G4G13 Latin Square Puzzles
Puzzle
Rec Math
A small collection of Latin square themed puzzles created in honor of the G4G13 conference.
G4G13
David Nacin
public
G13-041
Mechanical Gift
Puzzle
I have gifted an assortment of laser cut acrylic kits of simple mechanisms, including locks, engines, and other such mechanical devices. These were originally designed as physical diagrams for a book project, but are now being produced for sale. Details at http://mechanicalgifs.com.
G4G13
Theodore Gray
public
G13-038
A Flexier Hexaflexagon
Puzzle
This is a standard trihexaflexagon with some extra crease lines. Cut it out and fold it up in the usual way, using tape or glue, adding the extra creases. The new degrees of freedom allow the hexaflexagon to swim along itself like Escher's fish, as demonstrated three-quarters of the way through my short video "Flexagon Secrets Revealed 1" at
https://www.youtube.com/watch?v=bVJcEJ4vx8U
(see 03:20 and beyond). Would this move work with a rigid network, or does it hinge (pun intended) on subtle properties of physical paper? I don't know!
G4G13
Jim Propp
public
G13-036
Tridecahedron Net
Puzzle
Art
This net is similar to those in my 'Cubes and Things' 3D coloring books, where I use playful patterns to accent symmetries of polyhedra. By truncating one vertex of a dodecahedron, it becomes a tridecahedron. (Do you think truncating all the corners would reveal G4G twenty times?)
The theme of 13 is repeated in the sets of joined circles, which were inspired by this year's Gathering 4 Gardner Logo. There are 4 slightly different sets of 13 dots, each in its own color. 4 vertices have 3 circles of 3 different colors meeting. Those 2 sets of 4 vertices mark how 2 tetrahedra could fit into the shape or they can be seen as the 8 vertices of a cube. The 6 large colored areas were accented to also show the orientation of a cube in this shape.
G4G13
Stacy Speyer
public
G13-033
Marjorie Rice's "Versatile"
Puzzle
Two pages
(1) a description of how to construct Marjorie Rice's "versatile" together with six patches of copies of the tile that will fill the plane by translations.
(2) a sheet with 20 copies of the versatile to copy and cut out in order to discover other ways that the pentagon can tile the plane
Marjorie Rice
G4G13
Doris Schattschneider
internal
G13-032
The High Energy Particle Psychics's Puzzle
Puzzle
Noted high energy particle psychic Fermi Geller is conducting a study of detox particles in his lab. He has successfully generated 13 new particles of Woo-ium in his reactor, but he needs to move the particles into the numerologically stable resonance of the number 13. Can you help him move the particles into the proper alignment?
G4G13
James Stephens
public
G13-030
The Bandaged Cube
Puzzle
An analysis and solution offered in tribute to Professor Erno Rubik and Professor David Singmaster for the 13th Gathering for Martin Gardner.
G4G13
Joseph Cassavaugh
public
G13-029
Laser Cut Pythagorean Theorem Puzzle
Puzzle
Rec Math
A laser-cut puzzle that illustrates a proof of Pythagoras’ theorem. The puzzle pieces either fit in 2 squares aXa and bXb, or in a hypotenuse square cXc. The shapes in the puzzle are taken from a known proof of Pythagoras’ theorem. To my surprise the puzzle turns out to fairly difficult, often taking people about a minute to solve.
G4G13
Gerard Westendorp
public
G13-027
Pentomino Divination Runes
Puzzle
Magic
A small bag containing twelve square tiles, each with a different pentomino marked on it. Instructions for use in divination are included, along with a set of puzzles using the runes.
G4G13
Alexandre Muñiz
public
G13-026
The Missing 13th
Puzzle
Art
A diecut construction model. Assemble it to discover the missing 13th piece.
G4G13
Roger Gilbertson
internal
G13-025
A Lucky Dissection
Puzzle
A dissection puzzle involving the characters G413.
G4G13
Ben Chaffin
public
G13-024
Balance of Power
Puzzle
Arrange the three pieces to create a figure with an axis of symmetry.
G4G13
Rod Bogart
public
G13-023
Adalogical Enigmas
Puzzle
G4G13
Pavel Curtis
G13-022
A Sliding Block Puzzle App
Puzzle
The app is no longer functional
G4G13
Duane Bailey
Daniel Yu
internal
G13-021
12...N Polygons for Plane Tiling
Puzzle
Rec Math
I made pentagons of edges whose lengths are 1,2,3,4 and 5 in order and can be tiled the flat infinitive plane. And also hexagons of 1,2,3,4,5,6 edge length. A set of a few of them is my exchange puzzle.
G4G13
Yoshiyuki Kotani
public
G13-019
1 to 8 Squared
Puzzle
Rec Math
A polyomino packing puzzle with 8 pieces ranging in size from 1 to 8. The main goal is to create a 6x6 square. Further goal shapes (and solutions) can be found on https://www.jaapsch.net/g4g/g4g13.htm
G4G13
Jaap Scherphuis
public
G13-018
Knotted Bracelet
Puzzle
Toy
Science
A hand-made rubber bracelet in the form of a trefoil knot. It is a mathematical curiosity, a puzzle, an impossible object, and a piece of nerdy jewelry.
G4G13
George Hart
Elisabeth Heathfield
public
G13-016
The Icosian Game
Puzzle
Game
A game created by Sir William Rowan Hamilton. A traveler must visit 20 cities without revisiting any of them.
William Rowan Hamilton
G4G13
Eoin Gill
public
G13-013
The Elusive 13 Piece Complete Set Puzzle
Puzzle
Thirteen is an odd number of pieces for a complete set puzzle. I found one such set and created a puzzle using it.
G4G13
Peter Knoppers
public
G13-012
Quandong Seeds Puzzle
Puzzle
Toy
A simple puzzle made using Quandong (desert peach) seeds. Quandongs can be found throughout the arid areas of Central Australia and are an important food source for people and native fauna such as emu.
G4G13
Belinda Keir
public
G13-011
A Collection of Match Stick Puzzles
Puzzle
Game
Every week at my School's math club, we have one puzzle to solve based around match sticks. My gift exchange item will consist of a small booklet containing 21 match stick puzzles ( in honor of Martin Gardner being born on the 21st of October), as well as a collection of match sticks to solve the puzzles with. The match sticks will have the ends cut off so that there is no danger of fire.
G4G13
Nathan Gaby
public
G13-010
Make a Maze
Puzzle
G4G13
Stewart Coffin
"Internal
Confirm Permission & description/info:
stcmsd@aol.com"
G13-009
Lucky 13
Puzzle
13 beautiful puzzles of 13 different tiles each with 13 amazing solutions, all designed by Michael Dowle, and an introduction to the "Cookie Jar" puzzle Kadon Enterprises, Inc., is publishing of one of the 13 styles, having its world premiere at G4G13. Fascinating mathematics in artistic form.
G4G13
Michael Dowle
Kate Jones
public
G13-008
Loyd Polyominoes Puzzle
Puzzle
A puzzle of eight acrylic shapes which can be put together to form any one of the twelve pentominoes or the five tetrominoes. The discovery of this eight piece set is described in the paper "Development of the Loyd Polyominoes Puzzle" in the G4G13 Conference Book.
G4G13
Donald Bell
public
G13-007
Latice Maze Puzzle
Puzzle
It’s a lattice-maze puzzle invented by Frank Worrell that I’m calling DoubleCrossed Squares. (Its old name was Lattice 2).
G4G13
Stanley Isaacs
Frank Worrell, Eric Fuller
public
G13-005