Nine Linked Rings

Nine consecutive rings is a traditional Chinese folk intellectual toy made of nine rings made of metal wire, which are set on a horizontal board or various frames with a ring handle.

Introduction of the toy:

Nine consecutive rings is a kind of traditional folk intellectual toys circulating in Shanxi Province, it is connected with nine rings into a string to unravel the victory, according to the Ming Dynasty, Yang Shen "DanLead General Records," records, was made of jade as a material for the two interlocking rings, and then replaced the jade with copper or iron, and became the toys of women and children, in China almost 2,000 years. It has a history of almost 2,000 years in China.

History of the nine consecutive rings:

The legend of the nine consecutive rings originated from the ancient Chinese traditional folklore, one said that it was invented in the Warring States period, the other said that it was invented in the Three Kingdoms period, but it can be confirmed that it is nine consecutive rings is the record of the Ming Dynasty Yang Shen's "General Record of Dan and Lead", and the famous writer of the Warring States period, Huishi, who had made a "consecutive rings can be solved", and the "Strategies of the Warring States", Volume XIII, which mentioned the Jade Consecutive Rings.

In the West before the 16th century, Europe has a record of nine consecutive rings, nine consecutive rings at any time, has a symbol of wisdom, in ancient times, for people, nine consecutive rings is not a toy, but represents the symbol of wisdom.

Nine consecutive rings solution:

In accordance with the order:

Nine consecutive rings is in accordance with an order to solve the nine consecutive rings, nine consecutive rings are very popular, in various forms, the production of wire made of round small ring of nine, nine rings are connected to the set in the bar-shaped horizontal boards or various frames, in accordance with the law so that all nine rings are coherent sub-bronze ring, or through the wearing of a sleeve. All unraveled, need to go through 81 times up and down in order to be connected to the nine rings set into a column, and then 341 times in order to unravel all nine rings.

Disassembling principle:

As long as on or under a ring even one step, not sliding on the frame, the nine consecutive rings of the unlocking and the set is a pair of inverse process, the solution and the computer's Gray code is the same principle, the nine consecutive rings of each ring with each other, only the first ring is able to go up and down freely, unlocking the nine consecutive rings in essence from the back of the ring to start with the next, and first under the front of the ring, in order to go under the back of the ring. The first ring is for the next ring.

The front ring has to be put on, it is not really taken down, that is to say, to solve the N rings, it is to solve a N-2 ring, then solve the last ring, then on the N-2 ring, then solve the N-1 ring, to solve the first ring needs 1 step, to solve the second ring needs 1 step, it can be seen that, to solve the third ring needs 4 steps, to solve the fourth ring needs 7 steps, to solve the fifth ring needs 16 steps, and so on.