Beaded Necklaces
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Necklace
A necklace is an article of clothing or jewelry; which is worn around the neck. Necklaces are frequently formed from a metal chain; often attached to a locket or pendant. Necklaces can also be manufactured with cloth, and they sometimes contain rocks (particularly gems), wood, and/or shells.
A necklace worn high on the neck is a choker.
Many Christians wear a cross or crucifix on a necklace.
the Affair of the diamond necklace
bracelet
choker
omega chain
Category:Neckwear Category:Jewellery
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A necklace sometimes refers to necklacing, a form of execution in which a rubber tire, filled with kerosene, is forced around a victim's chest and arms and set on fire.
de:Halskette
Necklacing
Necklacing refers to the practice of execution carried out by forcing a rubber tire, filled with gasoline, around a victim's chest and arms, and setting it on fire. The practice became common during South Africa's national liberation struggle off the 1980s and 1990s. Necklacing sentences were sometimes handed down against alleged criminals by "people's courts" established in black townships after residents had lost confidence in the apartheid judicial system. Necklacing was also used to punish offenders, including children, alleged to be traitors to the liberation movement as well as their relatives and associates. The African National Congress (ANC) condemned the practice, although it was frequently carried out in the name of the ANC. http://www.hrw.org/reports/1991/southafrica1/6.htm
More recently, it has been used by vandals and protestors as a method of damaging speed cameras.
Necklace Problem
''Moreau's necklace-counting function treats a problem that is not only recreational.''
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The necklace problem is a problem in recreational mathematics, solved in the early 21st century.
Suppose that a person you are in contact with has a necklace of ''n'' beads, each of which is either black or white. You wish to identify in what order the n beads go around the necklace. However, you are only given partial information. At stage ''k'' you are told, for each set of ''k'' beads, their relative location around the necklace. .
The question is: given ''n'', how many stages you will have to go through in order to be able to distinguish any different necklaces?
Alon, Caro, Krasikov and Roditty showed that 1 + log2(''n'') is sufficient, using a cleverly enhanced inclusion-exclusion principle.
Radcliffe and Scott showed that if n is prime, 3 is sufficient, and for any n, 9 times the number of prime factors of n is sufficient.
Pebody showed that for any ''n'', 6 is sufficient.
Category:recreational mathematics
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Beaded Necklaces
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Beaded Necklaces
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