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标题: 正六面体自镜像魔方 [打印本页]

作者: 明华 时间: 2008-3-20 11:10:42 标题: 正六面体自镜像魔方

         我们已经知道 Dino Cube（正六面体八轴二阶魔方）是一个自镜像魔方：                  对于 Dino Cube（正六面体八轴二阶魔方），其在镜子中的所有状态都是 pengw 所说的 “合法状态” ！          请大家参考： <A href="http://bbs.mf8-china.com/viewthread.php?tid=3132">The Shortest Solver Of Dino Cube</A>                <A href="http://bbs.mf8-china.com/viewthread.php?tid=3132">http://bbs.mf8-china.com/viewthread.php?tid=3132</A>             
    Dino Cube（正六面体八轴二阶魔方）可以产生自镜像魔方（这是其它正六面体魔方 所不具备的）。
    如原始魔方 <IMG alt="" src="http://bbs.mf8-china.com/data/attachment/forum/dvbbs/2006-12/20061259103269040.gif" border=0> 到她的自镜像魔方 <IMG alt="" src="http://bbs.mf8-china.com/data/attachment/forum/dvbbs/2006-12/20061259253177267.gif" border=0> 的最少步公式：
        Generate in many ways   <IMG src="http://bbs.mf8-china.com/data/attachment/forum/dvbbs/2006-12/20061258392416731.gif" border=0>       1)  0 1' 7 4' 2' 5 4' 6 5 4  2)  0 3' 2 4' 5' 7 4' 1 7 4  3)  0 6' 5 4' 7' 2 4' 3 2 4  4)  0' 1 2' 4 7 5' 4 3' 5' 4'  5)  0' 3 5' 4 2 7' 4 6' 7' 4'  6)  0' 6 7' 4 5 2' 4 1' 2' 4'  7)  1 0' 3 5' 6' 4 5' 2 4 5  8)  1 2' 4 5' 3' 6 5' 7 6 5  9)  1 7' 6 5' 4' 3 5' 0 3 5  10)  1' 0 6' 5 3 4' 5 7' 4' 5'  11)  1' 2 3' 5 4 6' 5 0' 6' 5'  12)  1' 7 4' 5 6 3' 5 2' 3' 5'  13)  2 1' 0 6' 7' 5 6' 3 5 6  14)  2 3' 5 6' 0' 7 6' 4 7 6  15)  2 4' 7 6' 5' 0 6' 1 0 6  16)  2' 1 7' 6 0 5' 6 4' 5' 6'  17)  2' 3 0' 6 5 7' 6 1' 7' 6'  18)  2' 4 5' 6 7 0' 6 3' 0' 6'  19)  3 0' 6 7' 1' 4 7' 5 4 7  20)  3 2' 1 7' 4' 6 7' 0 6 7  21)  3 5' 4 7' 6' 1 7' 2 1 7  22)  3' 0 1' 7 6 4' 7 2' 4' 7'  23)  3' 2 4' 7 1 6' 7 5' 6' 7'  24)  3' 5 6' 7 4 1' 7 0' 1' 7'  25)  4 2' 3 0' 1' 6 0' 5 6 0  26)  4 5' 6 0' 3' 1 0' 7 1 0  27)  4 7' 1 0' 6' 3 0' 2 3 0  28)  4' 2 1' 0 3 6' 0 7' 6' 0'  29)  4' 5 3' 0 6 1' 0 2' 1' 0'  30)  4' 7 6' 0 1 3' 0 5' 3' 0'  31)  5 3' 0 1' 2' 7 1' 6 7 1  32)  5 4' 2 1' 7' 0 1' 3 0 1  33)  5 6' 7 1' 0' 2 1' 4 2 1  34)  5' 3 2' 1 0 7' 1 4' 7' 1'  35)  5' 4 7' 1 2 0' 1 6' 0' 1'  36)  5' 6 0' 1 7 2' 1 3' 2' 1'  37)  6 0' 1 2' 3' 4 2' 7 4 2  38)  6 5' 3 2' 4' 1 2' 0 1 2  39)  6 7' 4 2' 1' 3 2' 5 3 2  40)  6' 0 3' 2 1 4' 2 5' 4' 2'  41)  6' 5 4' 2 3 1' 2 7' 1' 2'  42)  6' 7 1' 2 4 3' 2 0' 3' 2'  43)  7 1' 2 3' 0' 5 3' 4 5 3  44)  7 4' 5 3' 2' 0 3' 6 0 3  45)  7 6' 0 3' 5' 2 3' 1 2 3  46)  7' 1 0' 3 2 5' 3 6' 5' 3'  47)  7' 4 2' 3 5 0' 3 1' 0' 3'  48)  7' 6 5' 3 0 2' 3 4' 2' 3'

