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132 entries

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• The Vampire Diary
  • Published in 2025
  • Added on 2025-06-18
• Danceability, A New Definition of Bridge Index
  • Published in 2024
  • Added on 2025-01-07
• Street-Fighting Mathematics
  • Published in 2010
  • Added on 2024-12-07
• Counterexamples To a Theorem of Cauchy
  • Published in 1968
  • Added on 2024-10-09
• Normal Numbers are Normal
  • Published in 2006
  • Added on 2024-07-11
• Squigonometry: The Study of Imperfect Circles
  • Published in 2022
  • Added on 2024-04-10
• The Flower Calculus
  • Published in 2024
  • Added on 2024-03-11
• Sorry, the nilpotents are in the center
  • Published in 2018
  • Added on 2023-11-17
• Dubious Identities: A Visit to the Borwein Zoo
  • Published in 2023
  • Added on 2023-10-09
• Conway and Doyle Can Divide by Three, But I Can't
  • Published in 2023
  • Added on 2023-09-29
• A sign that used to annoy me, and still does
  • Published in 2023
  • Added on 2023-08-14
• Strange Expectations and the Winnie-the-Pooh Problem
  • Published in 2018
  • Added on 2022-08-22
• Stuttering look and say sequences and a challenger to Conway's most complicated algebraic number from the silliest source
  • Published in 2022
  • Added on 2022-07-08
• Who's Afraid of Mathematical Diagrams?
  • Added on 2022-05-13
• A note on the Screaming Toes game
  • Published in 2020
  • Added on 2022-04-24
• Descending Dungeons and Iterated Base-Changing
  • Published in 2006
  • Added on 2022-02-28
• Less Mundane Applications of the Most Mundane Functions
  • Published in 2022
  • Added on 2022-02-16
• How Not to Compute a Fourier Transform
  • Published in 2020
  • Added on 2021-11-20
• Yet another Proof of an old Hat
  • Published in 2021
  • Added on 2021-11-20
• Ouroboros Functionals, Families of Ouroboros Functions, and Their Relationship to Partial Differential Equations and Probability Theory
  • Published in 2021
  • Added on 2021-08-29
• Fruit Diophantine Equation
  • Published in 2021
  • Added on 2021-08-29
• Skateboard Tricks and Topological Flips
  • Published in 2021
  • Added on 2021-08-29
• Real Analysis in Reverse
  • Published in 2012
  • Added on 2021-06-07
• Every Salami has two ends
  • Published in 2021
  • Added on 2021-05-26
• The fluid mechanics of poohsticks
  • Published in 2021
  • Added on 2021-04-20
• Three friendly walkers
  • Published in 2016
  • Added on 2021-03-22
• The Amazing $3^n$ Theorem and its even more Amazing Proof [Discovered by Xavier G. Viennot and his École Bordelaise gang]
  • Published in 2012
  • Added on 2021-03-15
• Graphs, friends and acquaintances
  • Published in 2016
  • Added on 2020-11-25
• Big fields that are not large
  • Published in 2020
  • Added on 2020-11-17
• On the Dreaded Right Bousfield Localization
  • Published in 2007
  • Added on 2020-10-16
• World's shortest explanation of Gödel's theorem
  • Published in 2009
  • Added on 2020-10-16
• Fertility Numbers
  • Published in 2018
  • Added on 2020-10-16
• A Midsummer Knot's Dream
  • Published in 2010
  • Added on 2020-09-21
• A minus sign that used to annoy me but now I know why it is there
  • Published in 2010
  • Added on 2020-09-21
• You Could Have Invented Spectral Sequences
  • Published in 2006
  • Added on 2020-09-21
• Mangoes and Blueberries
  • Published in 1999
  • Added on 2020-09-21
• Parking Functions: Choose Your Own Adventure
  • Published in 2020
  • Added on 2020-09-21
• There are not Exactly Five Objects
  • Published in 1984
  • Added on 2020-09-21
• Astonishing Numbers
  • Published in 2001
  • Added on 2020-08-28
• An Optimal Solution for the Muffin Problem
  • Published in 2019
  • Added on 2020-08-17
• Goldbug Variations
  • Published in 2005
  • Added on 2020-06-12
• 38406501359372282063949 & all that: Monodromy of Fano Problems
  • Published in 2020
  • Added on 2020-05-06
• Shadow movies not arising from knots
  • Published in 2011
  • Added on 2020-04-21
• Four Pages Are Indeed Necessary for Planar Graphs
  • Published in 2020
  • Added on 2020-04-19
• How long is my toilet roll? – a simple exercise in mathematical modelling
