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.
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 the seven types of wallpaper patterns achievable with itajime shibori.
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.
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.
The 14 Two-Color Frieze Symmetries in Mosaic Knitting
Creator
Contributor
Susan Goldstine
Carolyn Yackel
Subject
Art
Recreational Math
Description
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 pattern designer. Carolyn Yackel and I have researched the impact of these constraints on the symmetries of knitting patterns, culminating in a classification of the color-swapping symmetry groups possible in mosaic knitting.
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 involves moving the center of the image to the outside and moving the edges of the image to the center. For some source images, the result is a pleasing abstract that doesn’t immediately resemble the source but which contains recognizable elements of the original when you look closely.
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 minor redefinition of polyomino).
]]>https://g4gexchangearchive.omeka.net/items/show/1045
Elwyn Berlekamp: Sept 6 1940 – Apr 9 2019
Richard Guy – Sept 30 1916 – Mar 9 2020
John Horton Conway: Dec 26 1937 – Apr 11 2020
All three were friends with Martin and were regulars at the Gathering. Their legacies are grand, and their presence will all be missed.]]>2023-02-26T21:03:53-05:00
Source
G4G14
Title
Winning Ways HexaFlexagon
Creator
Contributor
Sean Graves
Subject
Puzzle
Art
Toy
Description
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 – Apr 11 2020
All three were friends with Martin and were regulars at the Gathering. Their legacies are grand, and their presence will all be missed.