作者: 明华 时间: 2008-3-20 11:13:04

          那么还有其他正六面体自镜像魔方吗？回答当然是肯定的。下面就举大家常见 的正六面体 N 阶魔方（自镜像）为例说明：                实际上，只有正六面体 N 阶魔方 ( N > 2) 的（中层及内对角块） 才能构成正六面体 N 阶自镜像魔方。        如：         正六面体三阶自镜像魔方： <APPLET codeBase=http://bbs.mf100.org height=300 archive=rubikplayer.jar width=300 code=ch.randelshofer.rubik.RubikPlayerApp.class><PARAM NAME="stickersleft" VALUE="6,4,6,4,6,4,6,4,6"><PARAM NAME="stickersdown" VALUE="6,2,6,2,6,2,6,2,6"><PARAM NAME="stickersup" VALUE="6,5,6,5,6,5,6,5,6"><PARAM NAME="stickersback" VALUE="6,3,6,3,6,3,6,3,6"><PARAM NAME="stickersfront" VALUE="6,0,6,0,6,0,6,0,6"><PARAM NAME="scrgptlanguage" VALUE="SupersetENG"><PARAM NAME="stickersright" VALUE="6,1,6,1,6,1,6,1,6"><PARAM NAME="colortable" VALUE="0xf8f8f8,0x00732f,0xff4400,0xffd200,0x003373,0x8c000f,0x858585"><PARAM NAME="codeBase" VALUE="http://bbs.mf100.org/"><PARAM NAME="height" VALUE="300"><PARAM NAME="archive" VALUE="rubikplayer.jar"><PARAM NAME="width" VALUE="300"><PARAM NAME="code" VALUE="ch.randelshofer.rubik.RubikPlayerApp.class"></APPLET>     正六面体四阶自镜像魔方： <APPLET codeBase=http://bbs.mf100.org height=300 archive=revengeplayer.jar width=300 code=RevengePlayer.class><PARAM NAME="stickersleft" VALUE="6,6,6,6,6,4,4,6,6,4,4,6,6,6,6,6"><PARAM NAME="stickersdown" VALUE="6,6,6,6,6,2,2,6,6,2,2,6,6,6,6,6"><PARAM NAME="stickersup" VALUE="6,6,6,6,6,5,5,6,6,5,5,6,6,6,6,6"><PARAM NAME="stickersback" VALUE="6,6,6,6,6,3,3,6,6,3,3,6,6,6,6,6"><PARAM NAME="stickersfront" VALUE="6,6,6,6,6,0,0,6,6,0,0,6,6,6,6,6"><PARAM NAME="scrgptlanguage" VALUE="SupersetENG"><PARAM NAME="stickersright" VALUE="6,6,6,6,6,1,1,6,6,1,1,6,6,6,6,6"><PARAM NAME="colortable" VALUE="0xf8f8f8,0x00732f,0xff4400,0xffd200,0x003373,0x8c000f,0x858585"><PARAM NAME="codeBase" VALUE="http://bbs.mf100.org/"><PARAM NAME="height" VALUE="300"><PARAM NAME="archive" VALUE="revengeplayer.jar"><PARAM NAME="width" VALUE="300"><PARAM NAME="code" VALUE="RevengePlayer.class"></APPLET>    正六面体五阶自镜像魔方： <APPLET codeBase=http://bbs.mf100.org height=300 archive=professorplayer.jar width=300 code=de.pirzer.rubik.ProfessorPlayerApp.class><PARAM NAME="stickersleft" VALUE="6,6,4,6,6,6,4,4,4,6,4,4,6,4,4,6,4,4,4,6,6,6,4,6,6"><PARAM NAME="stickersdown" VALUE="6,6,2,6,6,6,2,2,2,6,2,2,6,2,2,6,2,2,2,6,6,6,2,6,6"><PARAM NAME="stickersup" VALUE="6,6,5,6,6,6,5,5,5,6,5,5,6,5,5,6,5,5,5,6,6,6,5,6,6"><PARAM NAME="stickersback" VALUE="6,6,3,6,6,6,3,3,3,6,3,3,6,3,3,6,3,3,3,6,6,6,3,6,6"><PARAM NAME="stickersfront" VALUE="6,6,0,6,6,6,0,0,0,6,0,0,6,0,0,6,0,0,0,6,6,6,0,6,6"><PARAM NAME="scrgptlanguage" VALUE="PirzerENG"><PARAM NAME="stickersright" VALUE="6,6,1,6,6,6,1,1,1,6,1,1,6,1,1,6,1,1,1,6,6,6,1,6,6"><PARAM NAME="colortable" VALUE="0xf8f8f8,0x00732f,0xff4400,0xffd200,0x003373,0x8c000f,0x858585"><PARAM NAME="codeBase" VALUE="http://bbs.mf100.org/"><PARAM NAME="height" VALUE="300"><PARAM NAME="archive" VALUE="professorplayer.jar"><PARAM NAME="width" VALUE="300"><PARAM NAME="code" VALUE="de.pirzer.rubik.ProfessorPlayerApp.class"></APPLET>       公式不好给出（太麻烦了），只给出 真正的正六面体 N 阶自镜像魔方 ！                             注：中层特指除去各面“中心块”的其他中层块；内对角块也有人称之为心角块 。

