Interactive Mathematics Miscellany and Puzzles

Raymond Smullyan, a Mathematician, Philosopher and author of several outstanding books of logical puzzles, tells, in one of his books, a revealing story. A friend invited him for dinner. He told Smullyan that his teenage son was crazy about Smullyan's books and could not wait to meet him. The friend warned Smullyan not to mention that he is a Mathematician and that Logic is a part of Mathematics because the young fellow hated Mathematics.

Having told this story, would it be wise to announce up front what this site is about? Perhaps against a better judgement, I've put together a manifesto that aims to explain the purpose of this site.

Arithmetic Base Conversion Divisibility Criteria Euclid's Game Fast Arithmetic Tips Hour glass timing Magic in Square Napier Bones Number Guessing Game And much much more ... Math Games & Puzzles Three Jugs Problem Box Labels Fish Soup game Goat, Cabbage and Wolf Josephus Flavius' problem Mastermind Variants Peg Solitaire Scoring Toads And Frogs Puzzle Toads And Frogs in 2D Tower of Hanoi Tromino Puzzle And much much more ... Logic Lewis Carroll's Logic Game Venn Diagrams And more ... Fractals & Chaos Color Cycling on Mandelbrot Emergence of Chaos All Peano Curves Cantor sets Pascal Triangle Fractal Curves and Dimension Iterated Function Systems Iterations in Mandelbrot Set Julia Sets Logistic Model Plane Filling Curves Sierpinski Gasket Toying with Tremas And more ... Fallacies All Triangles Are Isosceles Circle With Two Centers Curry's Paradox Delian Problem Solved Faulty Dissection Langman's Paradox Rouse Ball's Fallacy Sam Loyd's Son's Dissection Calculus Equations of the Straight Line Function, Derivative and Integral Lagrange Interpolation Riemann Sums Rolle's and Mean Value Taylor Series for Cosine And more ... Combinatorial Games Date Game Grundy's Game Kayles Nim Nimble Northcott's game One Pile Plainim Misère Subtraction Game Take-Away Games Turning Turtles Wythoff's Nim And much more ...

Algebra 3-Term Arithmetic Series Binary Color Device Candy Game Chebyshev polynomials Counting Triangles Averages Heads and Tails Multiplication Table Interest Calculations Letter Counting Merlin's Magic Squares Proizvolov's Identity Pythagorean Triples Self-documenting Sentences What's next? Word Problems And much more ... Geometry 3 Utilities Puzzle All About Altitudes Angle Bisectors Area of Parallelogram Asymmetric Propeller Butterfly Theorem Sangaku: Thoughts & Problems Fagnano's problem Inversion: Reflection in Circle Morley's Miracle Poles and Polars Pythagorean Theorem Reflection in Line Translation Transform Triangle geometry And much much more ... Probability Birds On a Wire Buffon's Noodle Misuse of Statistics Monty Hall Dilemma Parrondo's Paradox Probability and Infinity And much more ... Computer Math Magic Arithmetic magic matrix Bachet's Magic Trick Calendar Magic Gergonne's Magic Trick Hummer's Mind Reader Magic in Square Number Guessing Game Guessing Two Numbers Combinatorics Bicolor Tower of Hanoi Art Gallery Theorem Coin change Critical Path Hanoing Latin Squares Listing all permutations Mazes Monotone Sequences A Pigeonhole Problem Project Scheduling Scrub Tile Puzzle Shuttle Puzzle Tower of Hanoi And much more ... Miscellaneous Disappearing Rectangles Genetic Algorithm Impossible Fork Projectile Trajectory Random Dot Stereograms Ratchet Effect And more ...

Eye Opener Series Breaking Chocolate Bars Farmer and Wife Make Your Move, Kid! Solitaire on the Circle Two Butterflies Theorem And much more ... Visual Illusions Balls and Shadows Illusion Bulging lines illusion Gerbino's Illusion Heaver: A Visual Illusion Hering Illusion Judd Illusion Kanizsa Triangle Müller-Lyer Illusion Necker Cube Perspective Illusion Poggendorff Illusion II Ponzo Illusion Revolving Circles Illusion Twisted Cord Illusion Wundt Block Illusion Zöllner's Illusion And much much more ... Social Science Method of Markers Method of Sealed Bids Fast Power Indices Hamilton's Apportionment Huntington-Hill Apportionment Social Choice And much much more ... Mathematical Droodles Circle Chains Diagonal Count Directly Similar Figures Equal Incircles Theorem Eyeball Theorem Fagnano's problem Maxwell's Theorem Poncelet's Porism Shape of Constant Width Squinting Eyes Theorem And much much more ... Analog Devices Draw Ellipse Angle Trisector Broken Calculator Cycloids Ellipse and Other Curves Geoboard Peaucellier Linkage Pythagorean Theorem And more ...