jetfire #MagicSquare #NewAge #DeskBot #ToyPhotography #BadLyricReuse
