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Posts tagged #Combinatorics

So there are 63 Bedlam siblings. They all have different numbers of solutions. The original puzzle has 19186 solutions. Its siblings range from 16457 to 30613 solutions.
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#puzzles #combinatorics #block-packing

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The Bedlam Cube has 7 chiral pieces. (Chiral = no plane of mirror symmetry.) Reflecting the whole set would, of course, have the same set of solutions (mirrored). But reflecting only some of them results in a whole new puzzle.
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#puzzles #combinatorics #block-packing

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…and if you watch one thing this Pi Day, make it our team member Marcus introducing his research in tiling enumeration

👇👇👇 🇬🇧🇬🇧🇬🇧👇👇👇

#tilingenumeration #combinatorics #mathematics #piday

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It's well known that Sudoku can be written as an Exact Cover problem. But upon browsing Sudoku's lesser-known siblings here: www.nikoli.co.jp/en/puzzles/ it strikes me that many (most?, all?) are also equivalent to Exact Cover. Anyone done a comprehensive study?
#puzzles #sudoku #combinatorics

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Claude Solved What Knuth Couldn’t And that is the sort of sentence that makes the entire software world sit upright, spill its coffee, and quietly reconsider a few life choices.

Donald Knuth spent weeks on a hard combinatorics problem. Claude Opus 4.6 worked on it for about an hour and found a construction that works for all odd cases.

That is a very different sentence from “AI helps with homework.”

Post: go.abvx.xyz/mtvlwd

#AI #Math #Claude #Combinatorics

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--- squeaks, getting too tired to finish the joke properly

===

"""
and my jokes all landed where they were supposed to... nowhere
"""
--- me, finally understanding why derangement notation uses factorials

#physics #combinatorics #mathematics

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In 2013, Gil Kalia presented 20 open problems at the Erdős Centennial conference in Budapest. He also posted the problems on his blog. Recently,... 1/2
#mathematics #math #geometry #combinatorics #problems
The Problems:https://buff.ly/kphzn47

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Official TEST BANK Solutions Manual For Applied Combinatorics 6th Edition By Alan Tucker
#SolutionsManualForAppliedCombinatorics #6thedition #Combinatorics #AppliedCombinatorics #hackedexams

www.hackedexams.com/item/93015/o...

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Top left - the 7 soma cube pieces with a bottle and cap nearby and 6 inch ruler in the background
Top right - the 7 soma cube pieces arranged into a cube with a bottle and cap nearby and 6 inch ruler in the background
Bottom left - the 7 soma cube pieces arranged into a little four legged animal resting on four legs, long neck. with a bottle and cap nearby 
and 6 inch ruler in the background
Bottom right - the 7 soma cube pieces in a bottle with cap screwed on. 6 inch ruler in the background

Top left - the 7 soma cube pieces with a bottle and cap nearby and 6 inch ruler in the background Top right - the 7 soma cube pieces arranged into a cube with a bottle and cap nearby and 6 inch ruler in the background Bottom left - the 7 soma cube pieces arranged into a little four legged animal resting on four legs, long neck. with a bottle and cap nearby and 6 inch ruler in the background Bottom right - the 7 soma cube pieces in a bottle with cap screwed on. 6 inch ruler in the background

Teeny Tiny Soma Cube in a bottle. 6mm unit cube. 7 color version is on the way from a 3D printer in Winnipeg.

80 of them for about $1USD each. I'm so overwhelmed by the teeny tininess and affordability I can barely sit still in my chair.
#puzzle #cute #mathart #SomaCube #combinatorics #GraphTheory

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Portrait of Nishu Kumari, postdoc researcher at the University of Vienna. She has black hair, wears glasses and a red patterned blouse, and sits under a tree against the backdrop of an entrance to a building. The image includes the Her Maths Story logo and her name and title.

Portrait of Nishu Kumari, postdoc researcher at the University of Vienna. She has black hair, wears glasses and a red patterned blouse, and sits under a tree against the backdrop of an entrance to a building. The image includes the Her Maths Story logo and her name and title.

“I feel that many women (…), might not know what (…) a career in maths actually means (…). I believe it is important to tell them that this is an option.” - Nishu Kumari

➡️https://hermathsstory.eu/nishu-kumari/

#HerMathsStory #Academia #Combinatorics #Europe #Postdoc @randomstructures.bsky.social

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The Condorcet Paradox is a rank-choice voting analog to nontransitive dice.
#mathematics #math #combinatorics
Source:https://buff.ly/W47n2Ri

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#mathematics #math #combinatorics #interview
Source:https://buff.ly/sWtpE7g

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APL Quest 2014-6: Roll The Dice Write a function that takes an integer vector representing the sides of a number of dice and returns a 2 column matrix of the number of ways each possible total of the dice can be rolled.

