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正六面体自镜像魔方 [复制链接]

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发表于 2008-3-20 11:10:42 |只看该作者 |倒序浏览
&nbsp; <BR>&nbsp; <BR>&nbsp;&nbsp;&nbsp;&nbsp; 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:<BR>&nbsp;&nbsp;<BR>&nbsp;&nbsp;&nbsp;<BR>&nbsp;&nbsp;&nbsp;&nbsp;<BR>&nbsp;&nbsp;&nbsp;&nbsp; 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<BR>“合法状态” !<BR>&nbsp; <BR>&nbsp; <BR>&nbsp;&nbsp;&nbsp;&nbsp; 请大家参考: <A href="http://bbs.mf8-china.com/viewthread.php?tid=3132"><FONT color=blue><STRONG>The Shortest Solver Of Dino Cube</STRONG></FONT></A>&nbsp;&nbsp;<BR>&nbsp; <BR>&nbsp; &nbsp; <BR>&nbsp; <BR>&nbsp;&nbsp;&nbsp;&nbsp; <A href="http://bbs.mf8-china.com/viewthread.php?tid=3132">http://bbs.mf8-china.com/viewthread.php?tid=3132</A><BR>&nbsp;&nbsp;<BR>&nbsp;&nbsp;<BR>&nbsp;&nbsp;<BR>&nbsp;&nbsp;&nbsp;
<P>&nbsp;&nbsp;&nbsp; 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 <BR>所 不 具备的)。</P>
<P>&nbsp;&nbsp;&nbsp; 如 原始魔方 <IMG alt="" src="http://bbs.mf8-china.com/data/attachment/forum/dvbbs/2006-12/20061259103269040.gif" border=0>&nbsp;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:</P>
<P>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Generate in many ways&nbsp;&nbsp; <BR><IMG src="http://bbs.mf8-china.com/data/attachment/forum/dvbbs/2006-12/20061258392416731.gif" border=0><BR>&nbsp;&nbsp;&nbsp;&nbsp;<BR>&nbsp;1)&nbsp; 0 1' 7 4' 2' 5 4' 6 5 4 <BR>&nbsp;2)&nbsp; 0 3' 2 4' 5' 7 4' 1 7 4 <BR>&nbsp;3)&nbsp; 0 6' 5 4' 7' 2 4' 3 2 4 <BR>&nbsp;4)&nbsp; 0' 1 2' 4 7 5' 4 3' 5' 4' <BR>&nbsp;5)&nbsp; 0' 3 5' 4 2 7' 4 6' 7' 4' <BR>&nbsp;6)&nbsp; 0' 6 7' 4 5 2' 4 1' 2' 4' <BR>&nbsp;7)&nbsp; 1 0' 3 5' 6' 4 5' 2 4 5 <BR>&nbsp;8)&nbsp; 1 2' 4 5' 3' 6 5' 7 6 5 <BR>&nbsp;9)&nbsp; 1 7' 6 5' 4' 3 5' 0 3 5 <BR>&nbsp;10)&nbsp; 1' 0 6' 5 3 4' 5 7' 4' 5' <BR>&nbsp;11)&nbsp; 1' 2 3' 5 4 6' 5 0' 6' 5' <BR>&nbsp;12)&nbsp; 1' 7 4' 5 6 3' 5 2' 3' 5' <BR>&nbsp;13)&nbsp; 2 1' 0 6' 7' 5 6' 3 5 6 <BR>&nbsp;14)&nbsp; 2 3' 5 6' 0' 7 6' 4 7 6 <BR>&nbsp;15)&nbsp; 2 4' 7 6' 5' 0 6' 1 0 6 <BR>&nbsp;16)&nbsp; 2' 1 7' 6 0 5' 6 4' 5' 6' <BR>&nbsp;17)&nbsp; 2' 3 0' 6 5 7' 6 1' 7' 6' <BR>&nbsp;18)&nbsp; 2' 4 5' 6 7 0' 6 3' 0' 6' <BR>&nbsp;19)&nbsp; 3 0' 6 7' 1' 4 7' 5 4 7 <BR>&nbsp;20)&nbsp; 3 2' 1 7' 4' 6 7' 0 6 7 <BR>&nbsp;21)&nbsp; 3 5' 4 7' 6' 1 7' 2 1 7 <BR>&nbsp;22)&nbsp; 3' 0 1' 7 6 4' 7 2' 4' 7' <BR>&nbsp;23)&nbsp; 3' 2 4' 7 1 6' 7 5' 6' 7' <BR>&nbsp;24)&nbsp; 3' 5 6' 7 4 1' 7 0' 1' 7' <BR>&nbsp;25)&nbsp; 4 2' 3 0' 1' 6 0' 5 6 0 <BR>&nbsp;26)&nbsp; 4 5' 6 0' 3' 1 0' 7 1 0 <BR>&nbsp;27)&nbsp; 4 7' 1 0' 6' 3 0' 2 3 0 <BR>&nbsp;28)&nbsp; 4' 2 1' 0 3 6' 0 7' 6' 0' <BR>&nbsp;29)&nbsp; 4' 5 3' 0 6 1' 0 2' 1' 0' <BR>&nbsp;30)&nbsp; 4' 7 6' 0 1 3' 0 5' 3' 0' <BR>&nbsp;31)&nbsp; 5 3' 0 1' 2' 7 1' 6 7 1 <BR>&nbsp;32)&nbsp; 5 4' 2 1' 7' 0 1' 3 0 1 <BR>&nbsp;33)&nbsp; 5 6' 7 1' 0' 2 1' 4 2 1 <BR>&nbsp;34)&nbsp; 5' 3 2' 1 0 7' 1 4' 7' 1' <BR>&nbsp;35)&nbsp; 5' 4 7' 1 2 0' 1 6' 0' 1' <BR>&nbsp;36)&nbsp; 5' 6 0' 1 7 2' 1 3' 2' 1' <BR>&nbsp;37)&nbsp; 6 0' 1 2' 3' 4 2' 7 4 2 <BR>&nbsp;38)&nbsp; 6 5' 3 2' 4' 1 2' 0 1 2 <BR>&nbsp;39)&nbsp; 6 7' 4 2' 1' 3 2' 5 3 2 <BR>&nbsp;40)&nbsp; 6' 0 3' 2 1 4' 2 5' 4' 2' <BR>&nbsp;41)&nbsp; 6' 5 4' 2 3 1' 2 7' 1' 2' <BR>&nbsp;42)&nbsp; 6' 7 1' 2 4 3' 2 0' 3' 2' <BR>&nbsp;43)&nbsp; 7 1' 2 3' 0' 5 3' 4 5 3 <BR>&nbsp;44)&nbsp; 7 4' 5 3' 2' 0 3' 6 0 3 <BR>&nbsp;45)&nbsp; 7 6' 0 3' 5' 2 3' 1 2 3 <BR>&nbsp;46)&nbsp; 7' 1 0' 3 2 5' 3 6' 5' 3' <BR>&nbsp;47)&nbsp; 7' 4 2' 3 5 0' 3 1' 0' 3' <BR>&nbsp;48)&nbsp; 7' 6 5' 3 0 2' 3 4' 2' 3' <BR>&nbsp; </P><BR>&nbsp;&nbsp;&nbsp;<BR>

