二阶快速解法 [复制链接]

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电梯直达

1^#

发表于 2005-5-13 10:17:28 |只看该作者 |倒序浏览

<

>二阶OLL:</P>
<TABLE borderColor=#999999 cellSpacing=2 cellPadding=5 border=1>

<TR>
<TD>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体"><B><FONT color=#000099>OLL 21</FONT></B></FONT></DIV>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体"><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/2x2x2-3d-o21.gif"></FONT></DIV></TD>
<TD>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体"><B><FONT color=#000099>OLL 22</FONT></B></FONT></DIV>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体"><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/2x2x2-3d-o22.gif"></FONT></DIV></TD>
<TD>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体"><B><FONT color=#000099>OLL 23</FONT></B></FONT></DIV>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体"><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/2x2x2-3d-o23.gif"></FONT></DIV></TD>
<TD>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体"><B><FONT color=#000099>OLL 24</FONT></B></FONT></DIV>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体"><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/2x2x2-3d-o24.gif"></FONT></DIV></TD></TR>
<TR>
<TD noWrap>
<DIV align=center><FONT size=2><B><FONT face="ＭＳＰ明朝, 細明朝体">R2 U' U' R' U' U' R'2</FONT></B></FONT></DIV></TD>
<TD noWrap>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体" size=2><B>R' U R2 U' R'2 U' R2 U R'</B></FONT></DIV></TD>
<TD noWrap>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体"><B><FONT size=2>F R U R' U' F'</FONT></B></FONT></DIV></TD>
<TD noWrap>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体"><B><FONT size=2>F R F' R U R' U' R'</FONT></B></FONT></DIV></TD></TR></TABLE>
<TABLE borderColor=#999999 cellSpacing=2 cellPadding=5 border=1>

<TR>
<TD>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体" size=2><B><FONT color=#000099>OLL 25</FONT></B></FONT></DIV>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体" size=2><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/2x2x2-3d-o25.gif"></FONT></DIV></TD>
<TD>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体" size=2><B><FONT color=#000099>OLL 26</FONT></B></FONT></DIV>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体" size=2><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/2x2x2-3d-o26.gif"></FONT></DIV></TD>
<TD>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体" size=2><B><FONT color=#000099>OLL 27</FONT></B></FONT></DIV>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体" size=2><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/2x2x2-3d-o27.gif"></FONT></DIV></TD></TR>
<TR>
<TD noWrap>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体" size=2><B>F R' F' R U R U' R'</B></FONT></DIV></TD>
<TD noWrap>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体"><B><FONT size=2><B>R U' U' R' U' R U' R'</B></FONT></B></FONT></DIV></TD>
<TD noWrap>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体"><B><FONT size=2><B><FONT size=2>R U R' U R U' U' R'</FONT></B></FONT></B></FONT></DIV></TD></TR></TABLE>

[此贴子已经被作者于2005-5-13 10:23:29编辑过]

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大烟头

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2^#

发表于 2005-5-13 10:19:27 |只看该作者

<

>二阶PLL:</P><

><TABLE borderColor=#999999 cellSpacing=2 cellPadding=5 width=600 border=1><TR><TD><DIV align=center><FONT color=#0000cc><B>
</B></FONT><FONT face="ＭＳＰ明朝, 細明朝体" size=2><img src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/2x2x2-up-0.gif"></FONT></DIV></TD><TD><DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体" size=2><img src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/2x2x2-up-f.gif"> </FONT></DIV></TD><TD><DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体"><B><FONT face="ＭＳＰ明朝, 細明朝体" size=2><img src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/2x2x2-up-1.gif"></FONT></B></FONT></DIV></TD></TR><TR><TD noWrap><DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体" size=2><B>n/a</B></FONT></DIV></TD><TD noWrap><DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体" size=2><B>R B' R F2 R' B R F2 R2</B></FONT></DIV></TD><TD noWrap><DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体"><B><FONT size=2><B><FONT size=2>R U' R' U' F2 U' R U R' U F2 </FONT></B></FONT></B></FONT></DIV></TD></TR></TABLE></P>

