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Math Resources, Puzzle Resources,
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and Everything I Like.

Martin Gardner celebrated math puzzles and Mathematical Recreations.  This site aims to do the same.  The webmaster, Ed Pegg Jr, is a twenty one year member of the National Puzzler's League, and frequently contributes to the New York Times crossword, Games, and National Public Radio's Sunday Puzzler.  If you've made a good, new math puzzle, send it!

MATH PUZZLE OF THE WEEK
Big changes for me.  I've turned in my notice for satellite programming, and I'm moving in with a friend in Kansas City (I'm giving my current house to my elderly mother).  With the extra free time, I'll be doing work for Adrian Fisher (www.mazemaker.com), mainly on the Mitre System.  I plan to add daily content to mathpuzzle.com -- mainly a slew of java applets.  This should start on the 16th.

Frames and Pieces of the Mitre System set.  Laser cut from acrylic.  Enough to make a 14 inch square.
The Mitre System Patent Pending by Adrian Fisher and Ed Pegg Jr.
The Mitre System is now available for purchase.  Read about it here.  To get it, send $30 (check or money order) to Ed Pegg Jr, 529 S Hancock, Colorado Springs CO 80903.  It contains 92 Pyramids, 48 Fins, 26 Mitres, and 4 squares.  I'll also include 6 Small Triangles, 6 Millstones, 6 Bells, and 6 Fans (cut from some other sheet).  It's a pretty big set.  The basic set has no frame (sorry, it's tricky to ship).  For an extra $15, I'll include a series of nested frames (all solvable squares) and two plates so you can hang your solutions (the larger squares have thousands of solutions).  Some of these squares are very hard to solve.  There are other squares, too, but the frames would have gotten too fragile if I included all of them.  If you're ordering, please Email me and let me know.  I have 25 sets from the first run.  I have 4 sets of the frames left.  I can cut more to satisfy orders until May 10th.

Mitre System Tree of Life copyright (c) 2000 by Adrian Fisher.  Used with permission.
Adrian is already using The Mitre System for some large projects in decorative paving.  It works beautifully!  Currently, it's also quite expensive.  If that doesn't bother you, or if you have a large project, contact Adrian Fisher.  In a year or so, competitively priced tile or brick will be available for your house or business.  In the meantime, you can marvel at some of Adrian's latest creations.

Mitre System Pike copyright (c) 2000 by Adrian Fisher.  Used with permission.
One thing I developed for the Mitre System is the following game board.  It has a lot of unusual properties, but I haven't figured out any spectacular games for it yet.  Can you?  If so, write me.

Mitre System game board copyright (c) 2000 by Ed Pegg Jr.

The Octiamond sets -- The first run has sold out.  I've started a second run.  Comments I've gotten recently:
   "I just received your "Border Patrol" octiamonds set.  I'm stunned at its beauty (and I own most of Kadon's gems).  Can't believe you have produced such a gorgeous set at such an affordable price!  I may order a couple more soon."
   "Thanks for the octiamonds - the sets, as you said, are very attractive."
   "I received the octiamonds last Thursday, and the Chaos Tiles on Friday.  I've been carrying around the octiamonds with me showing them off and trying to get enough time to sit down and work (play, really) with them."
   "I got them today, as you predicted: a lovely little package of almost Japanese elegance. I've been peeling them as I read my mail; excellent little pieces that just demand to be shoved together."
   "The octiamonds arrived today. I've peeled the tape off about half of them so far and they're going to look reeeeaaallly nice."
   "Oh I wanted to let you know that I got the Chaos Tiles on Monday.  The quality is unbelievable.  I had no idea that one person could go off and have something of that quality made by himself.  If anyone is ever going to make all the fair dice, you are sure the guy for the job."

Chris Lusby Taylor used Zillions to help him find new rolling die mazes.  He made a very nice one, which is now at Robert Abbott's site.  You can download see his Zillions program here.  A separate version for Arrow Cube mazes is here.  The following is a maze I built with the latter.  You need to move the cube to the lower right square.  The bottom of the cube points down.  The space underneath points up.  The cube is the same as the one in the arrow cube maze here.

On the subject of rolling blocks, the Hexcite page has a program called Monoopa.  You need to roll a 1x2x3 block around an obstacle course.  The game is ready for the Gameboy or Sony Playstation -- perhaps some maze experts can help Gajin improve the game, or bring it to market.  Hexcite is a game based loosely on Iamonds.  For more computer maze games, there is a site devoted to Chip's ChallengeSodaplay is an applet showing animations of various 2D animals.

