Browse Items (56 total)

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Zebra-G14-015-1.jpg
Zebra stripe IBM binary card.

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-WinningWays-G14-058-1.jpg
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 –…

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https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Jigsaw-G14-028-1.jpg
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…

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https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Path-G14-047-1.jpg
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…

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https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Veternary-G14-016-1.jpg
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.

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Troxes-G14-020-1.jpg
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…

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https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Carpet-G14-052-1.jpg
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?

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Straw-G14-038-1.jpg
Re-usable straws in a little keychain-round container with G4G logo (from 2021 conference that was postponed) on it.

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https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-MartianMayor-G14-001-1.jpg
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…

ExchangeArchive-BlockRoll-G14-003-1.jpg
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!

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Destroy-G14-054-1.jpg
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.

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Accountant-G14-046-1.jpg
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

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Mosaic-G14-040-1.jpg
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…

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-StarHex-G14-042-1.jpg
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.…

ExchangeArchive-SierpinskiTetra-G14-012-4.jpg
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…

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Shibori-G14-011-1.jpg
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…

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https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Sakura-G14-064-1.jpg
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…

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https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Reptile-G14-053-1.jpg
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.

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-QFnomogram-G14-067-1.jpg
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…

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Menu-G14-039-1.jpg
A puzzle hunt hidden inside an 8-page pamphlet.

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Postcard-G14-062-1.jpg
Postcard from Public Math with thought provoking questions.

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Polarizing-G14-022-1.jpg
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…

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https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Tetraflexagon-G14-049-2.jpg
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…

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Maze-G14-018-1.jpg
Full color original art maze card of an Angel seeking peace.

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https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Palindromes-G14-024-1.jpg
Sudoku with some added rules. This puzzle can only be solved in conjunction with the gift "Entropy" by Neil Calkin.
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