A Mathematician's Aesthetics
In his classic A Mathematician's Apology, G. H. Hardy likened mathematics to poetry and painting. This site elaborates on Hardy's remark with quotations from Stevens, Klee, Fry, and Focillon. Links to related sites are given.
http://m759.freeservers.com/PHaesthetics.htmlA Disproof of Pythagoras' Theorem?
A method of disproving the Theorem of Pythagoras is presented. The author is adamant that this is intended only as a puzzle to find the mistake in the arguments, and not as a serious proposal.
http://www.geocities.com/ResearchTriangle/System/8956/problems/pyth.htm
Back to Square One
Includes description, solutions and other resources on this cube-like puzzle.
http://www.geocities.com/jaapsch/puzzles/square1.htm
Club Infinity
York University's Undergraduate Math Club with informations on math competitions and a problem solving forum.
http://www.math.yorku.ca/infinity/math/
Critical Math
Articles and images on recreational math from fractals and magic squares to mathemorchids and Galois.
http://www.geocities.com/aladgyma/articles/scimaths/maths.htm
Cryptarithms Online
70 brain-teasers; a Primer on Cryptarithmetic; books and links to alphametics on the Web.
http://www.geocities.com/Athens/Agora/2160
CuriousMath
Include news, math tricks, methods, facts, trivia, mostly posted by users.
http://www.curiousmath.com/
David Singmaster: List of Available Material
Teaching and recreational items in this personal collection.
http://anduin.eldar.org/~problemi/singmast/material.html
Eureka
The annual journal of the Archimedeans, the mathematical society of the University of Cambridge. It regularly contains articles on recreational mathematics.
http://www.cam.ac.uk/CambUniv/Societies/archim/eureka/
Fair Dice
Contains a complete list of all possible Fair Dice, most of which are not cubes. Includes pictures.
http://www.mathpuzzle.com/Fairdice.htm
Famous Curves
Visual animations of famous curves.
http://www.geocities.com/famouscurves/
Famous Curves Index
Curves you've heard of and curves you haven't, from Astroid to the Witch of Agnesi.
http://www-groups.dcs.st-and.ac.uk/~history/Curves/Curves.html
Fast Arithmetic Tips
Three categories: defensive - know to check an answer, offensive - fast mental calculations, and math magic.
http://www.cut-the-knot.com/arithmetic/rapid/index.shtml
Fibonacci numbers and the Pascal triangle
The relation between Fibonacci numbers and Pascal's triangle. English/German/Serbian.
http://milan.milanovic.org/math/
Fun With Mathematics
Includes pages on the topics of primes, fibonacci numbers, PI computation, data encryption and links to calculator programs.
http://www.geocities.com/hjsmithh/
Gardner Index
Rough index to the fifteen books containing Martin Gardner's Mathematical Games articles from Scientific American.
http://www.ms.uky.edu/~lee/ma502/gardner5/gardner5.html
Gathering for Gardner
Contains math, puzzle, geometry, illusions, mazes, links, articles and problems.
http://www.g4g4.com/
Geometric Packing Problems
By Joseph Malkevitch: "Given one shape X how and when can one pack identical copies of this shape into another shape Y?"
http://www.york.cuny.edu/~malk/tidbits/tidbit-geometric-packing.html
HAKMEM
A collection of problems from MIT. Work reported herein was conducted at the Artificial Intelligence Laboratory, a Massachusetts Institute of Technology research program.
http://www.inwap.com/pdp10/hbaker/hakmem/hakmem.html
Iamond
A page on polyiamond puzzles. Includes many pages on tessellation.
http://www.mathpuzzle.com/iamond.htm
Jlpe's Number Recreations Page
Features original number recreations by the author, such as generalized perfect numbers, digital diversions, diophantine equations, didactic numbers, and number theory.
http://www.geocities.com/windmill96/numrecreations.html
Look and Say Sequence Generator
Creates a special kind of summation formula created by John Conway.
http://www.btinternet.com/~se16/js/looknsay.htm
MAA Library List in Recreational Mathematics
Book list split into categories. Includes title, author, publisher and date information about each book.
http://www.maa.org/BLL/recmath.htm
MAT 007 I News
A newsletter edited by undergraduates of the Department of Mathematics at the University of Toronto. Includes some online copies.
http://www.math.toronto.edu/007/
Math Cats
A magic chalkboard takes you to a math art gallery and lots of interactive math activities, including: magic squares, conversions, seasonal surveys, symmetry, tessellations, geometric designs, games.
http://www.mathcats.com/
Math Forum: 2001 Mathematics Game
A contest that asks to write all integers from 1 to 100 using only the digits 2,0,0,1 and arithmetic operations.