作者: 明华 时间: 2008-3-20 11:17:19

           请大家注意：上面几个例子与下面这两个 假自镜像魔方的区别！不要被这些 假自镜像魔方迷惑（忽悠）！           正六面体四阶假自镜像魔方： <APPLET codeBase=http://bbs.mf100.org height=300 archive=revengeplayer.jar width=300 code=RevengePlayer.class><PARAM NAME="stickersFront" VALUE="6,0,0,6,0,0,0,0,0,0,0,0,6,0,0,6"><PARAM NAME="stickersRight" VALUE="6,1,1,6,1,1,1,1,1,1,1,1,6,1,1,6"><PARAM NAME="stickersDown" VALUE="6,2,2,6,2,2,2,2,2,2,2,2,6,2,2,6"><PARAM NAME="stickersBack" VALUE="6,3,3,6,3,3,3,3,3,3,3,3,6,3,3,6"><PARAM NAME="stickersLeft" VALUE="6,4,4,6,4,4,4,4,4,4,4,4,6,4,4,6"><PARAM NAME="stickersUp" VALUE="6,5,5,6,5,5,5,5,5,5,5,5,6,5,5,6"><PARAM NAME="scrgpt" VALUE="MU' MD F2 B2 MU' MD ML2 F2 B2 MR2 SU2 SF2 SR2"><PARAM NAME="scrgptlanguage" VALUE="SupersetENG"><PARAM NAME="colortable" VALUE="0xf8f8f8,0x00732f,0xff4400,0xffd200,0x003373,0x8c000f,0x858585"><PARAM NAME="codeBase" VALUE="http://bbs.mf100.org/"><PARAM NAME="height" VALUE="300"><PARAM NAME="archive" VALUE="revengeplayer.jar"><PARAM NAME="width" VALUE="300"><PARAM NAME="code" VALUE="RevengePlayer.class"></APPLET>     正六面体五阶假自镜像魔方： <APPLET codeBase=http://bbs.mf100.org height=500 archive=professorplayer.jar width=300 code=de.pirzer.rubik.ProfessorPlayerApp.class><PARAM NAME="stickersFront" VALUE="6,0,0,0,6,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,6,0,0,0,6"><PARAM NAME="stickersRight" VALUE="6,1,1,1,6,1,1,1,1,1,1,1,6,1,1,1,1,1,1,1,6,1,1,1,6"><PARAM NAME="stickersDown" VALUE="6,2,2,2,6,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,6,2,2,2,6"><PARAM NAME="stickersBack" VALUE="6,3,3,3,6,3,3,3,3,3,3,3,6,3,3,3,3,3,3,3,6,3,3,3,6"><PARAM NAME="stickersLeft" VALUE="6,4,4,4,6,4,4,4,4,4,4,4,6,4,4,4,4,4,4,4,6,4,4,4,6"><PARAM NAME="stickersUp" VALUE="6,5,5,5,6,5,5,5,5,5,5,5,6,5,5,5,5,5,5,5,6,5,5,5,6"><PARAM NAME="ColorTable" VALUE="0xf8f8f8,0x00732f,0xff4400,0xffd200,0x003373,0x8c000f,0x858585"><PARAM NAME="scrgptLanguage" VALUE="PirzerENG"><PARAM NAME="scrgpt" VALUE="SU R2 L2 SU MLL2 F2 B2 MRR2 SU2 SR2 SF2 \n \n D MF2\n MBB' U MLL' MU' MLL U' MLL' MU MLL MBB\n CU\n MBB' U MLL' MU' MLL U' MLL' MU MLL MBB\n CU'\n MF2 D'\n"><PARAM NAME="codeBase" VALUE="http://bbs.mf100.org/"><PARAM NAME="height" VALUE="500"><PARAM NAME="archive" VALUE="professorplayer.jar"><PARAM NAME="width" VALUE="300"><PARAM NAME="code" VALUE="de.pirzer.rubik.ProfessorPlayerApp.class"></APPLET>                  

