正六面体自镜像魔方

明华

<BR><BR>&nbsp;&nbsp;&nbsp; 中层镜像公式：<BR><BR><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><BR><BR>&nbsp;&nbsp;&nbsp;

[ 本帖最后由 明华 于 2008-3-20 13:05 编辑 ]

明华

<BR><BR>&nbsp;&nbsp;&nbsp; 内对角块镜像公式：（注意：蓝-绿、黄-白）<BR><BR><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><BR><BR>&nbsp;&nbsp;&nbsp;

[ 本帖最后由 明华 于 2008-3-20 13:05 编辑 ]

明华

&nbsp;&nbsp;&nbsp;&nbsp; <BR>&nbsp; <BR>&nbsp;&nbsp;&nbsp; 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。<BR>&nbsp; <BR>&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>

[ 本帖最后由 明华 于 2008-3-20 13:15 编辑 ]

乌木

<P>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。</P>
<P>&nbsp;</P>
<P> </P>

乌木

“心角块”是否改叫“偏心块”更合理？

明华

&nbsp; <BR>&nbsp; <BR>&nbsp;&nbsp;&nbsp; “心角块”是 pengw 大师发明的叫法，这个您得同他讲！<BR>&nbsp; <BR>&nbsp; <BR>&nbsp;&nbsp;&nbsp; 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！ <BR>这样用：<BR>&nbsp; <BR>&nbsp; <BR><BR>&nbsp;&nbsp;&nbsp; 内对角块镜像公式：（注意：蓝-绿、黄-白）<BR><BR><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><BR><BR>&nbsp;&nbsp;&nbsp;

[ 本帖最后由 明华 于 2008-3-20 16:28 编辑 ]

明华

<IMG src="http://bbs.mf8-china.com/attachments/month_0803/20080320_3f0d06c2ff99b2dc90d91VBlSnowNfV2.gif" border=0><BR><BR><BR>&nbsp;&nbsp;&nbsp; 利用楼上的公式也可以 互换 6、7 和 互换 10、11 的位置：<BR><BR><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><BR><BR>&nbsp;&nbsp;&nbsp;

[ 本帖最后由 明华 于 2008-3-20 16:28 编辑 ]

乌木

<P>回复16楼：</P>
<P>&nbsp;</P>
<P>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。</P>
<P>&nbsp;</P>
<P> </P>
<P>&nbsp;</P>

[ 本帖最后由 乌木 于 2008-3-21 11:17 编辑 ]

乌木

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。

乌木

<P>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：</P>
<P>&nbsp;</P>
<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>