The 3rd installment of the Mystic Series, a series of face turning hexagonal dipyramids, jumbling only puzzles.

• Inventor: Matt Galla
• Mechanism: Jumbling only axis system (face turning hexagonal dipyramid)
• Patents: Unknown
• Producer: 3D printing service
• Year: 2019
• Original Price: $0.00 USD
• Current Price: No Data

The Mystic Urn is the third puzzle in the Mystic Series, a puzzle series that is entirely focused on the geometry of the hexagonal dipyramid. Each Mystic Puzzle introduces at least one piecetype that the previous puzzle did not have. The Mystic Urn implements the first 6 piecetypes (excluding the core).
The other puzzles in the series are at the point of its presentation:
Mystic Puzzle 1: Mystic Stone
Mystic Puzzle 2: Mystic Charm
Mystic Puzzle 3: Mystic Urn
Mystic Puzzle 4: Mystic Totem (Hexcopter 12D)

The Mystic Urn is a jumbling puzzle. It has 14 faces and 14 different colours. Notice that the stickers on corresponding faces across the different Mystic Puzzles are the same colour.
There are 73 pieces in the Mystic Charm, including the core. There are 7 different piecetypes, only one of which is new relative to the Mystic Charm. There is only a small window of opportunity for the Mystic Urn to exist between the Mystic Charm and Mystic Totem, so this design was heavily constrained by the natural geometry. It would be quite difficult to design a puzzle with a drastically different exterior shape that still remains equivalent to the Mystic Urn.

This constrained geometry caused an unexpected problem in the design. While the surface cuts of the puzzle exist in Mystic Urn territory, the feet of the outer pieces just under the surface must exist at a deeper depth and in fact, the inventor was forced to dip the design into Mystic Totem territory. This means that technically, the mechanism layer just under the surface is jumbling as a Mystic Totem and not as a Mystic Urn, and in particular, piectype D blocks more grips once it extends into Mystic Totem territory, meaning that some moves that should be available on the Mystic Urn will actually catch on the mechanism just under the surface of the puzzle. Fortunately, this problem can be remedied by "unbandaging" the offending mechanism in the Mystic Totem territory so that it behaves as it did back in the Mystic Urn territory.

Each of the 12 grips can reach 5 different jumbling stops, including the position they start in. These stops are approximately at 104.5�, 151.0�, 209.0�, and 255.5�, in addition to the natural stop at 0�. These angles can be expressed precisely as �acos(-1/4) and �acos(-7/8). This puzzle implements the first 3 layers of jumbling.

Worth noting is new piectype F, which was a very risky piece to design as it has a very small mechanism foot and sticks far outside of the puzzle. Please refer to image 7.

The prototype was funded by Brandon Enright, and the stickers were provided by Oliver's Stickers.

Height: 95 mm
Diameter: 70 mm

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