魔方吧·中文魔方俱乐部

标题: Clockwork 4x4x4 Cube by Timur [打印本页]

作者: grigr 时间: 2012-11-13 10:51:37 标题: Clockwork 4x4x4 Cube by Timur

This puzzle is a 4x4x4 cube with geared bandaging where all layers turn simultaneously, but with different speeds. If we consider bottom layer fixed, lower middle layer will turn with speed A, upper middle layer - with the speed 2A, and top layer - with speed 3A. A single move is finished when the layers have turned by 1/4 turn, 2/4 turn and 3/4 turn, respectively. So the principle is similar to Bram and Oskar's Geary Cube (3x3x3), but the mechanism is vastly more complex.

I dreamed to build this puzzle ever since I've made the Clockwork Master Pyraminx. Because it's not really comfortable to play with the latter (you have to turn a corner 7 times around to finish a turn), the main and firm requirement for Clockwork 4x4x4 Cube was minimum turning job - only 270° outer layer's turn had to be made for one move, so that all layers turn by 90° with respect to its neighbors.

Throughout a year or so I made three or four attempts to develop the mechanism, but always failed. Each time I felt that I'm close to the solution, I would discover some conflict ruining the whole idea. Still I was sure that it's possible and it became a challenge to myself. Meanwhile, I worked with other projects, but never forgot about the 4x4x4 cube.

Finally, it cracked and I'm glad that it works decently from the first prototype. The mechanism contains 156 3D-printed parts, 21 screws and 18 nuts (nuts could actually be omitted). I think it's the most complex thing I've designed (Emperor Pyraminx goes next ). The mechanism will be revealed in one of my next posts.

Can anyone calculate the number of possible states of this puzzle? I guess it's smaller than that of a normal 4x4x4 cube, right?

Video
http://player.youku.com/player.php/sid/XNDc0NDE4MzY0.swf

附件: ALIM5053.jpg (2012-11-13 10:50:04, 32.49 KB) / 下载次数 262
http://www.mf8-china.com/forum.php?mod=attachment&aid=MTk2NTc0fDRhN2VjOTNmfDE3NjE5NzA5NjZ8MHww

附件: ALIM5057.jpg (2012-11-13 10:50:00, 32.78 KB) / 下载次数 240
http://www.mf8-china.com/forum.php?mod=attachment&aid=MTk2NTczfGQ1M2UxMWJkfDE3NjE5NzA5NjZ8MHww

附件: ALIM5052.jpg (2012-11-13 10:49:58, 32.61 KB) / 下载次数 246
http://www.mf8-china.com/forum.php?mod=attachment&aid=MTk2NTcyfDlkMDAyMjk0fDE3NjE5NzA5NjZ8MHww

附件: ALIM5051.jpg (2012-11-13 10:49:55, 32.27 KB) / 下载次数 249
http://www.mf8-china.com/forum.php?mod=attachment&aid=MTk2NTcxfGMzYzRkNTMxfDE3NjE5NzA5NjZ8MHww

附件: ALIM5054.jpg (2012-11-13 10:49:53, 37.14 KB) / 下载次数 255
http://www.mf8-china.com/forum.php?mod=attachment&aid=MTk2NTcwfDcxZmRhOTUxfDE3NjE5NzA5NjZ8MHww

作者: happyangel888 时间: 2012-11-13 11:08:33

内部齿轮结构？

作者: Fenz 时间: 2012-11-13 12:12:54

Works like 3×3×3 gear. But more difficult, because it can twist 270° instead of 180°.
Just a layer more. I never noticed that it will increase so many gears inside.
It's a grate work!

作者: 海上晴天 时间: 2012-11-13 12:25:45

an eye-opener

作者: 深蓝Dam 时间: 2012-11-13 12:26:05

这是不是可以理解成齿轮四阶呀

作者: Zyoung 时间: 2012-11-13 12:31:05

the puzzle is amazing~
you are so cute too

作者: Jersey 时间: 2012-11-13 12:51:28

好特别，很有趣！

作者: DillanChiu 时间: 2012-11-13 14:12:45

The freedom of this cube is smaller than that of a normal 4x4x4 cube.

作者: 花无缺0228 时间: 2012-11-14 02:08:55

看不出有什么蹊跷，看着就是四阶，

作者: 方方正正 时间: 2012-11-14 05:10:58

Awsome work！I guess people would like to discover the solution of this 4x4x4 cube cause the number of change maybe much smaller than normal 4x4x4 cube.

