Knight mazes are a set of squares on a square lattice upon which a chess knight may move. We examine elements of mazes which can be both attractive and puzzling, and discuss two methods of creating mazes.
Martin Gardner introduced me to Vanishing Area Paradox Puzzles in Aha! Gotcha! with the Vanishing Leprechaun Puzzle. He explained the paradox by describing an old counterfeiting method. I've learned the method and so I'm going to share it with you.…
My contribution to the gift exchange is a 5 X 7 inch, four-color, tri-fold glossy card with photographed imagery of my 11 X 12 X 9 inch multifaceted-portrait-sculpture of Martin Gardner. My painted, kiln-fired, stained glass and…
Space Chips are a versatile building toy. With the same chips you can build 3D shapes that are symmetrical, or you can build 3D characters that are expressive and creative.
A single two sided heavy page detailing some research on linked circles, space numbers and space logic as a physical gift. In addition a downloaded paper on the same subjects with more details.
My submission is an image featuring six cubes that all look like scrambled Rubik's cubes. But only one is. The other five all have some error impossible to find on a traditional cube. Can you suss out which it is and thereby find The Real Rubik's?
My contribution to the gift exchange is stickers hiding clues leading to a mathematical treasure hunt I'm hosting across my blog and a few other spots on the internet. I also have a physical prize for the first person to reach the end.
In 1909, the Lyon Manufacturing Co. of Brooklyn, NY, published a small advertising booklet for Mexican Mustang Liniment. The booklet contained sixteen Sam Loyd puzzles, most signed with Loyd’s name. Most of the puzzles were duplicates or redrawn…
Sudoku Ripeto and Custom Sudoku are the first Sudoku variants with repeated numbers and letters (please visit www.customsudoku.com). As such, they require new solving tricks and techniques.
I am glad to offer an assortment of books featuring…
Bill Gosper shared this problem with me. He calls it the Tax Man Problem. In the province of Peculia Pecunia, you are paid on an annular basis. That is, you get a (unit radius) gold disk from whose center is punched a smaller disk which you donate to…
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…
Applying the planar puzzle mechanism of the Magic Disc puzzle to a three-dimensional form yields an interesting and challenging coordinate motion puzzle.
(1) a description of how to construct Marjorie Rice's "versatile" together with six patches of copies of the tile that will fill the plane by translations.
(2) a sheet with 20 copies of the versatile to copy and cut out in order to…