popopopolo 发表于 2008-5-22 12:31:29

4D Megaminx的构想

本文作者：Roice Nelsonhttp://www.gravitation3d.com/roice/images/music.pngMagic120Cell

Here you'll find a fully functional 120 Cell permutation puzzle, which can be considered the 4-dimensional analogue of Megaminx.
http://www.gravitation3d.com/magic120cell/pics/4D_Megaminx.jpg

This is one example view of it scrambled
(some layers have been cut away).

http://www.gravitation3d.com/magic120cell/pics/scrambled.jpg

This puzzle has an obscene number of parts (2641 pieces with a total of 7560 stickers).  It also has a comically huge number of possible positions (2.3 x 108126).  David Smith calculated this for us and has provided all the digits of this number and a high quality explanation of how he derived it.
http://www.gravitation3d.com/magic120cell/pics/lots_of_stickers.jpgMagic120Cell hasn't been solved yet, but rest assured it is solvable!  Solve any of the available puzzles and you'll be the impetus to create the Magic120Cell Hall of Insanity (sibling of the The MagicCube4D Hall of Fame and The MagicCube5D Hall of Insanity).  And no worries because there are features to help you along your way.  Below are some screenshots showing:- how you can turn sets of cells off to focus on portions of the puzzle (in this case only 3 of 12 cell rings are left displayed).- how you can highlight only certain piece types.  Like the 4-dimensional Rubik analogue, there are pieces with 0, 1, 2, or 3 different colored stickers attached.(These pics show one of the simpler puzzles with repeated colors on cells in the solved state.)


  


http://www.gravitation3d.com/magic120cell/pics/3_rings_1C.jpg1C pieces highlightedhttp://www.gravitation3d.com/magic120cell/pics/3_rings_2C.jpg2C pieces highlighted
http://www.gravitation3d.com/magic120cell/pics/3_rings_2C+3C.jpg2C + 3C pieces highlightedhttp://www.gravitation3d.com/magic120cell/pics/3_rings_4C-2C.jpgOnly 2C pieces not highlighted
If you're going to try to solve the full puzzle (highest difficulty with 120 different cell colors), and I hope you do, here is an indispensable hint to help you distinguish between the large number of colors.  Shift+Ctrl+Click provide piece finding functionality!  (Full info is on the help menu).
There is more to see and discover, so install and take a look around.  I hope you enjoy!

东莞的8 发表于 2008-5-22 12:39:48

这算不上4D,只能说是复杂一点的3D吧:L

gozichen 发表于 2008-5-22 12:46:43

好科幻啊，眼都花了。2641 pieces with a total of 7560 stickers!!

kexin_xiao 发表于 2008-5-22 13:36:10

太另类了，太复杂了，估计实物做出来就是个艺术品！

hzhenr 发表于 2008-5-22 13:42:27

他的样子有点怪，和他的作品一样

加里宁 发表于 2008-5-22 14:06:16

复杂。。。图片的对比度太强了，眼睛疼捏。。。。啊

QQ406263 发表于 2008-5-30 05:37:38

:( :( 看得眼都花了....

kexin_xiao 发表于 2008-5-30 17:24:33

这个作者可以去研究导弹之类的高科技武器，呵呵

宇枫 幽蓝 发表于 2008-5-30 17:26:51

<P>似乎这个很4D了</P>
<P></P>
<P>不过颜色也很好看~~~顶下</P>

oooo 发表于 2008-5-30 19:45:14

我晕 看着好眼花  玩一会我会吐滴
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