http://mathforum.org/~judyann/2001/
Math Forum: 2002 Mathematics Game
A contest where the contestants have to write all integers from 1 to 100 using only the digits 2,0,0,2 and arithmetic operations.
http://mathforum.org/~judyann/2002/
Math Forum: Algebra Problem of the Week
View this week's algebra problem or those of previous weeks.
http://mathforum.org/algpow/
Math in the Movies
A guide to major motion pictures with scenes of real mathematics.
http://world.std.com/~reinhold/mathmovies.html
Math Magic By Computer
Interactive java puzzles and activities in different mathematical topics.
http://www.cut-the-knot.org/Curriculum/index.shtml#magic
Mathematical Diversions
Mostly original diversions in mathematics and word play.
http://members.aol.com/s6sj7gt/mikehome.htm
Mathematical Fiction
A list of mathematical fictional movies, books, stories, plays and shows. Split into categories including children's books. Can be sorted by mathematical content and literary quality.
http://math.cofc.edu/faculty/kasman/MATHFICT/Default.html
Mathematical Induction
A page of uncommon problems, most closely connected with number theory.
http://www.math.cl/induction.html
Mathematical Lego Sculptures
Designed and built by Andrew Lipson. Images and LDraw files.
http://www.lipsons.pwp.blueyonder.co.uk/mathlego.htm
Mathematical Poetry - A Small Anthology
A fascinating selection of poems by various poets based on the seemingly incongruous aesthetic and theme of mathematics.
http://kate.stange.com/mathweb/mathpoet.html
Mathematical Problems - Problem Solving
Mathematics Hots (Problems) by Bruno Kevius
http://mathres.kevius.com/problem.html
Mathematical Quotation Server
Furman University Mathematical Quotation Server - random or searchable math quotes.
http://math.furman.edu/~mwoodard/mqs/mquot.shtml
Mathematical Quotation Server
A collection of mathematical quotations culled from many sources. You may conduct a keyword search through the quotation database.
http://math.furman.edu/~mwoodard/mquot.html
Mathematical Spectrum
Mathematical Spectrum is a magazine for students and teachers of mathematics in universities, colleges and schools worldwide. It may be read by anybody interested in mathematics as a recreation.
http://www.shef.ac.uk/uni/companies/apt/ms.html
Mathematics for Fun
Interactive math pages including java Kali and a page on the world's largest prime.
http://www.thinks.com/math/index.htm
Mathematics in Art and Architecture
An interdisciplinary course on mathematics in art and architecture.
http://www.math.nus.edu.sg/aslaksen/teaching/math-art-arch.shtml
Mathematics Museum (Japan)
At Mathematics Museum (Japan) you would be surprised how interesting mathematics is. You will find exhibition rooms produced by Japanese researchers and educators.
http://mathmuse.sci.ibaraki.ac.jp/indexE.html
Mathematik
Individual pages on different topics in Mathematics. Examples : group theory, dynamical systems theory, geometry or number theory.
http://www.mathematik.com/
Mathematische Basteleien
Topics include Flexagon, Soma Cube, Pentominos, Cube-it, Rubik's Cube, Froebel's Star, Tangram, House of Santa Claus, Chronogram, Numeric Palindromes, Latticework of Letters. English/German.
http://www.mathematische-basteleien.de/
Mathematrix
Devoted to exploring the more entertaining (and generally lesser known) areas of mathematics. Can be enjoyed by anyone, from individuals with little or no math background to professors of the subject.
http://www.geocities.com/CapeCanaveral/Hangar/7773/index.html
Mathmos
Includes puzzles, jokes, quotations, poetry, and FAQs.
http://www.mathmos.net/
Maze Classification and Algorithms
A short description of mazes and how to create them. Definition of different mazetypes and their algorithms.
http://www.astrolog.org/labyrnth/algrithm.htm
Mudd Math Fun Facts
An archive of interesting math facts for use in the classroom or just for fun. Browse by subject, difficulty, keywords, or try the "random" feature. Based at Harvey Mudd College.
http://www.math.hmc.edu/funfacts/
Narcissistic Numbers
Those that are representable, in some way, by mathematically manipulating the digits of the numbers themselves.
http://www.geocities.com/~harveyh/narciss.htm
Number Recreations by Shyam Sunder Gupta
Features interesting facts about different numbers. Includes favorite related links.
http://www.shyamsundergupta.com/
On the Puzzles with Polyhedra and Numbers
This is an article on a set of didactical games edited by the Portuguese Mathematical Society (SPM).
http://gfm.cii.fc.ul.pt/Members/jr_poliedros-puzzles_en.pdf
One Metaphor Fits All
Explains Conway's audioactive decay that is generated by a particular kind of sequence. Includes illustrations and related resources.
