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1 to 8 Squared
A polyomino packing puzzle with 8 pieces ranging in size from 1 to 8. The main goal is to create a 6x6 square. Further goal shapes (and solutions) can be found on https://www.jaapsch.net/g4g/g4g13.htm
12...N Polygons for Plane Tiling
I made pentagons of edges whose lengths are 1,2,3,4 and 5 in order and can be tiled the flat infinitive plane. And also hexagons of 1,2,3,4,5,6 edge length. A set of a few of them is my exchange puzzle.
14 Blocks
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.
14 Rabbiducks
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…
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.
15^2-rep-tile of F polyomino
I provide 15^2-rep-tile in new packing found in 2022. They are made by MDF and acrylic.
3and3
This physical exchange puzzle includes a hexagonal frame, along with three triangles and three squares that are to be fit inside the frame. NOTE: this puzzle was intended for exchange in 2020, but is included now because I was unable to attend until…
3d Printed Hexaflexagon
A simple flexagon that's a great pocket fidget toy too.
With permission from designer: whpthomas at thingiverse.com
With permission from designer: whpthomas at thingiverse.com
4!-Fold Puzzle
Are there any polycubes that can be unfolded into exactly a rectangle? This problem was solved in 2019. The smallest solution forms a nice puzzle — fold the rectangle into a polycube!
A Collection of Match Stick Puzzles
Every week at my School's math club, we have one puzzle to solve based around match sticks. My gift exchange item will consist of a small booklet containing 21 match stick puzzles ( in honor of Martin Gardner being born on the 21st of October), as…
A Collection of Puzzles
I will prepare a small booklet of puzzles that relate to numbers, colors, and networks.
A Fifteen Fun Properties of Jeu de Taquin
The French name for the Fifteen Puzzle is "Jeu de Taquin". The generalization by Schützenberger to Young tableaux has many amazing properties, and important applications in combinatorics, representation theory and algebraic geometry.
A Flexier Hexaflexagon
This is a standard trihexaflexagon with some extra crease lines. Cut it out and fold it up in the usual way, using tape or glue, adding the extra creases. The new degrees of freedom allow the hexaflexagon to swim along itself like Escher's fish, as…
A G4G14 Puzzle
This is a paper ring with a number puzzle. The hint is actually the logo that is at the beginning (which of course will be right after the end when it's a ring).
A Lucky Dissection
A dissection puzzle involving the characters G413.
A Sliding Block Puzzle App
The app is no longer functional
A Torus Without Diagonals
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…
A Version of the 15 Puzzle
One version of the famous 15 Puzzle (on which the G4G15 logo is based), that Martin Gardner described on the pages of Scientific American (1957).
Antimatter Mazes
You are trapped in a maze with antimatter! Your goal is to escape the maze without creating an enormous explosion.
Balance of Power
Arrange the three pieces to create a figure with an axis of symmetry.
Big Knot Variation
Burr puzzle designed by Oskar van Deventer (used with permission). For G4G14, this 14-piece puzzle felt appropriate. Contrary to the name of the puzzle, these exchange puzzles are in fact rather small.
Bucolic Cube
3 identical pieces (except for color) that can be put together to form a 3cm cube. A surprisingly difficult puzzle designed by Yasuhiro Hashimoto.
Buttonhole Puzzle
Small stick with loop of string through one end. Small enough to fit in a snack size Ziploc baggie with an information card.
Can the Number of Pieces in a Rectangular Jigsaw Puzzle be a Multiple of the Number of Edge Pieces
This paper deals with the math associated with the number of edge pieces in rectangular jigsaw puzzles.