Two turns in a deeper than origin puzzle that is totally doctrinaire.

• Inventor: Ian Henriksen
• Mechanism: Doctrinaire axis system with fractional angles (Prism)
• Patents: Unknown
• Producer: Customly 3D printed
• Year: 2023
• Original Price: $0.00 USD
• Current Price: No Data

This is the Galaxy Biaxe. It has two turns. One with turns in steps of 120� and one with steps of 90�. If it is considered as deeper-than-origin it turns out as a doctrinaire puzzle.
The inventor found it while looking at puzzles with a 3-way symmetric axis and a 4-way symmetric axis (like Timur's Bygride). The angles and cut depths are dramatically different on this one and he had to fudge it very slightly to get it to work. The result is something that has one turn that resembles the turn on a Trapentrix and another turn that resembles the turn on a Biaxe. The petal pieces twist either slightly clockwise or counterclockwise. There are 11 samples of each type. It's named after a group of starfish which are called a "galaxy" in English.

The puzzle has 64530712350720000000000 = 64.5*10^23 permutations if all pieces are considered distinguishable. Due to the limited number of moves it has a huge number of restrictions:
-The edges can't be flipped.
-The orientation of the last pentagon is determined by the other four.
-The triangles are split into two sets.
-The permutation of each set of triangles is always even.
-The orientation of the square piece and the permutation of the edges and pentagons have the same parity.
Stickered as shown here the puzzle has 44812994688000000 = 44.8 *10^15 permutations.

Printed with Elegoo PLA+ on my Anycubic Kobra Neo, modded with an upgraded cooling fan to help with the overhangs.
Size: 61 x 75 x 75 mm
Weight: 149 grams

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