Fox, goose and bag of beans puzzle

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The fox, goose and puzzle bean bag is a jigsaw puzzle of the river. It dates back to at least the 9th century, and has entered folklore from a number of ethnic groups.

Video Fox, goose and bag of beans puzzle

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At one time a farmer went to the market and bought a fox, a goose, and a bag of peanuts. On the way home, the farmer came to the river bank and rented a boat. But crossing the river by boat, the farmer can only carry his own and one purchase: a fox, a swan, or a bag of nuts.

If left together, the fox will feed on the goose, or the goose will eat nuts.

The farmer's challenge is to bring himself and his purchases to the far bank, leaving every purchase intact. How did he do it?

Maps Fox, goose and bag of beans puzzle

Solution

The first step is to take a goose across the river, because the others will produce swans or beans that are eaten. When the breeder returns to his original side, he has the option of taking the next fox or pea. If he brings foxes across, he must return to get the beans, producing foxes feeding on the goose. If she takes the second bean, she has to go back to get the fox, producing the swan that the goose sucks. This dilemma is solved by taking fox (or peanuts) over and bringing back goose . Now he can pick up peanuts (or foxes), and finally come back to pick up swans.

Its actions in the solution are summarized in the following steps:

1. Take Goose over
2. Go back
3. Take the beans on top
4. Returning to swan
5. Bring up the fox
6. Go back
7. Take the Swan up

So there are seven crossings, four forward and three back.

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Events and variations

The puzzle is one of a number of river crossing puzzles, where the object is to move a set of items across a river that is subject to various restrictions.

At the beginning of the known problem, in the medieval text Propositiones ad Acuendos Juvenes , the three objects are wolves, goats, and cabbage. Other cosmetic variations of the puzzle also exist, such as: wolves, sheep, and cabbage, ^{, p.Ã, 26} foxes, chickens, and grains; foxes, geese and corn; and panther, pork, and porridge. The logic of the puzzle, in which there are three objects, A , B , and C , such that either A and B or B and C can be left together, remains the same.

This puzzle has been found in African-American folklore, Cameroon, Cape Verde Islands, Denmark, Ethiopia, Ghana, Italy, Romania, Russia, Scotland, Sudan, Uganda, Zambia and Zimbabwe. ^{, p. Ã,26-27;} It has been indexed H506.3 in the people's literary motion index Stith Thompson, and ATU 1579 in the Aarne-Thompson classification system.

Puzzles are a favorite of Lewis Carroll, and have been reprinted in various collections of recreational math. ^{, p.Ã, 26.}

In his memoirs of 'Arabian Nights', Meeting with Extraordinary People , metaphysical Magus, G. I. Gurdjieff quotes this puzzle as "Wolves, goats and cabbages". He noted, "This popular puzzle clearly shows that... Not merely by the ingenuity that every normal person should have, but in addition he must not be lazy or avoid his power but must cross the extra river for his goal. "

Variations of the puzzles also appear in Nintendo DS Professor Layton and Curious Village games, and in the episode The Simpsons "Gone Maggie Gone", where Homer has to cross it. a river with Maggie, Santa's Little Helper, and a bottle of rat poison that looks like candy. In the Westley Side Story episode of "Westley Side Story" episode, Sunny and her students do a similar exercise involving chickens, coyotes and a sack of maize. The Between the Lions episode "Farmer Ken's Puzzle" describes it being made into a computer game.

In parts of Africa, variations of the puzzle have been found where boats can carry two objects, not just one. When the puzzle weakens in this way it is possible to introduce additional constraints that no two items, including A and C , can be left together. ^{, p.., 27.}

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See also

• Missionaries and cannibal issues
• Transport puzzle

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References

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External links

• Goats, Cabbages and Wolves Java Simulation
• Goats, Cabbages, and Wolves A Simulation Without Java required

Source of the article : Wikipedia