#APLQuest 2014-06: Write a function that takes an integer vector representing the sides of a number of dice and returns a 2 column matrix of the number of ways each possible total of the dice can be rolled (see apl.quest/2014/6/ to test your solution and view ours). #APL #Probability #Combinatorics

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A roundup of recent results int combinatorics.
#mathematics #math #combinatorics
Source:https://buff.ly/YWqO5tT

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30th PCC 2026 30th Postgraduate Combinatorial Conference. PCC 2026.

The 30th Postgraduate Combinatorial Conference will be at University of Warwick, 15-17 April 2026. A fantastic (almost vital!) conference if you are a PhD student working on combinatorics in the UK. See the conference website at wozmit.github.io/pcc-2026/ for details. #combinatorics

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Bell numbers, the number of ways to partition a set of labeled elements janmr.com/posts/bell-n... #math #combinatorics #bell #numbers

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Top - 8x8 tiling of colorful plastic pentominoes
Bottom - 6x10 tiling of same pentominoes

Top - 8x8 tiling of colorful plastic pentominoes Bottom - 6x10 tiling of same pentominoes

Christmas family party - Got to share my pentomino tiling theory with my almost has a math degree but is is going to be an ME niece. Build an 8x8 first which is easy and use it to inform the tiling of the much more difficult 6x10.

Also played Genius Square and Chess
#puzzles #combinatorics

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Lambert's W function, also called product logarithm, is defined as the inverse of the function f(x)=x e^x. It's a multivalued complex function that can't be expressed in terms of elementary functions. It's useful in #combinatorics and #biochemistry.

#MathType #math #mathfacts

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Traversing regions of supersolvable hyperplane arrangements and their lattice quotients | Vidéo | Carmin.tv

🆕🎬Beyond Permutahedra and Associahedra
Mütze, Torsten (2025). Traversing regions of supersolvable hyperplane arrangements and their lattice quotients. CIRM. Audiovisual resource
dx.doi.org/10.24350/CIR...
library.cirm-math.fr/Record.htm?i...
@cirm-math.bsky.social #Maths #combinatorics #lecture

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🆕🎬Beyond Permutahedra and Associahedra
Yip, Martha (2025). A minicourse on permutation flows. CIRM. Audiovisual resource. dx.doi.org/10.24350/CIR...
library.cirm-math.fr/Record.htm?i...
@cirm-math.bsky.social #Maths #combinatorics #lecture

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🆕🎬Beyond Permutahedra and Associahedra
Stump, Christian (2025). Extending the ab-index for braid and reflection arrangements. CIRM. Audiovisual resource. dx.doi.org/10.24350/CIR...
library.cirm-math.fr/Record.htm?i...
@cirm-math.bsky.social #Maths #combinatorics #lecture

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🆕🎬Beyond Permutahedra and Associahedra
Reading, Nathan (2025). Lattice congruences for combinatorialists. CIRM. Audiovisual resource. dx.doi.org/10.24350/CIR...
library.cirm-math.fr/Record.htm?i...
@cirm-math.bsky.social #Maths #combinatorics #lecture

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🆕🎬Beyond Permutahedra and Associahedra
Delcroix-Oger, Bérénice (2025). Orders and shuffles on nestohedra. CIRM. Audiovisual resource. dx.doi.org/10.24350/CIR...
library.cirm-math.fr/Record.htm?i...
@cirm-math.bsky.social #Maths #combinatorics #lecture

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🆕🎬Beyond Permutahedra and Associahedra
Watch the talks of Bérénice Delcroix-Oger, Nathan Reading, Christian Stump & Martha Yip in the Audiovisual Mathematics Library & carmin.tv @cirm-math.bsky.social #Maths #combinatorics
www.carmin.tv/en/c/1710
library.cirm-math.fr/ListRecord.h...

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Every position of Rubik's Cube can be solved in twenty moves or less www.cube20.org #math #combinatorics #rubikscube

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Langford pairs: Arrange the 2n numbers {1, 1, 2, 2, ..., n, n} such that exactly k numbers occur between the two appearances of each digit k dialectrix.com/langford.html #math #combinatorics

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Twelve Ways of Counting janmr.com/posts/twelve... #math #combinatorics

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🆕🎬 XVIII International Workshop in Set Theory
Vidnyanszky, Zoltan (2025). Two complexity results. CIRM. Audiovisual resource. dx.doi.org/10.24350/CIR...
library.cirm-math.fr/Record.htm?i...
@cirm-math.bsky.social #Maths #conference #logic #combinatorics

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🆕🎬 XVIII International Workshop in Set Theory
Dobrinen, Natasha (2025). Big Ramsey degrees and forcing. CIRM. Audiovisual resource
dx.doi.org/10.24350/CIR...
library.cirm-math.fr/Record.htm?i...
@cirm-math.bsky.social #Maths #conference #logic #combinatorics

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