Easily explained

224 entries

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• Suspicious discontinuities
  • Published in 2020
  • Added on 2026-04-10
• Magic Triangles
  • Published in 2022
  • Added on 2026-01-12
• The Reversed Zeckendorf Game
  • Published in 2023
  • Added on 2026-01-12
• The Paradox of Anti-Inductive Dice
  • Published in 2025
  • Added on 2025-05-23
• The Basins Zoo
  • Published in 2025
  • Added on 2025-05-03
• A robot that unknots knots
  • Published in 2025
  • Added on 2025-05-03
• On the Traveling Fly Problem
  • Published in 1996
  • Added on 2025-04-22
• Hamiltonian Cycles on Ammann-Beenker Tilings
  • Published in 2024
  • Added on 2024-12-02
• Tiling with Three Polygons is Undecidable
  • Published in 2024
  • Added on 2024-12-02
• Ropes, fractions, and moduli spaces
  • Published in 2023
  • Added on 2024-09-30
• Look, There's More to Say about Conway's Look and Say Sequence
  • Published in 2024
  • Added on 2024-09-05
• Tumbling Downhill along a Given Curve
  • Published in 2024
  • Added on 2024-07-24
• Integers that are not the sum of positive powers
  • Published in 2024
  • Added on 2024-06-21
• Squigonometry: The Study of Imperfect Circles
  • Published in 2022
  • Added on 2024-04-10
• The Sine of a Single Degree
  • Published in 2017
  • Added on 2024-01-15
• How big a table do you need for your jigsaw puzzle?
  • Published in 2023
  • Added on 2024-01-15
• When Can You Tile an Integer Rectangle with Integer Squares?
  • Published in 2023
  • Added on 2023-10-09
• Wallpaper Functions
  • Published in 2002
  • Added on 2023-06-20
• Foldings and Meanders
  • Published in 2013
  • Added on 2023-03-22
• Euclidean traveller in hyperbolic worlds
  • Published in 2022
  • Added on 2022-09-09
• 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
• On The Euclidean Algorithm: Rhythm Without Recursion
  • Published in 2022
  • Added on 2022-07-08
• The Strong Law of Small Numbers
  • Published in 1988
  • Added on 2022-07-05
• Filling space with hypercubes of two sizes -- The pythagorean tiling in higher dimensions
  • Published in 2022
  • Added on 2022-05-13
• A simple mnemonic to compute sums of powers
  • Published in 2022
  • Added on 2022-04-24
• Descending Dungeons and Iterated Base-Changing
  • Published in 2006
  • Added on 2022-02-28
• Tiling with arbitrary tiles
  • Published in 2015
  • Added on 2022-02-23
• Less Mundane Applications of the Most Mundane Functions
  • Published in 2022
  • Added on 2022-02-16
• Pop-Up Geometry
  • Published in 2022
  • Added on 2022-02-16
• Check Digits
  • Published in 1999
  • Added on 2022-01-18
• Bell-ringing methods as polyhedra
  • Published in 2015
  • Added on 2021-11-20
• The design of mathematical language
  • Published in 2021
  • Added on 2021-11-20
• SET with a Twist
  • 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
• Perimeter-minimizing pentagonal tilings
  • Published in 2014
  • Added on 2021-05-04
• Maximum overhang
  • Published in 2007
  • Added on 2021-03-15
• Envelopes are solving machines for quadratics and cubics and certain polynomials of arbitrary degree
  • Published in 2020
  • Added on 2021-01-06
• "Match-Stick" Geometry
  • Published in 1939
  • Added on 2020-12-20
• Graphs, friends and acquaintances
  • Published in 2016
  • Added on 2020-11-25
• A Prime-Representing Constant
  • Published in 2020
  • Added on 2020-11-06
• Least Significant Non-Zero Digit of n!
