魔方吧·中文魔方俱乐部

标题: grigorusha Four-Color Cube [打印本页]

作者: grigr 时间: 2015-2-2 03:25:45 标题: grigorusha Four-Color Cube

本帖最后由 grigr 于 2015-2-2 03:35 编辑

I present new Stickers-MOD: Four-Color Cube

Many people know the famous mathematics the four color theorem. Any map in a plane or sphere can be colored using four-colors in such a way that regions sharing a common boundary (other than a single point) do not share the same color.
https://en.wikipedia.org/wiki/Four_color_theorem , http://mathworld.wolfram.com/Four-ColorTheorem.html

I found the pattern for coloring any cube in 4 colors to these rules. We received a very complex mathematical puzzle. if you want to solve it, you do not know the final pattern, but you know the rules of placement!

very similar puzzles: Sudoku, Qubami, Krenol, Respect cubes

Video Youku: http://v.youku.com/v_show/id_XODg0NTg2MzQ0.html
http://player.youku.com/player.php/sid/XODg0NTg2MzQ0/v.swf

Scrambled

附件: DSCF3318.JPG (2015-2-2 03:25:35, 69.45 KB) / 下载次数 147
http://www.mf8-china.com/forum.php?mod=attachment&aid=MjQ4NDQyfDY3MWVkZGFjfDE3NDY3MDkwMDV8MHww

附件: DSCF3317.JPG (2015-2-2 03:25:33, 77.2 KB) / 下载次数 163
http://www.mf8-china.com/forum.php?mod=attachment&aid=MjQ4NDQxfGRhNGFmNjE4fDE3NDY3MDkwMDV8MHww

附件: DSCF3322.JPG (2015-2-2 03:28:23, 81.72 KB) / 下载次数 134
http://www.mf8-china.com/forum.php?mod=attachment&aid=MjQ4NDQ0fDMxOTY5MmQ2fDE3NDY3MDkwMDV8MHww

附件: DSCF3321.JPG (2015-2-2 03:28:21, 80.34 KB) / 下载次数 155
http://www.mf8-china.com/forum.php?mod=attachment&aid=MjQ4NDQzfGZhYzQ2NjkxfDE3NDY3MDkwMDV8MHww

作者: grigr 时间: 2015-2-2 03:29:02

another maps from the WEB

World_map_with_four_colours.svg.png

附件: World_map_with_four_colours.svg.png (2015-2-2 03:29:39, 90.94 KB) / 下载次数 132
http://www.mf8-china.com/forum.php?mod=attachment&aid=MjQ4NDQ3fDlkNzA2ZDI5fDE3NDY3MDkwMDV8MHww

附件: AprilFourColoring_900.gif (2015-2-2 03:29:38, 20.3 KB) / 下载次数 138
http://www.mf8-china.com/forum.php?mod=attachment&aid=MjQ4NDQ2fDMyY2U0NWFhfDE3NDY3MDkwMDV8MHww

附件: 220px-Four_Colour_Map_Example.svg.png (2015-2-2 03:29:36, 19.33 KB) / 下载次数 130
http://www.mf8-china.com/forum.php?mod=attachment&aid=MjQ4NDQ1fDYxMjA4MDY0fDE3NDY3MDkwMDV8MHww

作者: grigr 时间: 2015-2-2 03:30:10

本帖最后由 grigr 于 2015-2-2 03:31 编辑

all patterns

2*2

3*3

4*4

5*5

附件: 4с-52.png (2015-2-2 03:31:11, 294.31 KB) / 下载次数 122
http://www.mf8-china.com/forum.php?mod=attachment&aid=MjQ4NDU1fDI2NmE4YmM0fDE3NDY3MDkwMDV8MHww

附件: 4с-51.png (2015-2-2 03:31:08, 287.46 KB) / 下载次数 128
http://www.mf8-china.com/forum.php?mod=attachment&aid=MjQ4NDU0fDkzMTU5YTIzfDE3NDY3MDkwMDV8MHww

附件: 4с-42.png (2015-2-2 03:31:00, 273.72 KB) / 下载次数 126
http://www.mf8-china.com/forum.php?mod=attachment&aid=MjQ4NDUzfDhjMDllMjQzfDE3NDY3MDkwMDV8MHww

附件: 4с-41.png (2015-2-2 03:30:52, 273.85 KB) / 下载次数 121
http://www.mf8-china.com/forum.php?mod=attachment&aid=MjQ4NDUyfDUxZDAzNzZkfDE3NDY3MDkwMDV8MHww

附件: 4с-32.png (2015-2-2 03:30:49, 185.84 KB) / 下载次数 130
http://www.mf8-china.com/forum.php?mod=attachment&aid=MjQ4NDUxfGI3NTAxZDY2fDE3NDY3MDkwMDV8MHww

附件: 4с-31.png (2015-2-2 03:30:43, 251.14 KB) / 下载次数 127
http://www.mf8-china.com/forum.php?mod=attachment&aid=MjQ4NDUwfGZkZjkwZWMwfDE3NDY3MDkwMDV8MHww

附件: 4c-22.png (2015-2-2 03:30:36, 174.41 KB) / 下载次数 115
http://www.mf8-china.com/forum.php?mod=attachment&aid=MjQ4NDQ5fDNjNjAwZTIxfDE3NDY3MDkwMDV8MHww

附件: 4c-21.png (2015-2-2 03:30:33, 162.26 KB) / 下载次数 126
http://www.mf8-china.com/forum.php?mod=attachment&aid=MjQ4NDQ4fDBjM2E1MWZhfDE3NDY3MDkwMDV8MHww

作者: 1104647 时间: 2015-2-2 06:06:38

说中国话，完全看不懂。。。

作者: 晕晕、、 时间: 2015-2-2 11:11:11

i want to have a try

作者: 造孽 时间: 2015-2-2 12:47:12

本帖最后由造孽于 2015-2-2 12:48 编辑

The four color cube looks like Did Not Finish...

作者: ！！！！！ 时间: 2015-2-2 21:28:17

哎……很有意思啊
Oh……interesting

作者: 小丸号 时间: 2015-2-2 22:22:05

完全不懂啥意思

作者: Grake_Pch 时间: 2015-2-2 22:24:06

Maybe it has more than one finish situation...

作者: 6663521 时间: 2015-2-3 07:59:35

是不是来自地图的四色问题,相邻的颜色都不一样.

作者: zaybxc 时间: 2015-2-3 11:52:53

对称的四色问题，不会这么麻烦吧？