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Welcome to the game that will make your brain work really hard! At the same time, it is a very relaxing and even meditative puzzle. There are twisted ropes in front of you and, as you have already understood from the name of the game, you are here to become a Tangle Master. There is only one way you can do that – untangle all the ropes! Free them from the knots and make sure that you make the right moves at every moment – the ropes can get untangled at one area and then tangled in the other one.

angle bells, tangle bells, TANGLE ALL THE WAY!

This version includes:

Christmas special event: TANGLE ALL THE WAY!

- Join the event

- Beat 10 Levels

- Win exclusive rewards

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In mathematics, a tangle is generally one of two related concepts:

• In John Conway's definition, an n-tangle is a proper embedding of the disjoint union of n arcs into a 3-ball; the embedding must send the endpoints of the arcs to 2n marked points on the ball's boundary.

The balance of this article discusses Conway's sense of tangles; for the link theory sense, see that article.

Two n-tangles are considered equivalent if there is an ambient isotopy of one tangle to the other keeping the boundary of the 3-ball fixed. Tangle theory can be considered analogous to knot theory except instead of closed loops we use strings whose ends are nailed down. See also braid theory.

#### Tangle diagrams

Without loss of generality, consider the marked points on the 3-ball boundary to lie on a great circle. The tangle can be arranged to be in general position with respect to the projection onto the flat disc bounded by the great circle. The projection then gives us a tangle diagram, where we make note of over and undercrossings as with knot diagrams.

Tangles often show up as tangle diagrams in knot or link diagrams and can be used as building blocks for link diagrams, e.g. pretzel links.

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