[ 本帖最后由明华于 2008-3-20 11:33 编辑 ]

作者: 明华 时间: 2008-3-20 11:22:02

     正六面体六阶自镜像魔方： <APPLET codeBase=http://virtualpolyhedra.googlepages.com/ height=382 archive=rubikseqviewer_1_2.jar width=330 code=RubikSeqViewer.class><PARAM NAME="version" VALUE="viewer"><PARAM NAME="delay" VALUE="0"><PARAM NAME="label_on" VALUE="0"><PARAM NAME="editable" VALUE="0"><PARAM NAME="degree" VALUE="6"><PARAM NAME="color_config" VALUE="D(255,255,0) R(0,0,255) U(255,255,255) F(255,0,0) L(0,255,0) B(255,128,0) G(188,188,188)"><PARAM NAME="color_0" VALUE="GGGGGGGGGGGGGGGGUGGUGGGGGUUGGGGGGUUG"><PARAM NAME="color_1" VALUE="GGGGUGGUGGGGGGGGGGGGGGGGGGFGGFGGRLGG"><PARAM NAME="color_2" VALUE="GGRLGGBGGBGGGGGFFGGGGGRLRLGGGGGBBGGG"><PARAM NAME="color_3" VALUE="GGGFFGGGGGRLRLGGGGGBBGGGGGFGGFGGRLGG"><PARAM NAME="color_4" VALUE="GGRLGGBGGBGGGGGGGGGGGGGGGGGGDGGDGGGG"><PARAM NAME="color_5" VALUE="GDDGGGGGGDDGGGGGDGGDGGGGGGGGGGGGGGGG"><PARAM NAME="codeBase" VALUE="http://virtualpolyhedra.googlepages.com/"><PARAM NAME="height" VALUE="382"><PARAM NAME="archive" VALUE="rubikseqviewer_1_2.jar"><PARAM NAME="width" VALUE="330"><PARAM NAME="code" VALUE="RubikSeqViewer.class"></APPLET>

作者: 明华 时间: 2008-3-20 11:22:41

     正六面体七阶自镜像魔方： 
<applet code="RubikSeqViewer.class" codebase="http://virtualpolyhedra.googlepages.com/"
archive="rubikseqviewer_1_2.jar" width="350" height="402">
<param name="version" value="viewer">
<param name="delay" value="0">
<param name="label_on" value="0">
<param name="editable" value="0">
<param name="degree" value="7">
<param name="color_config" value="D(255,255,0) R(0,0,255) U(255,255,255) F(255,0,0) L(0,255,0) B(255,128,0) G(188,188,188)">
<param name="color_0" value="GGGGGGGFUGGGGGGGGGUGUGUGGGGGUUUGGGRUUUGUULUGGGUUU">
<param name="color_1" value="GGGGGUGUGUGGGGGGGGGBUGGGGGGGGGFGFGFGGRLGGRLGGRLGG">
<param name="color_2" value="BGBGBGGGGGFFFGGGGGRLRLRLGGGGGBBBGGGFRFFGFFFLRLRLG">
<param name="color_3" value="GRLRLBRBBGBBBLGGGFFFGGGGGRLRLRLGGGGGBBBGGGGGFGFGF">
<param name="color_4" value="GGRLGGRLGGRLGGBGBGBGGGGGGGGGFDGGGGGGGGGDGDGDGGGGG">
<param name="color_5" value="DDDGGGRDDDGDDLDGGGDDDGGGGGDGDGDGGGGGGGGGBDGGGGGGG">
</applet>