  • Published in 2000
  • Added on 2020-10-22
• World's shortest explanation of Gödel's theorem
  • Published in 2009
  • Added on 2020-10-16
• A Midsummer Knot's Dream
  • Published in 2010
  • Added on 2020-09-21
• The No-Flippancy Game
  • Published in 2020
  • Added on 2020-09-21
• Parking Functions: Choose Your Own Adventure
  • Published in 2020
  • Added on 2020-09-21
• Astonishing Numbers
  • Published in 2001
  • Added on 2020-08-28
• Goldbug Variations
  • Published in 2005
  • Added on 2020-06-12
• Indigenous perspectives in maths: Understanding Gurruṯu
  • Published in 2020
  • Added on 2020-06-08
• Gergonne's Card Trick, Positional Notation, and Radix Sort
  • Published in 2017
  • Added on 2020-05-30
• Infinitude of Primes Using Formal Language Theory
  • Published in 2020
  • Added on 2020-05-25
• Projectivizing Set
  • Published in 2020
  • Added on 2020-04-19
• Knots and links in spatial graphs
  • Published in 1983
  • Added on 2020-04-12
• How long is my toilet roll? – a simple exercise in mathematical modelling
  • Published in 2013
  • Added on 2020-04-09
• Computing Linkages
  • Published in 2010
  • Added on 2020-04-06
• Theory and applications of the double-base number system
  • Published in 1999
  • Added on 2020-02-03
• A unique pair of triangles
  • Published in 2018
  • Added on 2019-12-10
• The Graph Menagerie: Abstract Algebra and the Mad Veterinarian
  • Published in 2011
  • Added on 2019-11-06
• Port-and-Sweep Solitaire
  • Published in 2010
  • Added on 2019-10-12
• Finding a princess in a palace: A pursuit-evasion problem
  • Published in 2012
  • Added on 2019-10-08
• How to Hunt an Invisible Rabbit on a Graph
  • Published in 2015
  • Added on 2019-10-08
• Palindromes in Different Bases: A Conjecture of J. Ernest Wilkins
  • Published in 2009
  • Added on 2019-09-14
• Fractal Sequences
  • Published in 1999
  • Added on 2019-08-21
• Numbers for Masochists: A Guide to Mental Factoring
  • Published in 2018
  • Added on 2019-07-31
• Chords of an ellipse, Lucas polynomials, and cubic equations
  • Published in 2018
  • Added on 2019-06-30
• Brainfilling Curves - a Fractal Bestiary
  • Published in 2012
  • Added on 2019-05-09
• Brazilian Primes Which Are Also Sophie Germain Primes
  • Published in 2019
  • Added on 2019-03-13
• The Takagi Function and Its Properties
  • Published in 2011
  • Added on 2019-03-04
• Codes, Lower Bounds, and Phase Transitions in the Symmetric Rendezvous Problem
  • Published in 2016
  • Added on 2019-03-02
• The Instructor's Guide to Real Induction
  • Published in 2012
  • Added on 2019-03-02
• What Is an Envelope?
  • Published in 1981
  • Added on 2019-02-04
• Mathematics applied to dressmaking
  • Published in 1994
  • Added on 2018-11-29
• Rectangle Arithmetic
  • Published in 2006
  • Added on 2018-11-27
• Duotone Truchet-like tilings
  • Published in 2009
  • Added on 2018-11-13
• Prime Number Races
  • Published in 2004
  • Added on 2018-11-12
• Noncrossing partitions under rotation and reflection
  • Published in 2005
  • Added on 2018-10-27
• Calculator Forensics
  • Published in 2000
  • Added on 2018-10-16
• The largest small hexagon
  • Published in 1975
  • Added on 2018-09-22
• The Splitting Algorithm for Egyptian Fractions
  • Published in 1991
  • Added on 2018-09-20
• The Namer-Claimer game
  • Published in 2018
  • Added on 2018-09-04
• Euclid's theorem on the infinitude of primes: a historical survey of its proofs (300 B.C.--2017) and another new proof
  • Published in 2012
  • Added on 2018-08-21
• On Some Regular Toroids
  • Published in 2001
  • Added on 2018-07-26
• How to hear the shape of a billiard table
  • Published in 2018
  • Added on 2018-06-27
• Proof without Words: Fair Allocation of a Pizza
  • Published in 1994
  • Added on 2018-06-26
• When are Multiples of Polygonal Numbers again Polygonal Numbers?
  • Published in 2018
  • Added on 2018-06-25
• Renyi's Parking Problem Revisited
  • Published in 2014
  • Added on 2018-05-21
• Soviet Street Mathematics: Landau’s License Plate Game
  • Published in 2018
  • Added on 2018-05-17
• Neumbering
  • Published in 2018
  • Added on 2018-05-17
• Exact Enumeration of Garden of Eden Partitions
  • Published in 2006
  • Added on 2018-05-13
• How long does it take to catch a wild kangaroo?