  • Published in 2013
  • Added on 2020-04-09
• The Graph Menagerie: Abstract Algebra and the Mad Veterinarian
  • Published in 2011
  • Added on 2019-11-06
• Catching a mouse on a tree
  • Published in 2015
  • Added on 2019-10-08
• How to Hunt an Invisible Rabbit on a Graph
  • Published in 2015
  • Added on 2019-10-08
• Percolation is Odd
  • Published in 2019
  • Added on 2019-09-14
• A Contribution to the Mathematical Theory of Big Game Hunting
  • Published in 1938
  • Added on 2019-05-09
• The Swiss-Cheese Operad
  • Published in 1998
  • Added on 2019-05-09
• The Sensual (quadratic) Form
  • Published in 1997
  • Added on 2019-05-09
• Brazilian Primes Which Are Also Sophie Germain Primes
  • Published in 2019
  • Added on 2019-03-13
• Yet Another Single Law for Lattices
  • Published in 2003
  • Added on 2019-03-02
• Amusing Permutation Representations of Group Extensions
  • Published in 2018
  • Added on 2019-01-01
• Prime Number Races
  • Published in 2004
  • Added on 2018-11-12
• Enumeration of m-ary cacti
  • Published in 1998
  • Added on 2018-10-23
• Finding the Bandit in a Graph: Sequential Search-and-Stop
  • Published in 2018
  • Added on 2018-09-22
• The largest small hexagon
  • Published in 1975
  • Added on 2018-09-22
• One parameter is always enough
  • Published in 2018
  • Added on 2018-06-06
• Exact Enumeration of Garden of Eden Partitions
  • Published in 2006
  • Added on 2018-05-13
• Most primitive groups have messy invariants
  • Published in 1979
  • Added on 2018-05-06
• The Mathematical Coloring Book
  • Published in 2009
  • Added on 2018-04-18
• Straight knots
  • Published in 2018
  • Added on 2018-02-01
• An empty exercise
  • Published in 1990
  • Added on 2018-01-24
• Random railways modeled as random 3-regular graphs
  • Published in 1996
  • Added on 2018-01-09
• The game of plates and olives
  • Published in 2017
  • Added on 2017-11-30
• Chocolate games that satisfy the inequality \(y \leq \left \lfloor \frac{z}{k} \right\rfloor\) for \(k=1,2\) and Grundy numbers
  • Published in 2013
  • Added on 2017-10-18
• The tail does not determine the size of the giant
  • Published in 2017
  • Added on 2017-10-04
• $H$-supermagic labelings for firecrackers, banana trees and flowers
  • Published in 2016
  • Added on 2017-09-11
• Factoring in the Chicken McNugget monoid
  • Published in 2017
  • Added on 2017-09-06
• Maximum genus of the generalized Jenga game
  • Published in 2017
  • Added on 2017-08-07
• Proof of Conway's Lost Cosmological Theorem
  • Published in 1998
  • Added on 2017-07-26
• Computational complexity and 3-manifolds and zombies
  • Published in 2017
  • Added on 2017-07-13
• Polylogarithmic ladders, hypergeometric series and the ten millionth digits of $ζ(3)$ and $ζ(5)$
  • Published in 1998
  • Added on 2017-06-29
• Randomly juggling backwards
  • Published in 2016
  • Added on 2017-06-14
• Tropical totally positive matrices
  • Published in 2016
  • Added on 2017-05-02
• No, This is not a Circle
  • Published in 2017
  • Added on 2017-05-02
• Pauli Pascal Pyramids, Pauli Fibonacci Numbers, and Pauli Jacobsthal Numbers
  • Published in 2007
  • Added on 2017-03-24
• Jewish Problems
  • Published in 2011
  • Added on 2017-03-23
• Best Laid Plans of Lions and Men
  • Published in 2017
  • Added on 2017-03-22
• Statistics Done Wrong
  • Published in 2015
  • Added on 2017-03-01
• Hunting Rabbits on the Hypercube
  • Published in 2017
  • Added on 2017-02-06
• A Discrete and Bounded Envy-Free Cake Cutting Protocol for Any Number of Agents
  • Published in 2016
  • Added on 2016-10-13
• The Nesting and Roosting Habits of The Laddered Parenthesis
  • Published in 1973
  • Added on 2016-09-23
• Seven Puzzles You Think You Must Not Have Heard Correctly
  • Published in 2006
  • Added on 2016-08-30
• Ten Lessons I Wish I Had Learned Before I Started Teaching Differential Equations
  • Published in 1997
  • Added on 2016-08-03
• Bad groups in the sense of Cherlin
  • Published in 2016
  • Added on 2016-08-02
• Dr Mitchill and the Mathematical Tetrodon
  • Published in 2015
  • Added on 2016-06-13
• The snail lemma
  • Published in 2016
  • Added on 2016-06-13