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2#
发表于 2008-3-20 11:13:04 |只看该作者
&nbsp;&nbsp; <BR>&nbsp; <BR>&nbsp;&nbsp;&nbsp;&nbsp; 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<BR>的 正六面体 N 阶魔方(自镜像) 为例说明:<BR>&nbsp;&nbsp;<BR>&nbsp;&nbsp;<BR>&nbsp;&nbsp;&nbsp;&nbsp;<BR>&nbsp;&nbsp;&nbsp; 实际上,只有 正六面体 N 阶魔方 ( N &gt; 2) 的(中层 及 内对角块)<BR>才能构成 正六面体 N 阶自镜像魔方 。<BR>&nbsp;&nbsp;<BR>&nbsp;&nbsp;&nbsp; 如:<BR>&nbsp; <BR>&nbsp; <BR><BR>&nbsp;&nbsp;&nbsp; 正六面体三阶自镜像魔方: <BR><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><BR><BR><BR><BR>&nbsp;&nbsp;&nbsp; 正六面体四阶自镜像魔方: <BR><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> <BR><BR><BR><BR>&nbsp;&nbsp;&nbsp;正六面体五阶自镜像魔方: <BR><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> <BR><BR><BR>&nbsp; <BR>&nbsp;&nbsp;&nbsp; 公式不好给出(太麻烦了),只给出 <FONT color=blue><STRONG>真正的 正六面体 N 阶自镜像魔方</STRONG></FONT> !<BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<BR>&nbsp;&nbsp;<BR>&nbsp;&nbsp;&nbsp;&nbsp;<BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<BR>&nbsp;&nbsp;&nbsp; 注:<FONT color=blue><STRONG>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</STRONG></FONT> 。<BR>&nbsp;&nbsp;<BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<BR>&nbsp;&nbsp;&nbsp;&nbsp;<BR>&nbsp;&nbsp;<BR>

