Like I promised, here's the disclosed mechanism of the Clockwork 4x4x4. Logically, it consists of 3 layers.Layer 1
. 2x2x2. More or less standard approach where some elements of 3x3x3 are fused to the spider.Layer 2
. Geared Mixup.
8 corners of 2x2x2 core hold 18 square elements ("face centers" and "edges") and let them slide along 3 circular paths:
File comment: The core (partially disassembled)
ALIM5044.JPG [ 158.79 KiB | Viewed 2337 times ]
File comment: The core (Geared Mixup)
ALIM5045.JPG [ 145.21 KiB | Viewed 2337 times ]
Each of the 18 squares is connected to a 4-teeth gear and upper square elements. When the faces of 2x2x2 are turned, for example, by 90°, it makes 8 gears shift along the circle by 45° and make a half-turn-around, so that the structure actually replicates itself. You may notice that this Geared Mixup core is identical to the Oskar's Geared Mixup
. I don't see any possibility to make it any other way, because only 4-teeth gears can function in 2 crossing directions.Layer 3
Each gear has a 3 times smaller 4-teeth gear on top.
Gear.png [ 49.02 KiB | Viewed 2337 times ]
These smaller gears work in second geared layer. When they are turned, they push 2 middle layers in opposite directions. Like I said, the gears turns by 180° (2 teeth) at each 90°-turn of the outer face, so 3x90° turns of the outer face (single move of the Clockwork 4x4x4 cube) mean 3/2 turn-arounds or gear, that is 6 teeth-shift (45°) of the middle layers with respect to the gears.
File comment: 1 layer
ALIM5049.JPG [ 136.17 KiB | Viewed 2337 times ]
File comment: 2 layers assembled
ALIM5050.JPG [ 115.12 KiB | Viewed 2337 times ]
So, what we have after 3x90° turns of the outer face: middle layers turn by -45° and +45°, the outer faces turn by -135° and +135° (3 times faster) - and there's 90° between all neighbouring layers.
And some more pics:
File comment: Middle layers and the core
ALIM5046.JPG [ 156.17 KiB | Viewed 2337 times ]
File comment: 2 layers + more
ALIM5047.JPG [ 135.55 KiB | Viewed 2337 times ]
File comment: 3 layers assembled
ALIM5048.JPG [ 123.71 KiB | Viewed 2337 times ]
If someone finds it interesting, here's a compilation of sketches that were drawn in development process
workbook.pdf [451.86 KiB]
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