作者: 明华 时间: 2008-3-20 11:23:09

     正六面体八阶自镜像魔方： 
<applet code="RubikSeqViewer.class" codebase="http://virtualpolyhedra.googlepages.com/"
archive="rubikseqviewer_1_2.jar" width="390" height="432">
<param name="version" value="viewer">
<param name="delay" value="0">
<param name="label_on" value="0">
<param name="editable" value="0">
<param name="degree" value="8">
<param name="color_config" value="D(255,255,0) R(0,0,255) U(255,255,255) F(255,0,0) L(0,255,0) B(255,128,0) G(188,188,188)">
<param name="color_0" value="GGGGGGGGGGGGGGGGGGGGUGGGGUGGGGGUGGUGGGGGGGUUGGGGGGGGUUGGGGGGGUGG">
<param name="color_1" value="UGGGGGUGGGGUGGGGGGGGGGGGGGGGGGGGGGFGGGGFGGRLGGGGGGGGRLGGBGGGGBGG">
<param name="color_2" value="GGGFGGFGGGGGRLGGGGRLGGGGGBGGBGGGGGGGFFGGGGGGGGRLRLGGGGGGGGBBGGGG">
<param name="color_3" value="GGGGFFGGGGGGGGRLRLGGGGGGGGBBGGGGGGGFGGFGGGGGRLGGGGRLGGGGGBGGBGGG">
<param name="color_4" value="GGFGGGGFGGRLGGGGGGGGRLGGBGGGGBGGGGGGGGGGGGGGGGGGGGGGDGGGGDGGGGGD">
<param name="color_5" value="GGDGGGGGGGDDGGGGGGGGDDGGGGGGGDGGDGGGGGDGGGGDGGGGGGGGGGGGGGGGGGGG">
</applet>

作者: 明华 时间: 2008-3-20 11:23:41

     正六面体九阶自镜像魔方： 
<applet code="RubikSeqViewer.class" codebase="http://virtualpolyhedra.googlepages.com/"
archive="rubikseqviewer_1_2.jar" width="436" height="463">
<param name="version" value="viewer">
<param name="delay" value="0">
<param name="label_on" value="0">
<param name="editable" value="0">
<param name="degree" value="9">
<param name="color_config" value="D(255,255,0) R(0,0,255) U(255,255,255) F(255,0,0) L(0,255,0) B(255,128,0) G(188,188,188)">
<param name="color_0" value="GGGGGGGGGFUGGGGGGGGGGGUGGUGGUGGGGGUGUGUGGGGGGGUUUGGGGRUUUUGUUULUGGGGUUUGGGGGGGUGU">
<param name="color_1" value="GUGGGGGUGGUGGUGGGGGGGGGGGBUGGGGGGGGGGGFGGFGGFGGRLGGGGRLGGGGRLGGBGGBGGBGGGGGFGFGFG">
<param name="color_2" value="GGGGRLGGRLGGRLGGGGGBGBGBGGGGGGGFFFGGGGGGGGRLRLRLGGGGGGGGBBBGGGGFRFFFGFFFFLRLRLRLG">
<param name="color_3" value="GRLRLRLBRBBBGBBBBLGGGGFFFGGGGGGGGRLRLRLGGGGGGGGBBBGGGGGGGFGFGFGGGGGRLGGRLGGRLGGGG">
<param name="color_4" value="GBGBGBGGGGGFGGFGGFGGRLGGGGRLGGGGRLGGBGGBGGBGGGGGGGGGGGFDGGGGGGGGGGGDGGDGGDGGGGGDG">
<param name="color_5" value="DGDGGGGGGGDDDGGGGRDDDDGDDDLDGGGGDDDGGGGGGGDGDGDGGGGGDGGDGGDGGGGGGGGGGGBDGGGGGGGGG">
</applet>