阿多

蓝魔

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3^#

发表于 2005-5-13 11:46:44 |只看该作者

<

>二阶“快速”解法本人认为应该顶层一步到位，也就是3阶的角先~~~理论上6秒左右可以还原整个二阶魔方~~</P>

QQ:86280 阿多

dyer

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4^#

发表于 2005-5-13 12:31:34 |只看该作者

我算过，2阶顶层一步到位也只有30多种情况，每种一个公式也应该很好记

汉贼不两立。
我没有敌人。至少仍未有一个私敌。
我就是脑袋让驴踢了也不会嫉妒一个说别的魔友是自己养的狗的人。
无论如何，嘲笑别人没有后代都是很不文明的行为。

大烟头

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5^#

发表于 2005-5-13 16:56:03 |只看该作者

<TABLE borderColor=#999999 border=1>

<TR vAlign=top>
<TD height=80><FONT size=2>★各６種類の色付き画像から
下図の各手順を適用すると
手順後のキューブの配置が
右図になります。
色付き画像は対面色・非対面色
のみを表したもので、実際には
この限りではありません。m(_ _)m</FONT></TD>
<TD>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体" color=#0000ff size=3><B>4
<IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/2x2x2-up-0.gif"></B></FONT></DIV></TD>
<TD width=75>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体" color=#0000ff size=3><B>0
<IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/2x2x2-up-1.gif"></B></FONT></DIV></TD>
<TD width=76>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体" color=#0000ff size=3><B>F 1
<IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/2x2x2-up-f.gif"></B></FONT></DIV></TD>
<TD width=76>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体" color=#0000ff size=3><B>R 1
<IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/2x2x2-up-r.gif"></B></FONT></DIV></TD>
<TD width=76>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体" color=#0000ff size=3><B>B 1
<IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/2x2x2-up-b.gif"></B></FONT></DIV></TD>
<TD width=76>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体" color=#0000ff size=3><B>L 1
<IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/2x2x2-up-l.gif"></B></FONT></DIV></TD></TR>
<TR vAlign=top>
<TD>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体"><B><FONT color=#000099>OLL 21</FONT></B>
<IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/2x2x2-3d-o21.gif"></FONT>
<FONT size=2><B><FONT face="ＭＳＰ明朝, 細明朝体">R2 U' U' R' U' U' R'2</FONT></B></FONT></DIV></TD>
<TD vAlign=bottom>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o21-0.gif"></DIV></TD>
<TD vAlign=bottom width=75>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o21-1.gif"></DIV></TD>
<TD vAlign=bottom width=76>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o21-f.gif"></DIV></TD>
<TD vAlign=bottom width=76>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o21-r.gif"></DIV></TD>
<TD vAlign=bottom width=76>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o21-b.gif"></DIV></TD>
<TD vAlign=bottom width=76>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o21-l.gif"></DIV></TD></TR>
<TR vAlign=top>
<TD>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体"><B><FONT color=#000099>OLL 22</FONT></B>
<IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/2x2x2-3d-o22.gif"></FONT>
<FONT face="ＭＳＰ明朝, 細明朝体" size=2><B>R' U R2 U' R'2 U' R2 U R'</B></FONT></DIV></TD>
<TD vAlign=bottom noWrap>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o22-0.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=75>
<DIV align=center><B><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o22-1.gif"></B></DIV></TD>
<TD vAlign=bottom noWrap width=76>
<DIV align=center><B><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o22-f.gif"></B></DIV></TD>
<TD vAlign=bottom noWrap width=76>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o22-r.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=76>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o22-b.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=76>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o22-l.gif"></DIV></TD></TR>
<TR vAlign=top>
<TD height=105>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体"><B><FONT color=#000099>OLL 23</FONT></B>
<IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/2x2x2-3d-o23.gif">
<B><FONT size=2>F R U R' U' F'</FONT></B></FONT></DIV></TD>
<TD vAlign=bottom noWrap height=105>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o23-0.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=75 height=105>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o23-1.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=76 height=105>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o23-f.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=76 height=105>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o23-r.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=76 height=105>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o23-b.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=76 height=105>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o23-l.gif"></DIV></TD></TR>
<TR vAlign=top>
<TD>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体"><B><FONT color=#000099>OLL 24</FONT></B>
<IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/2x2x2-3d-o24.gif">
<B><FONT size=2>F R F' R U R' U' R'</FONT></B></FONT></DIV></TD>
<TD vAlign=bottom noWrap height=19>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o24-0.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=75 height=19>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o24-1.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=76 height=19>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o24-f.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=76 height=19>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o24-r.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=76 height=19>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o24-b.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=76 height=19>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o24-l.gif"></DIV></TD></TR>
<TR vAlign=top>
<TD>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体" size=2><B><FONT color=#000099>OLL 25</FONT></B>
<IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/2x2x2-3d-o25.gif">
<B>F R' F' R U R U' R'</B></FONT></DIV></TD>
<TD vAlign=bottom noWrap>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o25-0.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=75>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o25-1.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=76>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o25-f.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=76>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o25-r.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=76>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o25-b.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=76>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o25-l.gif"></DIV></TD></TR>
<TR vAlign=top>
<TD>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体" size=2><B><FONT color=#000099>OLL 26</FONT></B>
<IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/2x2x2-3d-o26.gif"></FONT>
<FONT face="ＭＳＰ明朝, 細明朝体"><B><FONT size=2><B>R U' U' R' U' R U' R'</B></FONT></B></FONT></DIV></TD>
<TD vAlign=bottom noWrap>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o26-0.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=75>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o26-1.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=76>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o26-f.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=76>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o26-r.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=76>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o26-b.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=76>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o26-l.gif"></DIV></TD></TR>
<TR vAlign=top>
<TD>
<DIV align=center><FONT face="ＭＳＰ明朝, 細明朝体" size=2><B><FONT color=#000099>OLL 27</FONT></B>
<IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/2x2x2-3d-o27.gif"></FONT>
<FONT face="ＭＳＰ明朝, 細明朝体"><B><FONT size=2><B><FONT size=2>R U R' U R U' U' R'</FONT></B></FONT></B></FONT></DIV></TD>
<TD vAlign=bottom noWrap height=19>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o27-0.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=75 height=19>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o27-1.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=76 height=19>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o27-f.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=76 height=19>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o27-r.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=76 height=19>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o27-b.gif"></DIV></TD>
<TD vAlign=bottom noWrap width=76 height=19>
<DIV align=center><IMG src="http://www.planet-puzzle.com/2x2x2/2x2x2-oll/print/2x2-o27-l.gif"></DIV></TD></TR></TABLE>

