Video: https://www.youtube.com/watch?v=rPHlY3ExgLc
The Triskelion Barrel is another entry in my group theory showcase, this time expressing the PSL₃(3) group over the 13 equilateral triangle pieces. The circles are divided into synchronized sets (marked with red, green, and blue diamond stickers) that turn simultaneously in 180° increments.
I geared the circles together with an external ring gear. Spinning a colored ring causes the corresponding circles to rotate. The mechanism is assembled using a 3D printed kit of axles, bevel gears, and metal pins assembled in layers.
The top and bottom are covered by clear plexiglass plates. This makes an alternate simplified sticker scheme possible: the “petal” stickers are stuck to the fixed plexiglass so only the triangle pieces beneath need to be solved.
Stats
- Weight: 225 g
- Diameter: 90 mm
- Height: 65 mm
- Reachable positions (full): 698,720,256
- God’s number (full): 36
- Reachable positions (simplified): 5,616
- God’s number (simplified): 17
Video
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