Motley Cube
Art
Rec Math
Six identical sheets to cut out and assemble to make a colorful transparent model of a Motley Cube - a cube dissected into the minimum number of rectangular blocks such that no two blocks are both bounded by the same two parallel planes. In other words, it is delightfully irregular everywhere. This model accompanies the gift exchange paper on Motley Dissections that I am also submitting for the exchange.
G4G13
Scott Kim
public
G13-002
Tensegritiy Pop-up
Art
Rec Math
In each envelope there will be Kenneth Snelson-like tensegrity flattened inside. As you pull it out, it will pop up to a 3D sculpture.
G4G13
Robert Connelly
public
G13-003
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
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
Laser Cut Pythagorean Theorem Puzzle
Puzzle
Rec Math
A laser-cut puzzle that illustrates a proof of Pythagorasâ€™ 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 Pythagorasâ€™ 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
Spectrominoes
Game
Rec Math
This is a paper version of a domino game based on the color addition rules of Al-Jabar designed by Robert Schneider.
G4G13
Ron Taylor
public
G13-028
G4G13 Logo Design
Art
Rec Math
This configuration of thirteen sets of concentric circles grows out of an ancient tradition of visual alchemy. The faculties of imagination and intuition are employed as guides in the discovery of new and meaningful relationships between geometric elements in a plane (on a flat surface). In this particular instance, the task was to discover a pattern representing the number 13 wherein harmonic symmetry is a constant. This configuration of thirteen color-coded circular rings answers this design challenge. Logic is also employed as part strategy in the creation of this pattern; a perfect example of the rich dialogue between right and left hemispheres of the brain. Let us remember that Mandalas are intended as two dimensional re-presentations of (ideally sacred) sounds.
G4G13
Vandorn Hinnant
public
G13-034
A Fair Die of 13 Faces
Art
Rec Math
A cube is used as a fair die of 6 faces. However, there are many dice of different shapes on the market. To make them fair, most of them usually have some symmetric shapes. I classify these variants of dice on the market into two groups. First, let's consider that a sphere as a model of a fair die with infinity faces. Based on this model, many symmetric shapes can be modeled as dice obtained by caving spheres. We also have a familiar fair device; a coin. That is, a fair coin can be seen as a fair die with 2 faces. However, a real coin has a thickness, and hence it is, in fact, an unfair die with 3 faces. From this viewpoint, I propose a way for designing a fair die with n faces for arbitrary n. I also prepare fair dice with 13 faces as an exchange gift of G4G13.
G4G13
Ryuhei Uehara
public
G13-035
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
Postcard and Tiny Piece of Equilateral Tridecagon Tiling
Art
Rec Math
I prepared postcards and tiny pieces of "Equilateral Tridecagon Tiling" for the Gift Exchange.
G4G13
Masaka Iwai
public
G13-044
Cause to Wonder
Rec Math
A lighting fast calculation trick- good for the not brilliant to seem brilliant and the youngster to be motivated to mentally calculate. It will be printed on paper and I will bring it with me.
G4G13
Lina Menna
public
G13-046
How Safe Is It?
Rec Math
Magic
A spectator, with good arithmetical abilities, opens an invisible safe and deposits some invisible coins in it. The magician has the spectator do some arithmetic, receives the final result and then correctly opens the safe and retrieves the correct number of coins, except that the coins are now real!
G4G13
Barney Sperlin
public
G13-051
G4G13 Clock Face
Art
Rec Math
A clock face showing the logo for G4Gn at the nth hour, for n=5-12, and the G4G13 logo in the center, and miscellaneous MG items for hours1-4.
G4G13
Skona Brittain
public
G13-057
Money From Nothing: Or Why the Serial Number Now Appears Twice on Each Piece of Currency
Puzzle
Rec Math
Martin Gardner introduced me to Vanishing Area Paradox Puzzles in Aha! Gotcha! with the Vanishing Leprechaun Puzzle. He explained the paradox by describing an old counterfeiting method. I've learned the method and so I'm going to share it with you. But before you get too excited, you should know that the government has now learned how to thwart this method of making money from nothing, thus the title of the gift. Does that make this gift worthless?
I plan to submit a paper containing a photo of nine $100 bills and your task will be to cut them up and rearrange the pieces to make ten $100 bills. I also will include a copy of the Vanishing Leprechauns, as they appeared in Gotcha! In addition to the paper for the exchange, I also will bring copies of the money paradox for you to cut up.
G4G13
Stuart Moskowitz
public
G13-059
Nontransitive Dice for Three Players
Rec Math
With nontransitive dice you can always pick a dice with a better chance of winning than your opponent. There are well known sets of three or sets of four nontransitive dice. Here we explore designing a set of nontransitive dice that allows the player to beat two opponents at the same time. Three player games have been designed before using seven dice. We introduce an improved three player game using five dice, exploiting a reversing property of some nontransitive dice.
G4G13
James Grime
internal
G13-060
Mental Factoring Cheat Sheet
Rec Math
This is a summary of mental factoring, the essential information condensed into two pages.
G4G13
Richard Schroeppel
Hilarie Orman
public
G13-061
PiTop
Art
Rec Math
Pi is certainly one of the most important numbers in mathematics, physics, engineering and, indeed, in all scientific and even some artistic subjects. I have developed a new object which makes Pi tangible in novel tactile, acoustic and visual ways. The PiTOP is a right circular cylinder made out of brass with ratio of radius r to thickness t equal to pi. Because of this design, when spun the object also precesses (or rolls) for a rather long time, leading to an ever increasing precession frequency as it falls, producing what is sometimes called a "finite time singularity". The resulting sound and interplay of ambient light with the PiTOP is intriguing to the ear and delightful to the eye which also results in a strong "motion after effect" illusion. In this presentation I will talk about the development of the object, and demonstrate its physical and mathematical properties.
G4G13
Kenneth Brecher
internal
G13-065
Poly-Twostors Periodic Table, Catalog of 3D Printer Models
Art
Rec Math
It is a classification of 3D Tori. This catalog consists of 14 page which lists the Poly-Twistor models updated in January 2018.
G4G13
Akio Hizume
public
G13-070
13 Serpentine Symmetries
Art
Rec Math
A full-color printed card showing and explaining Serpentine Symmetries, a beaded jewelry set that illustrates the 13 wallpaper groups compatible with bead crochet rope. Serpentine Symmetries was part of the 2018 Joint Mathematics Meetings Exhibition of Mathematical Art, and is one of many complete symmetry samplers in fiber arts that will appear in my G4G13 talk.
G4G13
Susan Goldstine
public
G13-072
Multimodular Origami: A Truncated Icosahedron
Art
Rec Math
This document contains original diagrams and instructions for making a truncated icosahedron (Buckyball) using hexagon and hexagon/pentagon strip modules designed by the author.
G4G13
Thomas Cooper
public
G13-085
The X-Y Chart
Rec Math
My gift exchange item is called an X-Y Chart. It is a very unique chart of multiplication facts for elementary school students. My friend, Joe Speier, who was concerned about children learning their multiplication facts designed the chart. During a visit with Martin, I shared it with him along with some of Joe's interesting ideas about how children learn multiplication.
Joe Speier
G4G13
Charles Sonenshein
public
G13-088
A Gift of the Number 13 for G4G13
Rec Math
Science
Participants will receive one spruce cone along with instructions on how to read the number 13 in it.
G4G13
Joe DeVincentis
public
G13-094