Back from the Klondike This is one of Sam Loyd's most famous puzzles, first printed in the
New York Journal and Advertiser, April 24, 1898 (as far as available evidence indicates). Loyd's original instructions were to: Start from that heart in the center and go three steps in a straight line in any one of the eight directions, north, south, east or west, or on the
bias, as the ladies say, northeast, northwest, southeast or southwest. When you have gone three steps in a straight line, you will reach a square with a number on it, which indicates the second day's journey, as many steps as it tells, in a straight line in any of the eight directions. From this new point when reached, march on again according to the number indicated, and continue on, following the requirements of the numbers reached, until you come upon a square with a number which will carry you just one step beyond the border, when you are supposed to be out of the woods and can holler all you want, as you will have solved the puzzle.
Vanishing puzzles A
vanishing puzzle is a mechanical optical illusion showing different numbers of a certain object when parts of the puzzle are moved around. File:the_disappearing_bicyclist_vanishing_puzzle.svg|thumb|upright|left|link=|Interactive SVG of
The Disappearing Bicyclist – in [ the SVG file,] move the pointer to rotate the disc Loyd patented rotary vanishing puzzles in 1896 and published versions named
Get Off the Earth,
Teddy and the Lion and
The Disappearing Bicyclist (pictured). Each had a circular card connected to a cardboard backdrop with a pin, letting it rotate. In
the Disappearing Bicyclist, when the disc is rotated such that the arrow points to A, 13 boys can be seen. When rotated so that the arrow points to B, only 12 boys appear.
Vanishing area puzzle A square with a side length of 8 units ("chessboard") is dissected into four pieces, which can be assembled into a 5x13 rectangle. Since the area of the square is 64 units but the area of the rectangle is 65 units, this seems paradoxical at first. It is just an optical illusion, however, as the pieces don't fit exactly to form a rectangle, but leave a small barely visible gap along the diagonal. This puzzle is also known as the
chessboard paradox or
paradox of Loyd and Schlömilch.
Trick Donkeys problem One of Loyd's notable puzzles was the "Trick Donkeys". It was based on a similar puzzle involving dogs published in 1857. In the problem, the solver must cut the drawing along the dotted lines and rearrange the three pieces so that the riders appear to be riding the donkeys. ==Works by Sam Loyd==