http://www.btinternet.com/~se16/mhi/
Origami Mathematics
Information on the mathematics of paper folding.
http://web.merrimack.edu/~thull/OrigamiMath.html
Properties of Dice
Polyhedral dice and their properties.
http://hjem.get2net.dk/Klaudius/Dice.htm
Recmath
Includes pages on magic squares and polyomino patterns and contains related java applets.
http://web.idirect.com/~recmath/
Recreational and Educational Computing
A newsletter with programs, including optional supplemental PC disk. All back issues are available. Topics include puzzles and teasers, BASIC programming, letters, graphics, fractals, challenges, recreation, reviews, word-play, humor, tips, solut
http://members.aol.com/DrMWEcker/REC.html
Recreational Mathematics
Links collected at CAMEL, the Canadian Mathematical Society website.
http://camel.math.ca/Recreation/recreation.html
Recreational Mathematics (David Eppstein)
An extensive list of web resources for recreational math.
http://www.ics.uci.edu/~eppstein/recmath.html
Recreational Mathematics Forum
A forum for posting messages about math recreations. Hosted at Delphi.
http://forums.delphiforums.com/recmath/start/
Recreational Mathematics Topics
By Steven Dutch. Symmetry, Crystals, Polyhedra and Tilings; Pythagorean triplets and other things about sums of powers; Geometry Classics.
http://www.uwgb.edu/dutchs/RECMATH/recmath.htm
Roman Numerals
Contains a introduction to Roman numerals including a translation of the digits used and a converter which can convert decimal to Roman numerals and vice versa.
http://www.novaroma.org/via_romana/numbers.html
Rubik's Cube Lecture Notes
Notes on the mathematics of the Rubik's cube.
http://web.usna.navy.mil/~wdj/rubik_nts.htm
Sir Roger Penrose
A article about him and his interests and contributions to recreational mathematics.
http://www.worldofescher.com/misc/penrose.html
Skytopia - Super Magnet
A colourful world built entirely using mathematical atoms and molecules. Pictures and animations demonstrate structures colliding and interacting. Animated GIF demonstrations.
http://www.skytopia.com/project/magnet/magnet.html
Spirocharts
A windows application that creates mathematically precise spirograph drawings; savable as images.
http://www.nehuenmultimedia.com.ar/html/spirograph.html
Spirograph
A java applet for creating Spirograph images.
http://dogbomb.com/spi/
Sportlab
Combines high school and college math topics into sports applications.
http://www.geocities.com/sportlab/
Stunning Friends with Math Magic
A collection of card tricks, number guessing games, paper and glue magic, and other math exercises.
http://www.cut-the-knot.com/arithmetic/rapid/magic.shtml
Table of Numbers Problem
Given a m * n rectangle, place all numbers from 1 to mn that minimizes the sum of the products of rows and columns (both in Spanish and English).
http://www.alpertron.com.ar/CUADRO.HTM
The Aesthetics of Symmetry
A brief digression into how people perceive symmetrical patterns -- what makes them boring, interesting, or overly intricate
http://home.earthlink.net/~jdc24/symmetry.htm
The Diamond 16 Puzzle
New version of the classic puzzle using row/column/quadrant permutations to display symmetries of graphic designs. Has link to a site on the underlying mathematics (Diamond Theory).
http://m759.freeservers.com/puzzle.html
The Eugène Strens Recreational Mathematics Collection
A special collection at the University of Calgary, including the archives of Martin Gardner. There is a searchable online index.
http://www.ucalgary.ca/library/SpecColl/strens.htm
The Nine Digits Page
Puzzles and problems connected with numbers using the digits 1-9.
http://www.ping.be/~ping6758/ninedigits.htm
The Snarking of the Hunt
Visitors are invited to analyse the verses to discover mathematical puzzles and riddles. They are invited to offer solutions.
http://www.vau65.freeserve.co.uk/
The Sound of Mathematics
Algorithmic music determined by mathematics and by the musical preferences of a human. General MIDI files.
http://www.geocities.com/Vienna/9349/
Treasure Troves : Book List
Book list including titles, authors, publishers, prices, page count and some have links to Amazon.com.
http://www.treasure-troves.com/books/RecreationalMathematics.html
Wade Edward Philpott
Profile and description of his mathematical games and puzzles.
http://www.gamepuzzles.com/wade.htm
Wade Edward Philpott Collection
A special collection at the University of Calgary Library.
http://www.ucalgary.ca/library/SpecColl/philpott.htm
Who Can Name the Bigger Number?
An essay by Scott Aaronson on the quest for ever-bigger numbers, from exponentials to Busy Beavers.
http://www.cs.berkeley.edu/~aaronson/bignumbers.html
©2004 ChaBook