Browse Items (59 total)

https://www.gathering4gardner.org/g4g13gift/ExchangeArchive-Cloaking-G13-040-1.jpg
No-one really knows what quasicrystals look like. But we do know, from the diffraction patterns of X-ray crystallography, that they bear a resemblance to Penrose tiling. By combining artistic exploration with mathematical insight into the…

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https://www.gathering4gardner.org/g4g13gift/ExchangeArchive-Die13-G13-035-1.jpg
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…

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https://www.gathering4gardner.org/g4g13gift/ExchangeArchive-MagicCircles-G13-034-1.jpg
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…

https://www.gathering4gardner.org/g4g13gift/ExchangeArchive-Tridecahedron-G13-033-1.jpg
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…

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https://www.gathering4gardner.org/g4g13gift/ExchangeArchive-Spiram-G13-015-1.jpg
A craft kit with all parts needed to crate a tiny kinetic sculpture based on the physics of equilibrium, magnetic force, and angular momentum.

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https://www.gathering4gardner.org/g4g13gift/ExchangeArchive-PopUp-G13-003-1.jpg
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.

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https://www.gathering4gardner.org/g4g13gift/ExchangeArchive-MotleyCube-G13-002-1.jpg
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…

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https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Sakura-G14-064-1.jpg
Inspired by the Pythagorean Tree in a plane, I stitched the Sakura Pythagorean Tree on a temari ball of diameter 58 cm. This Pythagorean tree has order five and begins with a square of side 5 cm. Upon the first square I constructed two squares to…

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https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-WinningWays-G14-058-1.jpg
Sadly, all within 13 months of each other, the three authors of the iconic book Winning Ways for Your Mathematical Plays passed away.

Elwyn Berlekamp: Sept 6 1940 – Apr 9 2019
Richard Guy – Sept 30 1916 – Mar 9 2020
John Horton Conway: Dec 26 1937 –…

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https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Tetraflexagon-G14-049-2.jpg
I am making paper flexagons with Penrose patterns on them to illustrate the patterns. My stuff touches three things from Martin Gardner, Flexagons, Penrose Tiles, and Polyominos (the classification system for tetraflexagons is based on these with a…

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Acura-G14-048-1.jpg
One of my interests is abstract photography, using ordinary photographs as the “paint” and using spatial and mathematical transformations to create an image from one or more sources. One transformation that I’ve been exploring is “Inside Out”, which…

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Mosaic-G14-040-1.jpg
Mosaic knitting, a relatively new form of two-color knitting, has become popular because it is easier for the knitter than most traditional forms of color work. The price of this ease is an unusual set of restrictions on color placement for the…

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-AkiosStar-G14-023-1.jpg
I invented the Fibonacci Turbine in an origami way. The wing itself functions as a rotating shaft. The structure is so simple that it is robust. It can be used for many engineering applications.

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https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-HandSticker-G14-019-1.jpg
Two removeable vinyl stickers of the artist's hand.

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https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Veternary-G14-016-1.jpg
An animal based who-is-who in which with the right three questions any animal becomes uniquely identified using a ternary "sieve". For the first 16 animals this also works in binary.

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Shibori-G14-011-1.jpg
In anticipation of G4G14, I undertook the mathematical art project of using itajime shibori to dye hundreds of handkerchiefs so that each participant could receive a unique such handkerchief in his or her gift bag. The handkerchiefs represent six of…

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https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Egg-G14-002-1.jpg
I have made a full-color, two-sided instruction sheet on how to draw the attached design on an egg, along with a laminated picture of one of my eggs that has adhesive on the back to become a sticker.

ExchangeArchive-GoldenMagic-G13-110-1.jpg
My artwork, 'Golden Magic', especially created for G4G13 conference is dedicated to four remarkable men: Martin Gardner, Raymond M. Smullyan, Tom Rogers, and Al Seckel. Rich in golden mean proportions the composition consists of 13 elements placed…
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