作者: Deadrat 时间: 2012-11-14 07:26:30

求翻译

作者: 榕城之蓝 时间: 2012-11-14 18:46:45

很强的设计和制作！支持！

作者: grigr 时间: 2012-11-21 00:58:04

puzzle insaide

附件: ALIM5047.jpg (2012-11-21 00:57:22, 26.84 KB) / 下载次数 126
http://www.mf8-china.com/forum.php?mod=attachment&aid=MTk3NDIyfDg3Y2ExMTMzfDE3NjE5NzA5NjZ8MHww

附件: ALIM5050.jpg (2012-11-21 00:57:19, 27.45 KB) / 下载次数 112
http://www.mf8-china.com/forum.php?mod=attachment&aid=MTk3NDIxfDJmMzRlMDgxfDE3NjE5NzA5NjZ8MHww

附件: ALIM5049.jpg (2012-11-21 00:57:16, 29.09 KB) / 下载次数 131
http://www.mf8-china.com/forum.php?mod=attachment&aid=MTk3NDIwfGQzYjYzYTk2fDE3NjE5NzA5NjZ8MHww

附件: ALIM5045.jpg (2012-11-21 00:57:13, 24.67 KB) / 下载次数 140
http://www.mf8-china.com/forum.php?mod=attachment&aid=MTk3NDE5fDI2MGQ2MDU3fDE3NjE5NzA5NjZ8MHww

附件: ALIM5044.jpg (2012-11-21 00:57:10, 28.01 KB) / 下载次数 137
http://www.mf8-china.com/forum.php?mod=attachment&aid=MTk3NDE4fDJkZWVhODlmfDE3NjE5NzA5NjZ8MHww

附件: ALIM5048.jpg (2012-11-21 00:57:07, 27.8 KB) / 下载次数 125
http://www.mf8-china.com/forum.php?mod=attachment&aid=MTk3NDE3fGUxZGMyMjcwfDE3NjE5NzA5NjZ8MHww

作者: Fenz 时间: 2012-11-21 09:51:01

grigr 发表于 2012-11-21 00:58
puzzle insaide

How beautiful！
I want a 3D Printer too.

作者: oyh 时间: 2012-11-22 20:39:11

i like this！！it's like 4x4x4 Gear cube！

作者: 天方魔 时间: 2012-11-22 21:11:53

虽然对内部结构不清楚，但是看着挺有创意的。

作者: xd07514 时间: 2012-11-22 21:51:43

I want to know about the corner-cutting
If you rotate middle lower layer 4 degrees
middle upper layer rotates 8 degrees
top layer rotates 12 degrees
then you do ''R''
can corner cutting be worked?

作者: Fenz 时间: 2012-11-22 22:21:19

xd07514 发表于 2012-11-22 21:51
I want to know about the corner-cutting
If you rotate middle lower layer 4 degrees
middle upper la ...

You should do a "R'3" instead of "R".

And what does the corner cutting mean?

作者: Fenz 时间: 2012-11-22 22:41:58

花无缺0228 发表于 2012-11-14 02:08
看不出有什么蹊跷，看着就是四阶，

如果你转个U，顶层会转90°，从上往下第二层会转60°，第三层转30°，就跟齿轮三阶一样

作者: grigr 时间: 2012-11-23 02:01:30

本帖最后由 grigr 于 2012-11-23 02:04 编辑

xd07514 发表于 2012-11-22 21:51
I want to know about the corner-cutting
If you rotate middle lower layer 4 degrees
middle upper la ...

YES-YES.
this is possible

作者: 橙橙不酸 时间: 2012-11-23 09:11:28

外部还真看不出差别，看视频才发现不同，齿轮四阶···好奇特

作者: 可馨宝贝 时间: 2012-11-23 09:54:59

GOOD......

作者: 花无缺0228 时间: 2012-11-30 11:31:04

Fenz 发表于 2012-11-22 22:41
如果你转个U，顶层会转90°，从上往下第二层会转60°，第三层转30°，就跟齿轮三阶一样

看着结构好复杂！真难想象……

作者: haoyifan0123 时间: 2012-11-30 12:58:12

齿轮结构。。鉴定完毕

欢迎光临魔方吧·中文魔方俱乐部 (http://www.mf8-china.com/)