大烟头

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积分: 16322
帖子: 6926
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6^#

发表于 2005-5-13 17:13:14 |只看该作者

<

><FONT face=Arial size=2><BIG><B>Solution 1:</B></BIG>
<B>

hase 1:</B> Solve the top layer.</FONT> <OL type=a><LI><FONT face=Arial size=2>Decide which colour you want to place on the top face. Then hold the cube so that at least one piece already shows that colour on the top face. The remaining pieces on the top face will be placed relative to that piece.</FONT> <LI><FONT face=Arial size=2>Find a piece in the D layer that belongs in the U layer. Rotate D so that the piece is below its destination and rotate the whole cube to get it to the front right. If all the U layer pieces are already in the top layer though some are wrongly placed then choose any D piece to displace any wrong piece from the U layer.</FONT> <LI><FONT face=Arial size=2>Depending on its orientation, do one of the following:
1. To move FRD->URF do FDF'
2. To move RDF->URF do R'D'R
3. To move DFR->URF do FD'F'R'D2R</FONT> <LI><FONT face=Arial size=2>Repeat b-c until the top layer is done.</FONT> </LI></OL><

><FONT face=Arial size=2><B>

hase 2:</B> Place the bottom layer pieces, ignoring orientation.</FONT> <OL type=a><LI><FONT face=Arial size=2>Rotate the D layer to get at least two pieces in the correct position, though they may be twisted.</FONT> <LI><FONT face=Arial size=2>If necessary swap two pieces by using the following:
1. To swap DFR, DBL do F'R'D'RDFD'
2. To swap DFR, DFL do FDF'D'R'D'R</FONT> </LI></OL><

