Browse Items (56 total)

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-QuestionCards-G14-030-1.jpg
COVID sometimes gives in unexpected ways. Had G4G14 had taken place March 25 - 29, 2020, my exchange gift would have been a packet of four cards with StoryCorps® Great Questions for Great Conversations and a fifth card with a puzzle.

On account of…

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https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-DiceLab-G14-031-1.jpg
A fair 14-sided die in the form of a heptagonal trapezohedron and a fair 8-sided die ("Skew d8") in the form of a triangular dihedron.

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-MGmagictrick-G14-032-1.jpg
We, on behalf of ThinkFun, would like to submit a physical gift based on a personal letter sent from Martin Gardner to one of our founders, Bill Ritchie, in 1994. We will submit photocopies of the letter, which describes how to perform the magic…

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-FlippeTop-G14-035-1.jpg
This document describes how I designed a new kind of top, which flips not just once, but over and over. I call it a "flippe top". It can be made either from wood or by 3D printing.

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Golomb-G14-036-1.jpg
A perfect ruler for daily use. In mathematics, a Golomb ruler is a set of marks at integer positions along a ruler such that no two pairs of marks are the same distance apart.

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-Menu-G14-039-1.jpg
A puzzle hunt hidden inside an 8-page pamphlet.

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-GuessOMatic-G14-041-1.pdf
This DIY paper-engineered magic trick performs an astonishing feat of mentalism thanks to a bit of secret mathematics.

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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.…

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Rhombus-G14-043-1.jpg
In one package: the strip of triangles and brochure for this new flexagon. The colorfully illustrated brochure will include folding directions, flexing directions, and images of the different possible faces.

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-14Blocks-G14-044-1.jpg
All you have to do is move the large 2x2 block to the bottom right hand corner by sliding the blocks. Do not lift, turn or twist any block.

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https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Torus-G14-045-1.jpg
Cut-and-fold a polyhedron with 7 vertices, 14 faces, 21 edges, and a hole through it like a doughnut. A cube has internal diagonals that connect the diametrically opposite corners. By contrast, this polyhedron has no internal diagonals. There are…

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-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-Acura-G14-048-1.jpg
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…

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-PickACard-G14-050-1.jpg
A card (roughly the size of an index card) with an image that contains 54 playing cards (some duplicates, of course!). A spectator chooses one of the playing cards and, after a few questions, the magician reveals the choice!

The premise is similar…

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-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-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-Rabbiduck-G14-055-1.jpg
The puzzle is to fit 14 “rabbiduck” polyomino pieces into an 8x11 rectangle. (Gardner wrote about polyominoes in multiple columns. The specific polyomino pieces used are inspired by the rabbit/duck illusion that Gardner called the Rabbitduck in his…

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-LewisCaroll-G14-056-1.jpg
Lewis Carroll, the nom de plume of the Rev. Charles L. Dodgson, a mathematics lecturer at Oxford, was also an innovator in recreational mathematics, magic, puzzles, cryptography, and inventions. His appearances in Scientific American began with…

https://www.gathering4gardner.org/g4g14gift/ExchangeArchive-Crossword-G14-057-1.jpg
A one-page puzzle with attached solution will be provided, including the instructions for this variant and the clues and grid.

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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