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Echidnahedron Puzzle
This is a 12-piece puzzle assembling to form the final stellation of the regular icosahedron, a spiky shape also known as the echidnahedron.
Chirality of Flexagons
A chiral flexagons with a secret message
Inspiration Cloth
Microfiber cloth (6" x 7") Useful and Inspirational Microfiber cloth (blue front, gray background with red and orange depiction of the Coronavirus).
Blachman-Nancy-GiftExchange-InspirationCloth-G4G15 1-29-2024 Please use the most recent PDF and not…
Blachman-Nancy-GiftExchange-InspirationCloth-G4G15 1-29-2024 Please use the most recent PDF and not…
Infinity Cube
A very small infinity cube with acrylic 2-way mirrors on the inside, with a hole for inserting a light source. Comes as a kit: 6 laser cut squares with finger joints and a small keychain light.
Sixties Sculpture
This will be a make it yourself sculpture kit.
Martin Gardner Randomly Generated Celtic Knot
This is a physical item, but the item is a piece of paper. My Celtic knot generator will create 200 unique randomly generated knots, that all spell out Martin Gardner's name. I will provide a printout of the rendered knot and the instructions on how…
Elevating Tessellations into Three Dimensions: Approximating Geodesic Domes
Elevating tessellations to act as nets for geodesic domes have many applications in structural engineering, math, and synthetic biology. In this paper I describe a net and a 3D version of a heptagon-containing polyhedra, as well as sphericity…
The Hat Flexagon
The hat flexagon, inspired by the recent discovery of the hat monotile
Creation of Seamless Symmetric Patterns
Computer simulation of complex dynamical system is used to create seamless symmetric patterns
Digits of Pi DVD
A DVD of the 3 m 14 s long film Digits of Pi
Circo Mathematico Deck of Cards
For it's decade of existence the Circo Matemático (mathematical circus), a autonome group of popularisers of mathematics part of the Ludus Association, designed a deck of cards.
The poker-sized cards (63x88 mm) are COPAG 310 quality, slimline, with…
The poker-sized cards (63x88 mm) are COPAG 310 quality, slimline, with…
Space Filling Fidget
This is a 3D printed space filling curve cased on the Gosper curve. It is surprisingly flexible and invertible. I originally printed it for a tactile experience with a space filling curve, but my colleagues loved it so much I thought it would be a…
Penta-decahedron Net (not quite a zonohedron)
2 paper nets for this polyhedron composed of 15 faces, with 2 different face types.
Four Paper Projects
My gift has four cardstock patterns for you to assemble at home: band trefoil, stella octangula, excavated dodecahedron and the fourteenth stellation of icosahedron. I'll bring a printout or cutout copy of the first three projects as well.
Nested Fidget Square
A small telescoping toy that is both visually and tactilily satisfying to keep hands busy while the mind is otherwise occupied.
The Smith Map
This map was designed by a ten-year-old Math Circle participant, Aurie Smith, in a course that studied the Four-Color Theorem, Martin Gardner, and the McGregor Map. Smith challenges people to completely color the map in four colors, to determine…
Coffee Stirrer Structures and HyperTiles
Easy and inexpensive geometric frames (of truncated cubes or dodecahedra, for example) can be constructed from coffee stirrers and twist ties. These can be used to hang from the ceiling or to dip in soapy water. When one such frame, tetrahedral in…
15D G4G
Build your own Zometool shadow projected from a 15-dimensional hyper-cubic lattice.
“Say No To Mathematically Impossible Street Signs” Badge
Matt Parker is running a campaign to pressure the UK government into fixing the geometry of its street signs. This is a set of “Say No To Mathematically Impossible Street Signs” badges to raise awareness of this pressing issue.
Hiding in Plain Sight: Secret Messages in Vyshyvanka Embroidery
Vyshyvanka is an embroidered Ukrainian shirt. Each region has its own traditions for vyshyvanka colors and designs. The artists who cross-stitch their vyshyvankas often hide names or inspirational messages in their creations. The paper will invite…
The Thirty Color Cubes Problem
My exchange gift will provide information on the 30 Color Cubes Problem. I expect to include materials relevant to making a set of these cubes, e.g., folding paper cubes, color stickers, labels, etc.
15 Mathemagics for G4G15 - In Between Magic and Topology
This paper presents 15 vignettes, each designed to evoke both mathematics and magic. We end with a super-generalization of the Chefalo Rope Trick and the insight that 15 = 3 x 5 = 1x1 + 1 x 1 + 2 x 2 + 3 x 3.
The Wonderful World of Women in Math
1 or 2 descriptions of the work of women mathematicians and an accompanying lesson outline for use with students. This will possibly be accompanied by original digital artwork related to the women and/or their work.
Creative Constructionist Collage Making
Have you wondered how you can make a collage? I've provided you with a kit, soup to nuts, to make a beautiful collage without using messy glue or tape. I'll also share directions so you can share this.