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Puzzle Classics at G4G7 -- Solutions

Puzzle History
Solutions shown below were found by the authors of the respective puzzles, unless otherwise is stated. For some challenges there can be more than one solution. Write us if you can improve any of the shown results.
Puzzleland Gingerbread
Three solutions to the three challenges of Loyd’s Puzzleland Gingerbread puzzle are shown below.
 

The solution by Sam Loyd to Challenge 1.
 
 

The solution by Martin Gardner
to Challenge 2.

The solution by Serhiy Grabarchuk
to Challenge 3.
 
A Card Puzzle
The original solution to Challenge 1, and solutions to Challenges 2 and 3 are shown in the illustrations below.
 

The original solution to Hoffmann's Card puzzle as it appeared in his book Puzzles Old & New, at left; its reconstruction, at right.
 
 

The solution to Challenge 2.

The solution to Challenge 3.
 
Out of the Y
A 2-matchstick solution to the classic Olive & Glass matchstick puzzle, and a 5-move solution to the Out of the Y coin puzzle are shown below.
 

2-matchstick solution to the Olive & Glass puzzle.
 
 

5-move solution by Serhiy Grabarchuk, Jr. to the Out of the Y puzzle.
 
Classic Tangram
The solutions to the four proposed shapes assembled of all the seven pieces of the classic Tangram each are shown below.

The four shapes assembled using all the seven pieces of the classic Tangram each time.
 
The Tangramboard
The solutions to the four proposed shapes assembled of all the seven pieces of the Tangramboard each are shown below.
 

The four shapes assembled using all the seven pieces of the Tangramboard each time.
 
The Contour Tangram
The solutions to the four proposed shapes assembled of all the seven pieces of the Contour Tangram each are shown below.
 

The four shapes assembled using all the seven pieces of the Contour Tangram each time.
 
Tangram Battleship
The diagram below shows exact positions of all the seven Tangram ships on the board.
 

The solution to the Tangram Battleship challenge.
 
Tangram Packing
The 3D diagram below shows the exact positions of all the seven Tangram pieces in the chain placed within a 2x2x2 cube. The asterisk (*) shows the contact of two end triangles where the chain is closed in a loop.
 

The Tangram Chain running within a 2x2x2 cube.
 
TanFrames: Squaring
The diagrams below show how all the seven Tangram pieces form six fully closed square outlines.
 

All the seven Tangram pieces can form six square outlines.
 
Uniline Tangram: T-Unicursal
How to form the unicursal T-shape using all the seven pieces of the classic Tangram is shown in the diagrams below.
 

The unicursal Tangram T-shape, at left; how to draw it with one line, at right.
 
The Diamond Puzzle
The solutions to the original square and four proposed shapes assembled of all the ten pieces of the Diamond Puzzle each, and a small square assembled of four pieces of the puzzle are shown below.
 
             

The original square assembled of all the ten pieces of the Diamond Puzzle.
 
 

The four shapes assembled using all the ten pieces of the Diamond Puzzle each time.
 
 

A small square assembled of a subset of four pieces of the Diamond Puzzle.
 
Martha's Vineyard
During the Ukrainian puzzle championship mentioned in the article, a maximal known solution with 46 vines (see the diagram below) was discovered independently by several solvers from Russia and Ukraine: Olga Leontieva, Andrey German, Andrey Khodulyov, Mikhail Khotiner, Alexei Chaplyun, and Anton Volchyk. Bear in mind that vines are considered as mathematical points, and in the diagram they are enlarged in order to show the solution clearly.
 

46-vine solution to Loyd’s “Martha’s Vineyard” puzzle.
 
The Two Ovals-to-Table Story
Three solutions to the three challenges of the Two Ovals-to-Table puzzle are shown below.
 

8-piece solution by John Jackson, 1821.
 
 

6-piece solution by Sam Loyd, 1901.
 
 

5-piece solution by Serhiy Grabarchuk, 2004.
 

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Last Updated: December 3, 2009
Posted: May 28, 2006
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