作者: 明华 时间: 2008-3-20 11:58:27

        判断正六面体自镜像魔方的方法为，看这个魔方的相关所有块 能否 同时到达其 关于几何中心对称的块的位置！         如果“能”，则该正六面体魔方是正六面体自镜像魔方！         如果“否”，则该正六面体魔方非正六面体自镜像魔方！

作者: 乌木 时间: 2008-3-20 12:20:22

原帖由 明华 于 2008-3-20 11:58 发表 <A href="http://bbs.mf8-china.com/redirect.php?goto=findpost&pid=100080&ptid=6937" target=_blank><IMG alt="" src="http://bbs.mf8-china.com/images/common/back.gif" border=0></A>         判断正六面体自镜像魔方的方法为，看这个魔方的相关所有块能否同时到达其关于几何中心对称的块的位置！         如果“能”，则该正六面体魔方 ...

怎么您这里同时考查镜面对称和中心对称的？我学过的一点点皮毛知识不够用了。<IMG alt="" src="http://bbs.mf8-china.com/images/smilies/default/mad.gif" border=0 smilieid="11"> <IMG alt="" src="http://bbs.mf8-china.com/images/smilies/default/sweat.gif" border=0 smilieid="10"> 
 
－－－－－－－－－－－－－－－－－－－－－－
 
噢，是不是这样：先看中心对称，如果存在，则经过整体旋滚即成镜像了。<IMG alt="" src="http://bbs.mf8-china.com/images/smilies/default/shocked.gif" border=0 smilieid="6"> <IMG alt="" src="http://bbs.mf8-china.com/images/smilies/default/shocked.gif" border=0 smilieid="6"> 
 
如果说对了，这方法真是好方法！

[ 本帖最后由乌木于 2008-3-20 13:01 编辑 ]

作者: 明华 时间: 2008-3-20 13:01:00

原帖由 乌木 于 2008-3-20 12:20 发表 <A href="http://bbs.mf8-china.com/redirect.php?goto=findpost&pid=100085&ptid=6937" target=_blank><IMG alt="" src="http://bbs.mf8-china.com/images/common/back.gif" border=0></A>   噢，是不是这样：先看中心对称，如果存在，则经过整体旋滚即成镜像了。<IMG alt="" src="http://bbs.mf8-china.com/images/smilies/default/shocked.gif" border=0 smilieid="6"> <IMG alt="" src="http://bbs.mf8-china.com/images/smilies/default/shocked.gif" border=0 smilieid="6">

非常正确！       判断正六面体自镜像魔方的最简单的方法：代入类似下面两个公式，如果该魔方 是“正六面体自镜像魔方”，则“相关所有块能同时到达其关于几何中心对称的块 的位置！”  从而为她正名－－－“正六面体自镜像魔方” ！

作者: 明华 时间: 2008-3-20 13:01:38

     中层镜像公式： <APPLET height=300 archive=professorplayer.jar codeBase=http://bbs.mf100.org width=300 code=de.pirzer.rubik.ProfessorPlayerApp.class><PARAM NAME="ColorTable" VALUE="0xf8f8f8,0x00732f,0xff4400,0xffd200,0x003373,0x8c000f,0x858585"><PARAM NAME="scrgptLanguage" VALUE="PirzerENG"><PARAM NAME="scrgpt" VALUE="MU2 MR2 MF2 "><PARAM NAME="stickersFront" VALUE="6,6,0,6,6,6,0,0,0,6,0,0,6,0,0,6,0,0,0,6,6,6,0,6,6"><PARAM NAME="stickersRight" VALUE="6,6,1,6,6,6,1,1,1,6,1,1,6,1,1,6,1,1,1,6,6,6,1,6,6"><PARAM NAME="stickersDown" VALUE="6,6,2,6,6,6,2,2,2,6,2,2,6,2,2,6,2,2,2,6,6,6,2,6,6"><PARAM NAME="stickersBack" VALUE="6,6,3,6,6,6,3,3,3,6,3,3,6,3,3,6,3,3,3,6,6,6,3,6,6"><PARAM NAME="stickersLeft" VALUE="6,6,4,6,6,6,4,4,4,6,4,4,6,4,4,6,4,4,4,6,6,6,4,6,6"><PARAM NAME="stickersUp" VALUE="6,6,5,6,6,6,5,5,5,6,5,5,6,5,5,6,5,5,5,6,6,6,5,6,6"><PARAM NAME="height" VALUE="300"><PARAM NAME="archive" VALUE="professorplayer.jar"><PARAM NAME="width" VALUE="300"><PARAM NAME="code" VALUE="de.pirzer.rubik.ProfessorPlayerApp.class"><PARAM NAME="codeBase" VALUE="http://bbs.mf8-china.com/"></APPLET>    

