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Twiddler - Double Dilemma
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Two intersecting circles. Comes with an additional pieces to determine the solved configuration.

This is one of the many puzzles with intersecting circles on a plane. Twiddler is special as it does not come in a case. This allows the pieces to fall out if held incorrectly. It also allows the player to determine the solved configuration because all tiles are interchangeable. The puzzle comes with 66 pieces although only 29 are needed for the puzzle. Accessory sets are available which introduce multi-coloured pieces and fused pieces to create a series of bandaged puzzles.
Double Dilemma is the variant with two circles.

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