Patrick Hamlyn has come up with an insanely difficult puzzle, which I might produce with some sort of prize. I have Patrick's solution for this puzzle locked in my desk.  If I make cubic hexomino sets, they'll come in a cube with the pieces in three colors.  A similar, simpler puzzle with fifteen pieces is the threecolor puzzle (also with assistance from Patrick Hamlyn).  Rearrange the pieces of the image to form another rectangle with no two pieces of the same color touching each other.  No-one has solve that one, so I offer a hint: the whole solution was constructed around X.


Hamlyn's Challenge -- make a 12x18 rectangle so that no two pieces of the same color touch each other.

Has anyone explored the polyforms made with solidly connected coins?  The following diagram shows one way that coins can be stacked.  Imagine another layer with 3 coins on top.  How many different ways can 4 coins be glued together with face to face contact.  Can any interesting figures be made with complete or partial sets of tetracoins?

Erich Friedman's Math Magic asks about optimal packing of squares of two sizes.  Already, several discoveries have been made, perhaps you can add to them.  In his archives, you can see answers to past challenges.

A new site for puzzle boxes is up -- The Karakuri Creation Group.  Outside of  Japan, the best source for puzzle boxes is Cleverwood.  Their links page is quite nice.

An Iamond solver applet has been written by Daniel Elphick.  It solves both hexiamond and heptiamond problems.  You can buy them from Kadon here.

Here's a New York Times article from 1991 -- an interview with Monty Hall about the Monty Hall problem.

Significant discoveries have recently been made with the Heesch Tiling problem.  A configuration with a surround number of 5 can be seen at the Geometry JunkyardMark Thompson also discusses it.  [On Sunday, I mentioned something else, but that was in error].

Ali Muniz has started a page devoted to polyomino covering problems.

Non-mathematical but catchy is the Combo 5 animation, featuring the kitchen staff of Wong Way Chicken.

I came up with a new puzzle for my similar dissections page.  See if you can dissect the following figure into 4 similar shapes.  It was solved by Joseph DeVincentis, Michael Reid, Serhiy Grabarchuk and Carlos Penedo.  Last week's puzzle was solved by Joseph DeVincentis and Stephan Kloder.

Ken Knowlton puts together pictures using dice, dominoes, seashells, and jigsaw puzzle pieces.  Amazing work.

The World Puzzle Federation is looking to add more countries.  If your country isn't listed at their website, please contact them.

Ignacio Ruiz de Conejo solved Steve Stadnicki's problem of dissecting a [4 5 6] triangle to make a [3 8 10].

Roger Phillips and Dylan Thurston have enumerated 62 order-6 Prime Triangles (partitions without subpartitions).  See my Triangle page.  Also, William Watson and Timothy Firman have solved my Integer Triangle problem.  Miroslav Vicher has found all of the order seven prime triangle partitions.


MY  MATH PUZZLE PAGES
  Awards, Book Recommendations, Chaos Tiles, Characteristic Polynomial, ChebyshevU, Chromatic Number of the Plane, Coin Weighing, Complex Numbers, Connecting Dots, Crosswords, Digital Sums, Dissecting Convex Figures, Domino Games, Encryption, Eternity Puzzle, Fair Dice, Gambling Odds, Graphs, Guestbook, Golay Code, Group Theory, Iamonds, Knots, Leapers, Locales, Math Software, Mini-Go, Multistate Mazes, Number Fun, Parity, Partridge Puzzle, Path Problems, Pentagon Tiling, Philosopher Logic, Phonetic Alphabet, Polyominoes, Post a Message, Prize Page, Programs, Repeating Decimals, Retrograde Analysis, Silly Puzzle, Similar Dissections, Superflu, Stability of the Atom, Riemann Hypothesis, Tic Tac Toe, Triangles, WGE123, Word Play, Zome.
Previous Puzzles of the Week    Other Stuff

EXCELLENT SITES (These are fantastic places!)
Puzzle World
MORE SITES
Meffert's Puzzles

All material on this site is copyright 2000 by Ed Pegg Jr.  Can you find the Y2K error on this site?  Copyrights of submitted materials stays with contributor and is used with permission.  visitors since October 29, 1998.