• Counting groups: gnus, moas and other exotica
  • Published in 2008
  • Added on 2016-05-20
• Planar graph is on fire
  • Published in 2015
  • Added on 2015-12-02
• What to do when the trisector comes
  • Published in 1983
  • Added on 2015-11-30
• The effective content of Reverse Nonstandard Mathematics and the nonstandard content of effective Reverse Mathematics
  • Published in 2015
  • Added on 2015-11-19
• Haruspicy 3: The anisotropic generating function of directed bond-animals is not D-finite
  • Published in 2006
  • Added on 2015-11-08
• On the Existence of Generalized Parking Spaces for Complex Reflection Groups
  • Published in 2015
  • Added on 2015-09-06
• Mind the Croc! Rationality Gaps vis-à-vis the Crocodile Paradox
  • Published in 2015
  • Added on 2015-09-03
• Have you been using the wrong estimator? These guys bound average fidelity using this one weird trick von Neumann didn't want you to know
  • Published in 2015
  • Added on 2015-03-26
• This is the (co)end, my only (co)friend
  • Published in 2015
  • Added on 2015-01-13
• How not to prove the Poincaré conjecture
  • Published in 1966
  • Added on 2014-11-17
• The Super Patalan Numbers
  • Published in 2014
  • Added on 2014-10-23
• LIM is not slim
  • Published in 2013
  • Added on 2014-06-11
• More ties than we thought
  • Published in 2014
  • Added on 2014-02-06
• WHAT IS Lehmer's number?
  • Published in 2009
  • Added on 2013-12-03
• Lone Axes in Outer Space
  • Published in 2013
  • Added on 2013-11-29
• Pancake Flipping is Hard
  • Published in 2011
  • Added on 2013-11-15
• Swiss cheeses, rational approximation and universal plane curves
  • Published in 2010
  • Added on 2013-11-14
• Random Structures from Lego Bricks and Analog Monte Carlo Procedures
  • Published in 2013
  • Added on 2013-11-13
• Cookie Monster Devours Naccis
  • Published in 2013
  • Added on 2013-10-09
• Only problems, not solutions!
  • Published in 1991
  • Added on 2013-07-29
• Missing Data: Instrument-Level Heffalumps and Item-Level Woozles
  • Published in 1999
  • Added on 2013-06-26
• A Smaller Sleeping Bag For A Baby Snake
  • Published in 1998
  • Added on 2013-03-20
• The Fastest and Shortest Algorithm for All Well-Defined Problems
  • Published in 2002
  • Added on 2012-08-14
• How to recognise a 4-ball when you see one
  • Published in 2011
  • Added on 2012-05-19
• Cardinal arithmetic for skeptics
  • Published in 1992
  • Added on 2012-05-02
• Robust Soldier Crab Ball Gate
  • Published in 2011
  • Added on 2012-04-15
• High Primes and Misdemeanours: Lectures in Honour of the 60th Birthday of Hugh Cowie Williams
  • Published in 2004
  • Added on 2012-04-12
• Doc, What Are My Chances?
  • Published in 2011
  • Added on 2012-03-11
• Orange Peels and Fresnel Integrals
  • Published in 2012
  • Added on 2012-02-15
• Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later
  • Published in 2003
  • Added on 2012-02-09
• Good stories, pity they're not true
  • Published in 2004
  • Added on 2012-02-08
• The hardness of the Lemmings game, or Oh no, more NP-completeness proofs
  • Published in 2004
  • Added on 2012-01-27
• Scooping the Loop Snooper
  • Published in 2000
  • Added on 2012-01-20
• A zero-knowledge Poker protocol that achieves confidentiality of the players' strategy or How to achieve an electronic Poker face
  • Published in 1987
  • Added on 2012-01-10
• Carrots for dessert
  • Published in 2010
  • Added on 2012-01-02
• How to Gamble If You're In a Hurry
  • Published in 2011
  • Added on 2011-12-15
• Tetris is Hard, Even to Approximate
  • Published in 2008
  • Added on 2011-11-23
• Baron Munchhausen Redeems Himself : Bounds for a Coin-Weighing Puzzle Background
  • Published in 2010
  • Added on 2011-10-14
• Cool irrational numbers and their rather cool rational approximations
  • Published in 2003
  • Added on 2011-10-13
• There is no "Uspensky's method"
  • Published in 1986
  • Added on 2011-09-15
• Zaphod Beeblebrox's Brain and the Fifty-ninth Row of Pascal's Triangle
  • Published in 1992
  • Added on 2010-10-31
• How to explain zero-knowledge protocols to your children
  • Published in 1989
  • Added on 2010-03-24