><FONT face=Arial size=2><B>

hase 3:</B> Twist the bottom layer pieces correctly.</FONT> <OL type=a><LI><FONT face=Arial size=2>Do one of the following sequences to solve the remaining pieces. Clockwise twists are denoted by a +, anti-clockwise ones by a -.</FONT> <TABLE><TR><TD><FONT face=Arial size=2>1. To twist DFL-, DBL+</FONT></TD><TD><FONT face=Arial size=2>do R'D'R F' DR'DR D2F2</FONT></TD></TR><TR><TD><FONT face=Arial size=2>2. To twist DFL+, DBL-</FONT></TD><TD><FONT face=Arial size=2>do F2D2 R'D'RD' F R'DR</FONT></TD></TR><TR><TD><FONT face=Arial size=2>3. To twist DFL-, DBR+</FONT></TD><TD><FONT face=Arial size=2>do R2D'R D2R'D2R D'R2D</FONT></TD></TR><TR><TD><FONT face=Arial size=2>4. To twist DFR-, DRB-, DBL-</FONT></TD><TD><FONT face=Arial size=2>do R'D'RD' R'D2RD2</FONT></TD></TR><TR><TD><FONT face=Arial size=2>5. To twist DFR+, DRB+, DBL+</FONT></TD><TD><FONT face=Arial size=2>do D2R'D2R DR'DR</FONT></TD></TR><TR><TD><FONT face=Arial size=2>6. To twist DFR-, DRB+, DBL-, DLF+</FONT></TD><TD><FONT face=Arial size=2>do R2D2 R D2R2 D</FONT></TD></TR><TR><TD><FONT face=Arial size=2>7. To twist DFR+, DRB-, DBL-, DLF+</FONT></TD><TD><FONT face=Arial size=2>do RDF R2D2F2 DF'DR2</FONT></TD></TR></TABLE></LI></OL><

><FONT face=Arial size=2>This solution takes at most 24+8+10=42 moves.</FONT></P>

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发表于 2005-5-13 17:14:09 |只看该作者

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><FONT face=Arial size=2><BIG><B>Solution 2:</B></BIG>
This solution is loosely based on the Thistlewaite algorithm adapted for the 2×2×2 cube. It uses fewer moves than solution 1, but is far more complicated since it uses a large table of sequences.
<B>

