Get Off The Earth Optical Illusion

Stephanie Jones mailed me this awesome flick! Let’s make her describe it herself: “Hi! I really enjoy your site, and when I came across this in my lecturer’s blog, I thought I’d better send it in to you. It looks like another version of the Leprechauns illusion you have. One of the most popular puzzles ever created was the Get Off the Earth puzzle, invented by American’s premier puzzlist, Sam Loyd, in 1898. Over ten million copies of the puzzle were produced.

The puzzle shows a number of Chinese warriors around the rim of a circular piece of cardboard fastened at the center to a larger piece of cardboard so it can be turned. Part of each warrior is inside the circle and part is outside. When the disk is rotated from its initial position to its second position, one warrior disappears! The challenge is to explain how this “disappearing act” works.

Well, there never were 13 Chinamen. There were many parts of Chinamen, arms, legs, bodies, heads, and swords. And each had tiny slivers missing. Then when the Earth was rotated, these pieces were slightly rearranged. In particular, each of the 12 Chinamen gained a sliver of a Chinaman from his neighbor. For example, at the lower left, there are two Chinamen next to each other. The top one is missing a foot. When the Earth is rotated, he gains a foot from his neighbor on the right. That neighbor gains two feet (he lost one) and one small piece of a leg, etc.

This is a particularly good example of a vanishing puzzle. See The Extra Square, which is a vanishing puzzle in reverse. You can download the graphic below or the higher resolution file getoffearth.pdf Print on lightweight card stock. Cut out the second figure of the two figures. Place the disk so that the arrow points N.E. and count the warriors. Then turn the disk so that arrow points NW and count again.

31 Replies to “Get Off The Earth Optical Illusion”

  1. This is amazing, very clever. It took a little time to figure it out but once I did it was all so simple……I love this site….keep them coming.

  2. i saw another one like this where there are 11 soccer players and it comes in 4 quarters.then on top the 2 quarters swith places and it makes another player by taking parts from the other players. This is even better.it is amaizing stuff. Whoever takes the time to make these things must have Lots of evtra time on their hands.

  3. Great!, is very original, i am glad that someone took the time to design it.
    but what about the message…?

  4. okay, so at the top part of the puzzle (middle piece) each left half gradually becomes more of the half of a warrior (20%, 30%, 40%, and so on…) so when it moves back to the N.W. part one on the warriors doesn’t need as much of another half leaving one piece open with just a slightly noticeably smaller leg.

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