[ 本帖最后由明华于 2008-3-20 13:05 编辑 ]

作者: 明华 时间: 2008-3-20 13:02:01

     内对角块镜像公式：（注意：蓝-绿、黄-白） <APPLET height=300 archive=professorplayer.jar codeBase=http://bbs.mf100.org width=300 code=de.pirzer.rubik.ProfessorPlayerApp.class><PARAM NAME="ColorTable" VALUE="0xf8f8f8,0x00732f,0xff4400,0xffd200,0x003373,0x8c000f,0x858585"><PARAM NAME="scrgptLanguage" VALUE="PirzerENG"><PARAM NAME="scrgpt" VALUE="MRR2\n MBB' MLL' MUU' MLL U MLL' MUU MLL U' MBB\n CU'\nMBB' MLL' MUU' MLL U MLL' MUU MLL U' MBB\n CU\nMRR2\n "><PARAM NAME="stickersDown" VALUE="2,2,2,2,2,2,2,2,1,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2"><PARAM NAME="stickersUp" VALUE="5,5,5,5,5,5,4,5,5,5,5,5,5,5,5,5,3,5,5,5,5,5,5,5,5"><PARAM NAME="height" VALUE="300"><PARAM NAME="archive" VALUE="professorplayer.jar"><PARAM NAME="width" VALUE="300"><PARAM NAME="code" VALUE="de.pirzer.rubik.ProfessorPlayerApp.class"><PARAM NAME="codeBase" VALUE="http://bbs.mf8-china.com/"></APPLET>    

[ 本帖最后由明华于 2008-3-20 13:05 编辑 ]

作者: 明华 时间: 2008-3-20 13:03:16

           注：这里“内对角块镜像公式”仅提供两组角位置互换镜像公式。                  注：中层特指除去各面“中心块”的其他中层块；内对角块也有人称之为心角块 。           

[ 本帖最后由明华于 2008-3-20 13:15 编辑 ]

作者: 乌木 时间: 2008-3-20 13:33:15

在纯色四阶中，四个心块看不出区别。在全色四阶中，从颜色来说，下图两个魔方的心块对称，但考虑号码，就不对称。只要下图中任一个魔方的所有同色的6、7互换，所有同色的10、11也互换，则两个魔方的心块就对称了。我不会互换6、7和互换10、11；如果不可能，则全色四阶的心块簇没有自镜像。
 
 四阶心块自对称问题.GIF

附件: 四阶心块自对称问题.GIF (2008-3-20 13:33:15, 25.95 KB) / 下载次数 32
http://bbs.mf8-china.com/forum.php?mod=attachment&aid=MTM4NDF8ZDIyNGMzNWJ8MTczMjMzNzM5NHwwfDA%3D

作者: 乌木 时间: 2008-3-20 13:53:36

“心角块”是否改叫“偏心块”更合理？

作者: 明华 时间: 2008-3-20 16:13:09

        “心角块”是 pengw 大师发明的叫法，这个您得同他讲！         在“正六面体四阶自镜像魔方”（全色四阶）中很简单，直接用 12 楼的公式嘛！ 这样用：         内对角块镜像公式：（注意：蓝-绿、黄-白） <APPLET codeBase=http://bbs.mf100.org height=300 archive=revengeplayer.jar width=300 code=RevengePlayer.class><PARAM NAME="stickersdown" VALUE="2,2,2,2,2,2,1,2,2,2,0,2,2,2,2,2"><PARAM NAME="scrgpt" VALUE="MR2\n MB' ML' MU' ML U ML' MU ML U' MB\n CU'\n MB' ML' MU' ML U ML' MU ML U' MB\n CU\nMR2\n"><PARAM NAME="stickersup" VALUE="5,5,5,5,5,4,5,5,5,3,5,5,5,5,5,5"><PARAM NAME="scrgptlanguage" VALUE="SupersetENG"><PARAM NAME="colortable" VALUE="0xf8f8f8,0x00732f,0xff4400,0xffd200,0x003373,0x8c000f,0x858585"></APPLET>    