hase 1:</B> Orient all pieces correctly.</FONT> <OL type=a><LI><FONT face=Arial size=2>Choose the colours which will go on the top and bottom faces of the cube.</FONT> <LI><FONT face=Arial size=2>Hold the cube so that at least three of the pieces show one of those two colours on the top and bottom faces.</FONT> <LI><FONT face=Arial size=2>Examine which pieces need to be twisted and in which direction to make the top/bottom faces a mixture of the two chosen colours.</FONT> <LI><FONT face=Arial size=2>The following table lists all possible sequences needed to fix the orientations. The left column shows the twist the pieces need, in the order ULB, UBR, URF, UFL, DBR, DRF, DFL, DLB, where a + means it needs a clockwise twist, a - an anti+clockwise twist.</FONT> </LI></OL><TABLE><TR><TD><FONT face=Courier size=2>-0+00000 </FONT></TD><TD><FONT face=Arial size=2>FRU2R'F</FONT></TD></TR><TR><TD><FONT face=Courier size=2>-+000000</FONT></TD><TD><FONT face=Arial size=2>R2URF'UF</FONT></TD></TR><TR><TD><FONT face=Courier size=2>+-000000</FONT></TD><TD><FONT face=Arial size=2>RU2RU2R</FONT></TD></TR><TR><TD><FONT face=Courier size=2>0---0000</FONT></TD><TD><FONT face=Arial size=2>R2U2F'RF</FONT></TD></TR><TR><TD><FONT face=Courier size=2>--++0000</FONT></TD><TD><FONT face=Arial size=2>RF'R2F2UR</FONT></TD></TR><TR><TD><FONT face=Courier size=2>-+-+0000</FONT></TD><TD><FONT face=Arial size=2>F2U2F</FONT></TD></TR><TR><TD><FONT face=Courier size=2>+000-000</FONT></TD><TD><FONT face=Arial size=2>FU'RF</FONT></TD></TR><TR><TD><FONT face=Courier size=2>00+0-000</FONT></TD><TD><FONT face=Arial size=2>R'FR'F</FONT></TD></TR><TR><TD><FONT face=Courier size=2>--00-000</FONT></TD><TD><FONT face=Arial size=2>R'UR</FONT></TD></TR><TR><TD><FONT face=Courier size=2>0-0--000</FONT></TD><TD><FONT face=Arial size=2>FRF</FONT></TD></TR><TR><TD><FONT face=Courier size=2>0-++-000</FONT></TD><TD><FONT face=Arial size=2>R2U'F</FONT></TD></TR><TR><TD><FONT face=Courier size=2>0+-+-000</FONT></TD><TD><FONT face=Arial size=2>FR2F</FONT></TD></TR><TR><TD><FONT face=Courier size=2>+-0+-000</FONT></TD><TD><FONT face=Arial size=2>R2F2U'F</FONT></TD></TR><TR><TD><FONT face=Courier size=2>--+--000</FONT></TD><TD><FONT face=Arial size=2>R'F2UR</FONT></TD></TR><TR><TD><FONT face=Courier size=2>++++-000</FONT></TD><TD><FONT face=Arial size=2>RU'R'FR2F</FONT></TD></TR><TR><TD><FONT face=Courier size=2>0+0+-0-0</FONT></TD><TD><FONT face=Arial size=2>R2F</FONT></TD></TR><TR><TD><FONT face=Courier size=2>0++0-0-0</FONT></TD><TD><FONT face=Arial size=2>RUF2U'R</FONT></TD></TR><TR><TD><FONT face=Courier size=2>++00-0-0</FONT></TD><TD><FONT face=Arial size=2>R'UR2FR</FONT></TD></TR><TR><TD><FONT face=Courier size=2>-0-+-0-0</FONT></TD><TD><FONT face=Arial size=2>RFUR</FONT></TD></TR><TR><TD><FONT face=Courier size=2>+0---0-0</FONT></TD><TD><FONT face=Arial size=2>FUR2F</FONT></TD></TR><TR><TD><FONT face=Courier size=2>0+---0-0</FONT></TD><TD><FONT face=Arial size=2>R'F2R'F</FONT></TD></TR><TR><TD><FONT face=Courier size=2>0--+-0-0</FONT></TD><TD><FONT face=Arial size=2>FRUF</FONT></TD></TR><TR><TD><FONT face=Courier size=2>00++--00</FONT></TD><TD><FONT face=Arial size=2>R2U2F2UR</FONT></TD></TR><TR><TD><FONT face=Courier size=2>0+0+--00</FONT></TD><TD><FONT face=Arial size=2>R'URU2R</FONT></TD></TR><TR><TD><FONT face=Courier size=2>0++0--00</FONT></TD><TD><FONT face=Arial size=2>FR2F2RF</FONT></TD></TR><TR><TD><FONT face=Courier size=2>+0+0--00</FONT></TD><TD><FONT face=Arial size=2>RU2FU'R</FONT></TD></TR><TR><TD><FONT face=Courier size=2>++00--00</FONT></TD><TD><FONT face=Arial size=2>RUF2R2F</FONT></TD></TR><TR><TD><FONT face=Courier size=2>+0----00</FONT></TD><TD><FONT face=Arial size=2>FRFU2R</FONT></TD></TR><TR><TD><FONT face=Courier size=2>0+----00</FONT></TD><TD><FONT face=Arial size=2>R2FR2U'R</FONT></TD></TR><TR><TD><FONT face=Courier size=2>-+0---00</FONT></TD><TD><FONT face=Arial size=2>FR2F'UR</FONT></TD></TR><TR><TD><FONT face=Courier size=2>-+-+--00</FONT></TD><TD><FONT face=Arial size=2>R'F'U2F</FONT></TD></TR><TR><TD><FONT face=Courier size=2>0--+--00</FONT></TD><TD><FONT face=Arial size=2>RUF'U'F</FONT></TD></TR><TR><TD><FONT face=Courier size=2>0-+---00</FONT></TD><TD><FONT face=Arial size=2>FR2F'R</FONT></TD></TR><TR><TD><FONT face=Courier size=2>--0+--00</FONT></TD><TD><FONT face=Arial size=2>R'U'RU2R</FONT></TD></TR><TR><TD><FONT face=Courier size=2>+--0--00</FONT></TD><TD><FONT face=Arial size=2>RU2RU'R</FONT></TD></TR><TR><TD><FONT face=Courier size=2>--+0--00</FONT></TD><TD><FONT face=Arial size=2>F2R'U2F'R</FONT></TD></TR><TR><TD><FONT face=Courier size=2>0+-0-+00</FONT></TD><TD><FONT face=Arial size=2>F2R2F</FONT></TD></TR><TR><TD><FONT face=Courier size=2>-0+0-+00</FONT></TD><TD><FONT face=Arial size=2>R'UR2U'R</FONT></TD></TR><TR><TD><FONT face=Courier size=2>-+00-+00</FONT></TD><TD><FONT face=Arial size=2>R2F'U2F</FONT></TD></TR><TR><TD><FONT face=Courier size=2>+0-0-+00</FONT></TD><TD><FONT face=Arial size=2>FU'R2U'R</FONT></TD></TR><TR><TD><FONT face=Courier size=2>0----+00</FONT></TD><TD><FONT face=Arial size=2>FR2U'R</FONT></TD></TR><TR><TD><FONT face=Courier size=2>---0-+00</FONT></TD><TD><FONT face=Arial size=2>RF'U2F</FONT></TD></TR><TR><TD><FONT face=Courier size=2>0-+0+-00</FONT></TD><TD><FONT face=Arial size=2>R</FONT></TD></TR><TR><TD><FONT face=Courier size=2>+0-0+-00</FONT></TD><TD><FONT face=Arial size=2>R'F'U'F</FONT></TD></TR><TR><TD><FONT face=Courier size=2>+-00+-00</FONT></TD><TD><FONT face=Arial size=2>F2R'U2R</FONT></TD></TR><TR><TD><FONT face=Courier size=2>-0--+-00</FONT></TD><TD><FONT face=Arial size=2>RF2UR</FONT></TD></TR><TR><TD><FONT face=Courier size=2>00+--0+0</FONT></TD><TD><FONT face=Arial size=2>RF'RF2R</FONT></TD></TR><TR><TD><FONT face=Courier size=2>00-+-0+0</FONT></TD><TD><FONT face=Arial size=2>FRFR</FONT></TD></TR><TR><TD><FONT face=Courier size=2>-0+0-0+0</FONT></TD><TD><FONT face=Arial size=2>R2UF2R</FONT></TD></TR><TR><TD><FONT face=Courier size=2>+-00-0+0</FONT></TD><TD><FONT face=Arial size=2>FR'U2RF</FONT></TD></TR><TR><TD><FONT face=Courier size=2>-00+-0+0</FONT></TD><TD><FONT face=Arial size=2>R2U'R'F2R</FONT></TD></TR><TR><TD><FONT face=Courier size=2>--0--0+0</FONT></TD><TD><FONT face=Arial size=2>R'U2F'R</FONT></TD></TR><TR><TD><FONT face=Courier size=2>---0-0+0</FONT></TD><TD><FONT face=Arial size=2>F'RU2F</FONT></TD></TR></TABLE><

