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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…
4 x 13
The talk corresponding to this paper can be found here: https://www.youtube.com/watch?v=ZijlID83FTg&t=15s
4-gons and 13-gons
A circle sticker with an image of a hyperbolic tiling of 4-gons and 13-gons.
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…
A Figurative Tree
Artwork of a low-resolution figurative tree.
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…
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.
Akio's Dahlia Star Translucent
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.
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…
Chiral Icosahedral Hinge Elastegrity’s Geometry of Motion
The Chiral Icosahedral Hinge Elastegrity resulted from a Bauhaus paper folding exercise, that asks material and structure to dictate form. The key new object obtained in 1982 involved cutting slits into folded pieces of paper and weaving them into 8…
Crocheting Hyperbolic Regular Octagon and Pair of Pants
Giving a little history and step by step instructions on how to crochet regular hyperbolic octagon with 45-degree angles.
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.
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…
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…
Global Maps - Past and Future
Two Lenticular cards from Germany - one shows Pangea the last supercontinent 300 million years ago, and the second card shows the map of the globe in the next Heat Age when all the ice melts. This may result in a net gain in land!
Golden Magic
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…
Golden Magic
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…
Hand of Art Stickers
Two removeable vinyl stickers of the artist's hand.
How to Put This Design on an Egg
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.