  • Published in 2008
  • Added on 2018-05-12
• Nice Neighbors: A Brief Adventure in Mathematical Gamification
  • Published in 2016
  • Added on 2018-04-17
• How do you fix an Oval Track Puzzle?
  • Published in 2016
  • Added on 2018-03-13
• Straight knots
  • Published in 2018
  • Added on 2018-02-01
• The Muffin Problem
  • Published in 2017
  • Added on 2018-01-30
• Any Monotone Boolean Function Can Be Realized by Interlocked Polygons
  • Published in 2010
  • Added on 2018-01-08
• A compilation of LEGO Technic parts to support learning experiments on linkages
  • Published in 2017
  • Added on 2017-12-04
• The game of plates and olives
  • Published in 2017
  • Added on 2017-11-30
• Factoring in the Chicken McNugget monoid
  • Published in 2017
  • Added on 2017-09-06
• Officially, Home Plate doesn’t exist.
  • Published in 2017
  • Added on 2017-08-16
• The Sleeping Beauty Controversy
  • Published in 2017
  • Added on 2017-08-14
• The Bulgarian solitaire and the mathematics around it
  • Published in 2015
  • Added on 2017-08-10
• Frustration solitaire
  • Published in 2007
  • Added on 2017-08-10
• The Curling Number Conjecture
  • Published in 2009
  • Added on 2017-07-31
• Proof of Conway's Lost Cosmological Theorem
  • Published in 1998
  • Added on 2017-07-26
• Overcurvature describes the buckling and folding of rings from curved origami to foldable tents
  • Published in 2012
  • Added on 2017-07-20
• Steinhaus Longimeter
  • Published in 2017
  • Added on 2017-07-02
• Every positive integer is a sum of three palindromes
  • Published in 2016
  • Added on 2017-06-21
• Arrangements of Stars on the American Flag
  • Published in 2012
  • Added on 2017-06-12
• The opaque square
  • Published in 2013
  • Added on 2017-05-22
• PVC Polyhedra
  • Published in 2017
  • Added on 2017-05-02
• No, This is not a Circle
  • Published in 2017
  • Added on 2017-05-02
• PAPAC-00, a Do-It-Yourself Paper Computer
  • Published in 1958
  • Added on 2017-03-21
• Crazy Sequential Representation: Numbers from 0 to 11111 in terms of Increasing and Decreasing Orders of 1 to 9
  • Published in 2013
  • Added on 2017-03-12
• The mathematics of lecture hall partitions
  • Published in 2016
  • Added on 2017-03-08
• Hunting Rabbits on the Hypercube
  • Published in 2017
  • Added on 2017-02-06
• Rules for Folding Polyminoes from One Level to Two Levels
  • Published in 2017
  • Added on 2017-01-16
• Balloon Polyhedra
  • Published in 2013
  • Added on 2016-12-21
• Cryptographic Protocols with Everyday Objects
  • Published in 2011
  • Added on 2016-11-17
• 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
• Historical methods for multiplication
  • Published in 2010
  • Added on 2016-09-22
• Ponytail Motion
  • Published in 2010
  • Added on 2016-09-19
• Topologically Distinct Sets of Non-intersecting Circles in the Plane
  • Published in 2016
  • Added on 2016-08-25
• The general counterfeit coin problem
  • Published in 1995
  • Added on 2016-08-24
• What is the smallest prime?
  • Published in 2012
  • Added on 2016-07-05
• Photoelectric Number Sieve Machine ("Gear Machine")
  • Published in 1932
  • Added on 2016-06-13
• Fibonacci Jigsaw Puzzle
  • Published in 2016
  • Added on 2016-05-19
• Dismal Arithmetic
  • Published in 2011
  • Added on 2016-05-19
• Dice - Numericana
  • Published in 2000
  • Added on 2015-10-17
• Proposal to Encode the Ganda Currency Mark for Bengali in ISO/IEC 10646
  • Published in 2007
  • Added on 2015-09-30
• Denser Egyptian Fractions
  • Published in 1998
  • Added on 2015-07-23
• A combinatorial theorem in plane geometry
  • Published in 1975
  • Added on 2015-02-23
• The dying rabbit problem revisited
  • Published in 2007
  • Added on 2015-02-18
• Efficient Algorithms for Zeckendorf Arithmetic
  • Published in 2012
  • Added on 2015-02-16
• Rational approximations to $\pi$ and some other numbers
  • Published in 1993
  • Added on 2015-02-16
• On dice and coins: Models of computation for random generation
  • Published in 1993
  • Added on 2015-01-26
• Bells, Motels and Permutation Groups
  • Published in 2012
  • Added on 2014-12-17
• The Super Patalan Numbers
  • Published in 2014
  • Added on 2014-10-23
• Methods for studying coincidences
  • Published in 2006
  • Added on 2014-10-07
• How often should you clean your room?