><FONT face=Arial size=2><B>

hase 2:</B> Put the pieces in position.</FONT> <OL type=a><LI><FONT face=Arial size=2>Find a tetrad of pieces, i.e. 4 pieces which in the solved cube are not adjacent (i.e. any two of them have exactly 1 colour in common).</FONT> <LI><FONT face=Arial size=2>Rotate U/D to get these pieces into one of the following patterns and do the sequence shown:</FONT> <TABLE><TR><TD><FONT face=Arial size=2>UFL, ULB, DLF, DRB:</FONT></TD><TD><FONT face=Arial size=2>R2UR2UF2</FONT></TD></TR><TR><TD><FONT face=Arial size=2>UFL, ULB, UBR, DLF:</FONT></TD><TD><FONT face=Arial size=2>R2UF2</FONT></TD></TR><TR><TD><FONT face=Arial size=2>UFL, UBR, URF, DLF:</FONT></TD><TD><FONT face=Arial size=2>F2U'F2</FONT></TD></TR><TR><TD><FONT face=Arial size=2>UFL, UBR, DLF, DBR:</FONT></TD><TD><FONT face=Arial size=2>R2U2F</FONT></TD></TR><TR><TD><FONT face=Arial size=2>ULB, URF, DLF, DFR:</FONT></TD><TD><FONT face=Arial size=2>F2</FONT></TD></TR></TABLE><FONT face=Arial size=2>This leaves the tetrad in the U layer, and the other tetrad in the D layer.</FONT> <LI><FONT face=Arial size=2>Rotate U to get as many pieces from the U layer adjacent to matching pieces in the bottom layer, i.e. forming as many correct columns as possible.</FONT> <LI><FONT face=Arial size=2>If there are 4 columns, then do UF2U2R2U; if there are 2 adjacent columns then holding the cube with those columns in the B face do the sequence F2U'F2U2R2UF2U; if there are 2 non-adjacent columns, then holding the cube with those columns at FR and BL do the sequence R2U2F2U.</FONT> <LI><FONT face=Arial size=2>The cube can now be solved by using only half turns, and at most 4 are needed. This is trivial.</FONT> </LI></OL><

><FONT face=Arial size=2>This solution takes at most 24 moves (not including cancellations between the steps in phase 2).</FONT></P>