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Harvey Mudd College Math Department
created, authored and ©1999-2010 by
Francis Su
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© 1999-2010 by
Francis Edward Su
All rights reserved.
All Fun Facts
There are currently 203 Fun Fact files. You can also see a list of
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.
e
is irrational
All Horses are the Same Color
All Numbers are Interesting
Ants on a Stick
Arclength Surprise
Are Coins Fair?
Area of a Circle or Regular Polygon
Area of a Hyperbolic Wedge
Area of an Ellipse
Arrow's Impossibility Theorem
Banach-Tarski Paradox
Behold! the Pythagorean Theorem
Bike with Square Wheels
Binary Card Trick
Birthday Problem
Borsuk-Ulam Theorem
Brouwer Fixed Point Theorem
Buffon Needle Problem
Calculus Limerick
Cantor Diagonalization
Cantor Set
Chords of a Unit Circle
Chords of an Ellipse
Complex Roots Made Visible
Computability of Real Numbers
Conic sections
Connected Sums
Continuous but Nowhere Differentiable
Continuum Hypothesis
Deal or No Deal
Dedekind Cuts of Rational Numbers
Derivative Paradox
Descartes' Rule of Signs
Devil's Staircase
Difference of Squares
Dinner Party Problem
Divisibility by Eleven
Divisibility by Seven
Does Order of Addition Matter?
Domino and Square Tilings
Dominoes on a Chessboard
Drunken Walker and Fly
Eccentricity of Conics
Ellipsoidal Paths
Envy-free Cake Division
Equidecomposability
Euler Characteristic
Euler's Formula
Euler's Product Formula
Face Derivatives and Computer Vision
Farmers and Pesky Birds
Fermat's Last Theorem
Fermat's Little Theorem
Fibonacci GCD's, please
Fibonacci Number Formula
Finding the N-th digit of Pi
Football Field
Formula for Primes?
Four Color Theorem
Four Fours Problem
Fourier Ears Only
Fractional Dimensions
Fundamental Group
Gabriel's Trumpet
Gamma Function
Gaps in Primes
Goldbach's Conjecture
Greedy to Avoid Progressions
Hailstone Numbers
Hairy Ball Theorem
Ham Sandwich Theorem
High-Dimensional Spheres in Cubes
Holey Beads
How GPS Works
How many Primes?
How many Rationals?
Hugging the Equator
Hyperbolic Geometry
Impossible Integral?
Inchworm on a Rubber Rope
Inductive Tiling
Irrationality by Infinite Descent
Isoperimetric Inequality
Kakeya Needle Problem
Kaprekar's Constant
Klein Bottle
Koch Snowflake
Koch Tetrahedron
Large Counterexample
Largest Known Primes
Leapfrog Addition
Liouville Numbers
Lucas' Theorem
Magic 1089
Magic Squares, indeed!
Making History by Card Shuffling
Making Magic Squares
Matching Problem
Math Limerick
Medical Tests and Bayes' Theorem
Memorizing Pi
Mind-Reading Number Trick
Misleading Sequence
Monty Hall Problem
Morley's Theorem
Mug Trick
Multidimensional Newton's Method
Multiplication by 11
Multiplication by 111
Multiplying Complementary Pairs
Music Math Harmony
Napoleon's Theorem
Nine Point Circle
Odd Numbers in Pascal's Triangle
One Equals Zero!
One Equals Zero: Integral Form
One, Two, Three, Pi
Ordinal Numbers
Pascal's Triangle
Pass the Beer
Perfect Shuffles
Pi Approximations
Pick's Theorem
Pigeonhole Principle
Pizza Slices
Poker Probability Paradox
Polyhedral Face Vectors
Powers of Ten in Base Two and Five
Pretzel Unlinking
Prime Number Theorem
Products of Sums of Two Squares
Projective Planes
Proof with Words
Proofs without Words
Pythagorean Triples
Quick Square Roots
Rational Irrational Power
Rationals Dense but Sparse
Really Complex Matrices
Red-Black Card Trick
Red-Black Pairs Card Trick
Reflecting on the Hyperbola
Regular Solids
Rental Harmony
Repeating Digits
Repunit Fun
Reuleaux Wheel
Riemann Hypothesis
Right Double Cone
Rising Sequences in Card Shuffling
Rolling Polygons
Rubber Bands Stuck on a Torus
Scrabble Identity
Seven Shuffles
Shortest Pythagorean Proof?
Sierpinski-Mazurkiewicz Paradox
Sine of (1/55555....)
Six Degrees of Separation
Slices of Hanging Cubes
Sliding Chords
Social Choice and the Condorcet Paradox
Space-filling Curves
Sperner's Lemma
Sphere Eversions
Spherical Bands
Spherical Geometry
Spherical Pythagorean Theorem
Square Root of Two is Irrational
Squares Ending in 5
Squaring Numbers between 40 and 60
Squaring Quickly
St. Petersburg Paradox
Successive Differences of Powers
Sum of Cubes
Sum of Cubes and Beyond
Sum of Prime Reciprocals
Sums of Reciprocal Powers
Sums of Three and Four Squares
Sums of Two Squares
Sums of Two Squares Ways
Sure Betting on Different Beliefs
Surface Area of a Sphere
Suspended Rope Trick
Taylor-made Pi
Tesseract
Thinned-Out Harmonic Series
Toggling Light Switches
Tower of Powers
Two Envelopes Paradox
Unbelievable Unlinking
Van der Waerden Theorem
Vickrey Auction
Visual Multiplication with Lines
Volume of a Ball in N Dimensions
Volume of a Cone in N Dimensions
Wallis' Formula
Whiffle Ball
Why Does 0.999... = 1?
Why an International Date Line?
Wilson's Theorem
Zero to the Zero Power
i to the i is a Real Number
tamreF's Last Theorem
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