  • Published in 2013
  • Added on 2014-09-02
• Pondering an Artist's Perplexing Tribute to the Pythagorean Theorem
  • Published in 2009
  • Added on 2014-08-28
• A Fresh Look at Peg Solitaire
  • Published in 2007
  • Added on 2014-08-26
• Foldings and Meanders
  • Published in 2013
  • Added on 2014-08-19
• The Number-Pad Game
  • Published in 2007
  • Added on 2014-06-11
• A Mathematical Coloring Book
  • Published in 2009
  • Added on 2014-04-24
• More ties than we thought
  • Published in 2014
  • Added on 2014-02-06
• The Stick Problem
  • Published in 2013
  • Added on 2014-01-13
• The mathematics of Septoku
  • Published in 2008
  • Added on 2013-12-22
• 2178 And All That
  • Published in 2013
  • Added on 2013-11-20
• Fibonacci numbers and Leonardo numbers
  • Published in 1981
  • Added on 2013-11-19
• Pancake Flipping is Hard
  • Published in 2011
  • Added on 2013-11-15
• Playing pool with $\pi$ (the number $\pi$ from a billiard point of view)
  • Published in 2003
  • Added on 2013-11-14
• Random Structures from Lego Bricks and Analog Monte Carlo Procedures
  • Published in 2013
  • Added on 2013-11-13
• Practical numbers
  • Published in 1948
  • Added on 2013-10-31
• How to differentiate a number
  • Published in 2003
  • Added on 2013-10-31
• The Ubiquitous Thue-Morse Sequence
  • Published in 2006
  • Added on 2013-10-21
• Sloane's Gap: Do Mathematical and Social Factors Explain the Distribution of Numbers in the OEIS?
  • Published in 2011
  • Added on 2013-10-17
• On a problem of Störmer
  • Published in 1964
  • Added on 2013-07-11
• Pascal's Pyramid Or Pascal's Tetrahedron
  • Published in 1990
  • Added on 2013-06-25
• Non-sexist solution of the ménage problem
  • Published in 1985
  • Added on 2013-06-16
• The Ubiquitous Pi
  • Published in 2013
  • Added on 2013-06-11
• Six Ways to Sum a Series
  • Published in 1994
  • Added on 2013-06-10
• Division of labor in child care: A game-theoretic approach
  • Published in 2013
  • Added on 2013-05-07
• A Do-It-Yourself Paper Digital Computer, 1959.
  • Published in 2010
  • Added on 2013-05-05
• Familial sinistrals avoid exact numbers.
  • Published in 2013
  • Added on 2013-04-15
• The urinal problem
  • Published in 2010
  • Added on 2013-03-28
• A Smaller Sleeping Bag For A Baby Snake
  • Published in 1998
  • Added on 2013-03-20
• Das 2: 3-Ei-ein praktikables Eimodell
  • Published in 2009
  • Added on 2013-03-19
• Problems to sharpen the young
  • Published in 1992
  • Added on 2013-03-18
• Zeroless Arithmetic: Representing Integers ONLY using ONE
  • Published in 2013
  • Added on 2013-03-07
• Conway's Rational Tangles
  • Published in 2012
  • Added on 2013-02-06
• Delay can stabilize: Love affairs dynamics
  • Published in 2012
  • Added on 2013-01-19
• Invited commentary: the perils of birth weight--a lesson from directed acyclic graphs.
  • Published in 2006
  • Added on 2013-01-02
• Figures for "Impossible fractals"
  • Published in 2008
  • Added on 2012-12-18
• How to eat 4/9 of a pizza
  • Published in 2011
  • Added on 2012-12-12
• Conway's Wizards
  • Published in 2012
  • Added on 2012-11-03
• Picture-Hanging Puzzles
  • Published in 2012
  • Added on 2012-11-03
• Papy's Minicomputer
  • Published in 1970
  • Added on 2012-10-31
• On sphere-filling ropes
  • Published in 2010
  • Added on 2012-10-29
• Earliest Uses of Symbols of Calculus
  • Published in 2008
  • Added on 2012-10-09
• Twin Towers of Hanoi
  • Published in 2011
  • Added on 2012-09-28
• Online Dating Recommender Systems: The Split-complex Number Approach
  • Published in 2012
  • Added on 2012-09-13
• A Hamiltonian circuit for Rubik's Cube
  • Published in 2012
  • Added on 2012-09-04
• How far can Tarzan jump?
