Zebra Stripe Card
Recreational Math
Zebra stripe IBM binary card.
G4G14
John E. Miller
G14-015
Winning Ways HexaFlexagon
Puzzle
Art
Toy
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.
G4G14
Sean Graves
G14-058
Warped-Grid Jig-Saw Puzzle
Puzzle
With a laser-cutter, it is easy to make one-of-a-kind jigsaw puzzles. The question then is what pattern of cuts to use. Here is a gallery of some experiments I have been making in which the cut pattern is based on a warped grid. A pseudorandom grid-based dissection of an underlying rectangular array is distorted to give engaging visual effects.
G4G14
George Hart
G14-028
Walk a Crooked Path
Puzzle
Game
In this puzzle you must find the most crooked path on a board made of squares. Each square is visited at most once, but you need not visit all squares. Your path goes from square to adjacent square, and should have as many 90-degree turns as possible.
G4G14
Jaap Scherphuis
G14-047
Veternary - Magic Trick
Game
Art
Mathematical Magic
Recreational Math
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.
Tiago Hirth
G4G14
Ines Amaro
Illistrations & Design: Ines Amaro
G14-016
Troxes
Puzzle
Like Origami meets Lego. No scissors, tape, or glue. This modular paper cutout is based on triangular geometry and mates with neighbors (edge-connecting) to create tetrahedra, octohedra, and icosahedra. The resulting polyhedra can then mate once again in their volumetric form by face-connecting with other polyhedra.
Troxes were inspired by Jef Raskin's Bloxes, a cardboard architecture exploration. Troxes in contrast are hand-held, created from a beautiful single ply paper called Plike, and promote non-rectilinear spatial exploration and awareness.
Troxes have won numerous awards at Maker Faires and been featured at the MIT Museum, New Museum and MoMath in NYC amongst other top art and design institutions.
G4G14
Jonathan Bobrow
G14-020
Traveling Through the Sierpinski Carpet and Menger Sponge
Puzzle
Recreational Math
An ant wants to travel from one corner of the Sierpinski carpet to the opposite corner using the shortest possible route. And his friend, a termite, wants to do the same in the Menger sponge. Can you guide them well?
G4G14
Derek Smith
G14-052
Travel Straws
Toy
Re-usable straws in a little keychain-round container with G4G logo (from 2021 conference that was postponed) on it.
G4G14
Delicia Kamins
G14-038
The Martian Mayor Problem
Recreational Math
The Martian Mayor Problem looks at designing square modular networks which create Euclidean distances between modules. The catch is that there are a limited number of tunnels (connections) between modules. This is a mostly open problem as far as I know.
G4G14
T. Arthur Terlep
G14-001
The Decaflop Rolling Block Puzzle
Puzzle
This is a rolling block puzzle. Roll the block from the start location to the end location. Avoid the obstacles in your path, and don't roll the block over its beveled edge. It will take some decaflops to get to the finish!
James W. Stephens
G14-003
The Art of Destroying Flexagons
Puzzle
Toy
Recreational Math
Destroying flexagons can be fun and artistic! We suggest 4 different ways to artistically destroy flexagons, each with its own merit. Our exchange gift is a set of 4 flexagons strips, one for each demonstration and the attached explanation sheet.
G4G14
Yossi Elran
G14-054
The Accountant
Recreational Math
Legacy
Martin Gardner would sometimes wrap puzzles inside stories he concocted, such as with the book “The Numerology of Dr. Matrix.” The following puts my favorite puzzle in that tradition: The Accountant
by Barney Sperlin
G4G14
Barney Sperlin
G14-046
The 14 Two-Color Frieze Symmetries in Mosaic Knitting
Art
Recreational Math
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.
G4G14
Susan Goldstine
Carolyn Yackel
G14-040
StarHex-14: Theo Geerinck's 14 Polystars
Puzzle
Recreational Math
14 tiles consisting of hexagons with 0 to 6 equilateral triangles attached on their edges can be cut from card stock provided to solve the large collection of puzzle figures presented. Five colors, each tile shape is unique with one mirror pair. Rules for two strategy games for two players are included.
This is the printed version of StarHex-I that I make in lasercut acrylic sold on the Kadon website, <a href="http://www.gamepuzzles.com/tiling2.htm#SH14" target="_blank" rel="noreferrer noopener">www.gamepuzzles.com/tiling2.htm#SH14</a>
G4G14
Kate Jones
G14-042
Sierpinski Tetrahedron
Art
Recreational Math
A 3D-printed copy of the 5th-level (i.e., 1024 tetrahedrons) approximation of the Sierpinski Tetrahedron.
Please enjoy the beautiful shadows under sunshine.
In particular, this object has projections with positive measure and the shadow contains an openset from some directions.
Such direction is characterized as follows.
Let A, B, C, D be the images of the four vertices and let x and y be AB = x AC + y AD.
The shadow has a positive Lebesgue measure if and only if x and y are rationals of the form p/q for odd numbers p and q.
G4G14
Hideki Tsuiki
G14-012
Shibori Dyed Hankerchiefs
Art
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.
G4G14
Carolyn Yackel
Bobby Stecher
G14-011
Sakura Pythagorean Tree
Art
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 depict the Pythagorean theorem, and from there I continued recursively. Each square is scaled down by a linear factor of about 0.7.
G4G14
Marcela Chioresw
G14-064
Rep-Tile Tangram
Puzzle
Recreational Math
The gift will be a number of cut-out pages to create a rep-tile tangram: A tangram shape that is made from tangram shapes, that are made from tangram shapes.
G4G14
Sabine Segre
G14-053
Quadratic Formula Nomograph
Recreational Math
This is a cute graphical computing device which finds the roots of a quadratic polynomial. Stretch the (included) string between two scales representing the coefficients of the polynomial, and it tells you the roots! This device is based on an original 1915 design by E.T. Whittaker.
ET Whittaker
G4G14
Chris Staecker
G14-067
Puzzle Menu
Puzzle
Recreational Math
A puzzle hunt hidden inside an 8-page pamphlet.
Bill Chang
G4G14
Nick Baxter
G14-039
Public Math Postcards
Recreational Math
Postcard from Public Math with thought provoking questions.
G4G14
Molly Daley
G14-062
Polarizing Puzzle
Puzzle
Two rectangular sheets that filter light according to polarization- with a twist. Rotating the two sheets ninety degrees with respect to each other results in all light blocked as expected, but flipping over a sheet also gives a similar result. Does this imply new physics? Reconciling this unexpected behavior is the problem left to the reader.
G4G14
Raymond Hall
G14-022
Penrose P3
Puzzle
Art
Recreational Math
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).
See demostration: <a href="https://youtube.com/shorts/HUFKLH3Igqo">https://youtube.com/shorts/HUFKLH3Igqo</a>
R2D3 Designs R2D3 Deseigns
G4G14
Red Deupree
G14-049
Peace Angel Maze Card
Game
Full color original art maze card of an Angel seeking peace.
G4G14
Elizabeth Carpenter
G14-018
Palindromes
Puzzle
Sudoku with some added rules. This puzzle can only be solved in conjunction with the gift "Entropy" by Neil Calkin.
G4G14
Eliza Gallagher
G14-024