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发表于 2008-3-20 11:17:19 |只看该作者
&nbsp; <BR>&nbsp; <BR>&nbsp; <BR>&nbsp;&nbsp;&nbsp;&nbsp; 请大家注意: 上面几个例子与 下面这两个 <FONT color=red size=6><STRONG>假</STRONG></FONT>自镜像魔方 的区别!不要被 这些<BR><FONT color=red size=6><STRONG>假</STRONG></FONT>自镜像魔方 迷惑(忽悠)!<BR>&nbsp;&nbsp;<BR>&nbsp;&nbsp;<BR><BR>&nbsp;&nbsp;&nbsp; 正六面体四阶<FONT color=red size=6><STRONG>假</STRONG></FONT>自镜像魔方: <BR><BR><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><BR><BR><BR><BR>&nbsp;&nbsp;&nbsp; 正六面体五阶<FONT color=red size=6><STRONG>假</STRONG></FONT>自镜像魔方: <BR><BR><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><BR><BR><BR>&nbsp;&nbsp;<BR>&nbsp; <BR>&nbsp; <BR>&nbsp; <BR>&nbsp; <BR>&nbsp; <BR><BR>&nbsp;&nbsp;<BR>&nbsp;

[ 本帖最后由 明华 于 2008-3-20 11:33 编辑 ]

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发表于 2008-3-20 11:22:02 |只看该作者
<BR><BR>&nbsp;&nbsp;&nbsp; 正六面体六阶自镜像魔方:<BR><BR><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><BR><BR>&nbsp;&nbsp;&nbsp;

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发表于 2008-3-20 11:22:41 |只看该作者
<BR><BR>&nbsp;&nbsp;&nbsp; 正六面体七阶自镜像魔方:<BR><BR>
<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><BR><BR>&nbsp;&nbsp;&nbsp;

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发表于 2008-3-20 11:23:09 |只看该作者
<BR><BR>&nbsp;&nbsp;&nbsp; 正六面体八阶自镜像魔方:<BR><BR>
<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><BR><BR>&nbsp;&nbsp;&nbsp;

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发表于 2008-3-20 11:23:41 |只看该作者
<BR><BR>&nbsp;&nbsp;&nbsp; 正六面体九阶自镜像魔方:<BR><BR>
<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><BR><BR>&nbsp;&nbsp;&nbsp;

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发表于 2008-3-20 11:58:27 |只看该作者
&nbsp; <BR>&nbsp; <BR>&nbsp;&nbsp;&nbsp; 判断 正六面体自镜像魔方 的方法为,看这个魔方的相关<FONT color=blue><STRONG>所有块</STRONG></FONT> 能否 <FONT color=blue><STRONG>同时</STRONG></FONT>到达其<BR>关于 几何中心 对称的块 的位置! <BR>&nbsp; <BR>&nbsp; <BR>&nbsp;&nbsp;&nbsp; 如果“能”,则该 正六面体魔方 是 正六面体自镜像魔方 !<BR>&nbsp; <BR>&nbsp; <BR>&nbsp;&nbsp;&nbsp; 如果“否”,则该 正六面体魔方 非 正六面体自镜像魔方 !<BR>&nbsp; <BR>&nbsp; <BR>&nbsp; <BR>

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9#
发表于 2008-3-20 12:20:22 |只看该作者
<P>
原帖由 <I>明华</I> 于 2008-3-20 11:58 发表 <A href="http://bbs.mf8-china.com/redirect.php?goto=findpost&amp;pid=100080&amp;ptid=6937" target=_blank><IMG alt="" src="http://bbs.mf8-china.com/images/common/back.gif" border=0></A> &nbsp; &nbsp; &nbsp;&nbsp;&nbsp; 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! &nbsp; &nbsp; &nbsp;&nbsp;&nbsp; 如果“能”,则该 正六面体魔方 ...
</P>
<P>&nbsp;</P>
<P>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"> </P>
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<P>----------------------</P>
<P>&nbsp;</P>
<P><FONT color=blue>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。</FONT><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"> </P>
<P>&nbsp;</P>
<P><FONT color=blue>如果说对了,这方法真是好方法!</FONT></P>

[ 本帖最后由 乌木 于 2008-3-20 13:01 编辑 ]

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10#
发表于 2008-3-20 13:01:00 |只看该作者
原帖由 <I>乌木</I> 于 2008-3-20 12:20 发表 <A href="http://bbs.mf8-china.com/redirect.php?goto=findpost&amp;pid=100085&amp;ptid=6937" target=_blank><IMG alt="" src="http://bbs.mf8-china.com/images/common/back.gif" border=0></A>&nbsp;&nbsp;<BR><FONT color=#0000ff>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"></FONT> <IMG alt="" src="http://bbs.mf8-china.com/images/smilies/default/shocked.gif" border=0 smilieid="6">&nbsp;
<BR>&nbsp; <BR>&nbsp; <BR>&nbsp;&nbsp;&nbsp; 非常正确!<BR>&nbsp; <BR>&nbsp;&nbsp;&nbsp; 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<BR>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 <BR>的位置!”&nbsp; 从而 为她正名 ---“正六面体自镜像魔方” !<BR>&nbsp; <BR>&nbsp;

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