#recreationalmathematics — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #recreationalmathematics, aggregated by home.social.
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Or maybe better this tauspider!
#tau
#Mathematics
#mathart
#RecreationalMathematics -
I have made a symbol to represent 𝛕 (=2π), it is a scheme of how a circle opens and straightens. In the second figure more steps are added, the curve defined by the endpoints is a cochleoid. Finally the third figure shows a tau spider.
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UPDATE: My program found a new personal best most delayed palindromic number!
The 25-digit number 1102320000659911613429286 takes 235 iterations before it becomes a 123-digit palindrome.
This beats a former world record set in 2003 by Jason Doucette involving 233 iterations (source: https://jasondoucette.com/worldrecords.html#Most), and is 58 iterations off from the current world record of 293.
#Math #LychrelNumber #MostDelayedPalindromicNumber #Mathematics #RecMath #RecreationalMathematics
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CW: My new prime number discoveries
((10^n)-1)*(2/3)-53, a formula resulting in rows of n number of sixes with the last two sixes replaced with the number 13, result in primes for n = 2, 3, 7, 12, 30, 97, 192, 265, 327, 417, 475, 574, 595, 699, 9563, and 9601. :MOULE_Happy:
Update: It's ran for 10 days and hasn't found any other new primes below n = 37000. Stopping the program now!
#Math #Mathematics #PrimeNumbers #RecreationalMath #RecMath #RecreationalMathematics #Primes
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Update: New record! After appending random digit after random digit for two days, it eventually found this 31689-digit prime. It's larger than the 148091th number in the Fibonacci sequence, which is also prime.
The tiny white digits on the black background look like TV static when zoomed out!
#Math #Mathematics #PrimeNumbers #Primes #RecreationalMathematics #RecMath
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Update: overnight it found a 17828-digit prime number, a new personal best!
I can see why most primes found are found with easy-to-write formulae like (2^p)-1 or (k^2^n)+1. Ttrying to go backwards – coming up with a compact formula to represent a really huge prime made up of random digits like this one, is really tricky.
#Math #Mathematics #PrimeNumbers #Primes #RecreationalMathematics #RecMath
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Just for fun, I wrote a Python program to start with a random decimal digit, and keep adding the decimal digit until it reaches a prime number.
I'm excited to share it's found a 10997-digit long prime number, which is my new personal best largest prime! It's larger than the 37th factorial prime (3507!-1) which is 10912 digits.
I'll leave the program running overnight to see if it can find longer ones! :MOULE_Happy:
#Math #Mathematics #PrimeNumbers #Primes #RecreationalMathematics #RecMath
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@Ian_G_Simpson Wait, WHAT?! A *published* *polyiamond* puzzle in 19-TWENTY-TWO?! Holy crap! Does the recreational #math community know about this? I feel like I should have heard about this decades ago!
#maths #RecreationalMathematics -
TIL there is #RecreationalMathematics, and D. R. Kaprekar was a "recreational mathematician".
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Update #3: Big update! I've gone through a huge chunk of my bookmarks and added 116 links to #math-themed resources to my site's links page, mostly sites I've bookmarked while engaging with my current hyperfixation around #PrimeNumbers.
If you're interested in #Googology, #Primes, #DistributedComputing searches for prime numbers, #Factoring, #PrimalityProving, or #RecreationalMathematics, check these out!
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Update #3: Big update! I've gone through a huge chunk of my bookmarks and added 116 links to #math-themed resources to my site's links page, mostly sites I've bookmarked while engaging with my current hyperfixation around #PrimeNumbers.
If you're interested in #Googology, #Primes, #DistributedComputing searches for prime numbers, #Factoring, #PrimalityProving, or #RecreationalMathematics, check these out!
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Update #3: Big update! I've gone through a huge chunk of my bookmarks and added 116 links to #math-themed resources to my site's links page, mostly sites I've bookmarked while engaging with my current hyperfixation around #PrimeNumbers.
If you're interested in #Googology, #Primes, #DistributedComputing searches for prime numbers, #Factoring, #PrimalityProving, or #RecreationalMathematics, check these out!