[ 本帖最后由明华于 2008-3-20 16:28 编辑 ]

作者: 明华 时间: 2008-3-20 16:13:28

<IMG src="http://bbs.mf8-china.com/attachments/month_0803/20080320_3f0d06c2ff99b2dc90d91VBlSnowNfV2.gif" border=0>     利用楼上的公式也可以互换 6、7 和互换 10、11 的位置： <APPLET codeBase=http://bbs.mf100.org height=300 archive=revengeplayer.jar width=300 code=RevengePlayer.class><PARAM NAME="scrgpt" VALUE="CU\n MB' ML' MU' ML U ML' MU ML U' MB\n CU'\n MB' ML' MU' ML U ML' MU ML U' MB\n"><PARAM NAME="stickersup" VALUE="5,5,5,5,5,4,0,5,5,3,1,5,5,5,5,5"><PARAM NAME="scrgptlanguage" VALUE="SupersetENG"><PARAM NAME="colortable" VALUE="0xf8f8f8,0x00732f,0xff4400,0xffd200,0x003373,0x8c000f,0x858585"></APPLET>    

[ 本帖最后由明华于 2008-3-20 16:28 编辑 ]

作者: 乌木 时间: 2008-3-20 17:00:41

回复16楼：
 
原来这样，四块四块地作中心对称式调动。我再对全色四阶试试，结果如下。心块簇的位置确实成自镜像了。另三面也没问题，图略。如果两个魔方态的任一个，各心块能够再各自就地转合适的90°的话，则对称得更完美了。
 
 四阶心块自对称问题－2.GIF

[ 本帖最后由乌木于 2008-3-21 11:17 编辑 ]

附件: 四阶心块自对称问题－2.GIF (2008-3-20 17:00:41, 26.67 KB) / 下载次数 32
http://bbs.mf8-china.com/forum.php?mod=attachment&aid=MTM4NDN8YmIwNWE4ZmR8MTczMjMzNzM5NHwwfDA%3D

作者: 乌木 时间: 2008-3-21 11:17:30

至于14楼的心块簇自对称情况相当于同色的四个心块是整体一块，两个魔方态的心块簇对称程度够漂亮的了。

作者: 乌木 时间: 2008-5-12 16:20:06

同一“棱块子魔方”的任意态也有自己的镜像，比如下面左图的初态和右图的终态互为镜像：
 
<applet code="RubikPlayer.class" codebase=3 width="250" height="250">
<param name="ColorTable" value="0xf8f8f8,0x00732f,0xff4400,0xffd200,0x003373,0x8c000f,0x858585">
 <param name="scrptLanguage" value="SupersetENG">
 <param name="beta" value="29">
 <param name="stickersFront" value="6,5,6,1,6,4,6,4,6">
 <param name="stickersRight" value="6,5,6,2,6,2,6,1,6">
 <param name="stickersDown" value="6,0,6,0,6,0,6,2,6">
 <param name="stickersBack" value="6,0,6,3,6,1,6,1,6">
 <param name="stickersLeft" value="6,3,6,5,6,3,6,2,6">
 <param name="stickersUp" value="6,5,6,4,6,3,6,4,6">
</applet> <applet code="RubikPlayer.class" codebase=3 width="250" height="250">
<param name="ColorTable" value="0xf8f8f8,0x00732f,0xff4400,0xffd200,0x003373,0x8c000f,0x858585">
 <param name="scrptLanguage" value="SupersetENG">
 <param name="scrpt" value="MR2 MD2 MF2 CR2 ">
 <param name="beta" value="-29">
 <param name="stickersFront" value="6,5,6,1,6,4,6,4,6">
 <param name="stickersRight" value="6,5,6,2,6,2,6,1,6">
 <param name="stickersDown" value="6,0,6,0,6,0,6,2,6">
 <param name="stickersBack" value="6,0,6,3,6,1,6,1,6">
 <param name="stickersLeft" value="6,3,6,5,6,3,6,2,6">
 <param name="stickersUp" value="6,5,6,4,6,3,6,4,6">
</applet>

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