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13 Serpentine Symmetries
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…
Sculptural Martin Gardner
My contribution to the gift exchange is a 5 X 7 inch, four-color, tri-fold glossy card with photographed imagery of my 11 X 12 X 9 inch multifaceted-portrait-sculpture of Martin Gardner. My painted, kiln-fired, stained glass and…
Poly-Twostors Periodic Table, Catalog of 3D Printer Models
It is a classification of 3D Tori. This catalog consists of 14 page which lists the Poly-Twistor models updated in January 2018.
PiTop
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.…
Ace of Spades
My gift is an Ace of Spades personalized with a unique image that combines the G4G logo together with a symbolic representation of Panamanian culture.
Waking Up a Student and Seeing Nobody
Martin Gardner suggested the best way to wake up a student and Lewis Carroll woke up many students with his book Alice's Adventures in Wonderland.
Our gift, a microfiber cloth, presents some of Martin Gardner's and Lewis Carroll's words together…
Our gift, a microfiber cloth, presents some of Martin Gardner's and Lewis Carroll's words together…
G4G13 Clock Face
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.
4-gons and 13-gons
A circle sticker with an image of a hyperbolic tiling of 4-gons and 13-gons.
The 13-Zone System
A zometool-based geometrical model/puzzle based on the 13-zone system, i.e., 3 blue lines, 4 yellow lines and 6 green lines, which are associated with the face centers, vertices and edge centers of the cube.
Postcard and Tiny Piece of Equilateral Tridecagon Tiling
I prepared postcards and tiny pieces of "Equilateral Tridecagon Tiling" for the Gift Exchange.
Martin Gardner Portrait Maze
Illustration and maze design by Elizabeth Carpenter.
Catalan Solid Net for further play
The included piece will be a decorated deltoidal icositetrahedron net, which can be colored and subsequently cut and assembled. Alternatively, those with a cutting machine can cut the closed regions on each face of the polyhedron to obtain an…
Geometry in Five-Dimensions: Building Quasicrystals from Penrose Tiling
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…
A Fair Die of 13 Faces
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…
G4G13 Logo Design
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…
Tridecahedron Net
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…
The Missing 13th
A diecut construction model. Assemble it to discover the missing 13th piece.
Spiram Siderum
A craft kit with all parts needed to crate a tiny kinetic sculpture based on the physics of equilibrium, magnetic force, and angular momentum.
Tensegritiy Pop-up
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.
Motley Cube
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…
Sakura Pythagorean Tree
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…
Winning Ways HexaFlexagon
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 –…
Elwyn Berlekamp: Sept 6 1940 – Apr 9 2019
Richard Guy – Sept 30 1916 – Mar 9 2020
John Horton Conway: Dec 26 1937 –…
Penrose P3
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…
Abstract Photograph - Acura TL
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…
The 14 Two-Color Frieze Symmetries in Mosaic Knitting
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…