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Update #3: Big update! I've gone through a huge chunk of my bookmarks and added 116 links to #math-themed resources to my site's links page, mostly sites I've bookmarked while engaging with my current hyperfixation around #PrimeNumbers.
If you're interested in #Googology, #Primes, #DistributedComputing searches for prime numbers, #Factoring, #PrimalityProving, or #RecreationalMathematics, check these out!
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Update #3: Big update! I've gone through a huge chunk of my bookmarks and added 116 links to #math-themed resources to my site's links page, mostly sites I've bookmarked while engaging with my current hyperfixation around #PrimeNumbers.
If you're interested in #Googology, #Primes, #DistributedComputing searches for prime numbers, #Factoring, #PrimalityProving, or #RecreationalMathematics, check these out!
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"Beetle Escape" from Haoran Chen at #G4G: https://www.youtube.com/watch?v=rdjsGt0byOE
Beetles occupy an infinite quarter-plane grid, except for a triangle at the origin. If they can make horizontal and vertical checkers-style jumps (with the jumped-over beetle removed), how large of a triangle permits one beetle to escape to the origin?
The talk shows that escape is impossible for a diagonal of length 7 or more (using Conway's invariant argument for his soldier probem), but 56 beetles can create an escape for n=6.
Is this the best possible? When it is possible for two or more beetles to escape? What about other shapes cut from the half-plane? Lots of good #RecreationalMathematics here.
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Child's (12) maths teacher gave them the "2024 Challenge" - which is the Four Fours challenge (https://en.wikipedia.org/wiki/Four_fours) with the digits 2, 0, 2 & 4.
Of course I had to give it a go. I tried to keep the digits in that order, red formulae are where I failed.
Any corrections or improvements welcome!
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About to spend an afternoon on the Union Closed Sets Conjecture.
Anyone else?
#math #RecreationalMathematics #unionclosed #unionclosedconjecture
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The #Distance Between #Numbers - #Numberphile
https://www.youtube.com/watch?v=Sgupo9DLMGs&ab_channel=Numberphile
#Math #Maths #Mathematics #Numbers #2Adic #2AdicMetric #RationalNumbers #RealNumbers #Limit #Infinity #Converge #Convergence #Diverge #Divergence #RecreationalMaths #RecreationalMathematics #Axiom #Axioms #Axiomatic
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The #Distance Between #Numbers - #Numberphile
https://www.youtube.com/watch?v=Sgupo9DLMGs&ab_channel=Numberphile
#Math #Maths #Mathematics #Numbers #2Adic #2AdicMetric #RationalNumbers #RealNumbers #Limit #Infinity #Converge #Convergence #Diverge #Divergence #RecreationalMaths #RecreationalMathematics #Axiom #Axioms #Axiomatic
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The #Distance Between #Numbers - #Numberphile
https://www.youtube.com/watch?v=Sgupo9DLMGs&ab_channel=Numberphile
#Math #Maths #Mathematics #Numbers #2Adic #2AdicMetric #RationalNumbers #RealNumbers #Limit #Infinity #Converge #Convergence #Diverge #Divergence #RecreationalMaths #RecreationalMathematics #Axiom #Axioms #Axiomatic
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The #Distance Between #Numbers - #Numberphile
https://www.youtube.com/watch?v=Sgupo9DLMGs&ab_channel=Numberphile
#Math #Maths #Mathematics #Numbers #2Adic #2AdicMetric #RationalNumbers #RealNumbers #Limit #Infinity #Converge #Convergence #Diverge #Divergence #RecreationalMaths #RecreationalMathematics #Axiom #Axioms #Axiomatic
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The #Distance Between #Numbers - #Numberphile
https://www.youtube.com/watch?v=Sgupo9DLMGs&ab_channel=Numberphile
#Math #Maths #Mathematics #Numbers #2Adic #2AdicMetric #RationalNumbers #RealNumbers #Limit #Infinity #Converge #Convergence #Diverge #Divergence #RecreationalMaths #RecreationalMathematics #Axiom #Axioms #Axiomatic