  • Published in 2012
  • Added on 2012-09-02
• A New Rose : The First Simple Symmetric 11-Venn Diagram
  • Published in 2012
  • Added on 2012-08-09
• Seven Staggering Sequences
  • Published in 2006
  • Added on 2012-07-14
• The top ten prime numbers
  • Published in 2001
  • Added on 2012-06-28
• Train Sets
  • Published in 1994
  • Added on 2012-06-25
• The wobbly garden table
  • Published in 2001
  • Added on 2012-06-17
• Topology Explains Why Automobile Sunshades Fold Oddly
  • Published in 2012
  • Added on 2012-05-23
• Estimating the Effect of the Red Card in Soccer
  • Published in 2009
  • Added on 2012-05-09
• Survey on fusible numbers
  • Published in 2012
  • Added on 2012-05-02
• Robust Soldier Crab Ball Gate
  • Published in 2011
  • Added on 2012-04-15
• Light reflecting off Christmas-tree balls
  • Published in 2010
  • Added on 2012-04-08
• Cake Cutting Mechanisms
  • Published in 2012
  • Added on 2012-04-07
• Gaussian prime spirals
  • Published in 2012
  • Added on 2012-03-24
• A New Approximation to $\pi$ (Conclusion)
  • Published in 1948
  • Added on 2012-03-14
• Quotients Homophones des Groupes Libres Homophonic Quotients of Free Groups
  • Published in 1986
  • Added on 2012-02-27
• Orange Peels and Fresnel Integrals
  • Published in 2012
  • Added on 2012-02-15
• Tropical Mathematics
  • Published in 2004
  • Added on 2012-02-12
• Fractions without Quotients: Arithmetic of Repeating Decimals
  • Published in 1978
  • Added on 2012-02-10
• Cryptographic and Physical Zero-Knowledge Proof Systems for Solutions of Sudoku Puzzles
  • Published in 2007
  • Added on 2012-02-07
• Gerrymandering and Convexity
  • Published in 2010
  • Added on 2012-02-03
• Continued fractions constructed from prime numbers
  • Published in 2010
  • Added on 2012-02-01
• The Snowblower Problem
  • Published in 2006
  • Added on 2012-01-22
• Scooping the Loop Snooper
  • Published in 2000
  • Added on 2012-01-20
• Drawings from Angola: living mathematics
  • Published in 2007
  • Added on 2012-01-19
• The Collatz Fractal
  • Published in 2012
  • Added on 2012-01-15
• Complexity of Langton's ant
  • Published in 2002
  • Added on 2012-01-04
• Three-dimensional finite point groups and the symmetry of beaded beads
  • Published in 2007
  • Added on 2012-01-04
• Laying train tracks
  • Published in 2011
  • Added on 2011-12-03
• Remainder Wheels and Group Theory
  • Published in 2008
  • Added on 2011-11-02
• Gödel's Second Incompleteness Theorem Explained in Words of One Syllable
  • Published in 1994
  • Added on 2011-09-24
• Fusible Numbers
  • Published in 2010
  • Added on 2011-09-21
• Mad Abel : A card game for 2 + players
  • Published in 2006
  • Added on 2011-09-13
• Irrationality from the book
  • Published in 2009
  • Added on 2011-08-29
• Juggling Probabilities
  • Published in 2009
  • Added on 2011-03-20
• On a curious property of 3435
  • Published in 2009
  • Added on 2011-02-02
• On Buffon Machines and Numbers
  • Published in 2011
  • Added on 2011-01-12
• Can One Hear the Shape of a Drum?
  • Published in 1966
  • Added on 2011-01-12
• Spontaneous knotting of an agitated string.
  • Published in 2007
  • Added on 2011-01-12
• Misconceptions about the Golden Ratio
  • Published in 1992
  • Added on 2010-09-29
• What symmetry groups are present in the Alhambra?
  • Published in 2006
  • Added on 2010-09-06
• How to explain zero-knowledge protocols to your children
  • Published in 1989
  • Added on 2010-03-24