<p>从理论上说是可行的,常规的设计角块是由三个方向固定的,楼主所说的阶角块与棱块是由两个方向固定应该也是可以的。</p><p>老外有相似的这种魔方设计,但老外所设计的角块还是由三个方向固定的,应该可推广成楼主的那种</p><p>见:<a href="http://twistypuzzles.com/forum/viewtopic.php?t=6187&highlight=pyraminx">http://twistypuzzles.com/forum/viewtopic.php?t=6187&highlight=pyraminx</a></p><p>Sorry folks with dial-up this may be slow. <br/><br/>Anyways, lets start at the beginning. This idea came to me after seeing this video: <br/><br/><a class="postlink" href="http://tinyurl.com/y4jrev" target="_blank">http://tinyurl.com/y4jrev</a>
<br/><br/>It was pointed out in this thread: <br/><br/><a class="postlink" href="http://twistypuzzles.com/forum/viewtopic.php?t=5653" target="_blank">http://twistypuzzles.com/forum/viewtopic.php?t=5653</a>
<br/><br/>In that thread you can also see the beginnings of this idea here: <br/><br/><img title="Image" alt="Image" src="http://www.wwwmwww.com/Puzzle/hollow555.png" border="0"/>
<br/><br/>The idea is further discussed here: <br/><br/><a class="postlink" href="http://twistypuzzles.com/forum/viewtopic.php?t=5719" target="_blank">http://twistypuzzles.com/forum/viewtopic.php?t=5719</a>
<br/><br/>and here: <br/><br/><a class="postlink" href="http://twistypuzzles.com/forum/viewtopic.php?t=1359&start=50" target="_blank">http://twistypuzzles.com/forum/viewtopic.php?t=1359&start=50</a>
<br/><br/>And I can already see some of you saying "That's a 5x5x5, why is this thread titled a new 3x3x3?" Give me a minute and I'll explain... <br/><br/>Lets build the 5x5x5 first. Its built from 6 different pieces and for each I have an animation and a picture I want to post. I'll put each in its own post below. <br/><br/>Carl</p>作者: 大烟头 时间: 2007-4-15 22:00:09
Lets start with the corners: <br/><br/><img title="Image" alt="Image" src="http://www.wwwmwww.com/Puzzle/Corner.gif" border="0"/>
<br/><br/>You need 8 of these: <br/><br/><img title="Image" alt="Image" src="http://www.wwwmwww.com/Puzzle/Corner.png" border="0"/>
<br/><br/>Carl作者: 大烟头 时间: 2007-4-15 22:00:37
Next come the edge pieces: <br/><br/><img title="Image" alt="Image" src="http://www.wwwmwww.com/Puzzle/Edge1.gif" border="0"/>
<br/><br/>You need 24 of these: <br/><br/><img title="Image" alt="Image" src="http://www.wwwmwww.com/Puzzle/Edge1.png" border="0"/>
<br/><br/>Carl作者: 大烟头 时间: 2007-4-15 22:01:18
The other edge piece: <br/><br/><img title="Image" alt="Image" src="http://www.wwwmwww.com/Puzzle/Edge2.gif" border="0"/>
<br/><br/>You need 12 of these: <br/><br/><img title="Image" alt="Image" src="http://www.wwwmwww.com/Puzzle/Edge2.png" border="0"/>
<br/><br/>Carl作者: 大烟头 时间: 2007-4-15 22:01:47
Now on to the face pieces: <br/><br/><img title="Image" alt="Image" src="http://www.wwwmwww.com/Puzzle/Face1.gif" border="0"/>
<br/><br/>You need 24 of these: <br/><br/><img title="Image" alt="Image" src="http://www.wwwmwww.com/Puzzle/Face1.png" border="0"/>
<br/><br/>Carl作者: 大烟头 时间: 2007-4-15 22:02:14
Another face piece: <br/><br/><img title="Image" alt="Image" src="http://www.wwwmwww.com/Puzzle/Face2.gif" border="0"/>
<br/><br/>Again you need 24 of these: <br/><br/><img title="Image" alt="Image" src="http://www.wwwmwww.com/Puzzle/Face2.png" border="0"/>
<br/><br/>Carl作者: 大烟头 时间: 2007-4-15 22:02:45
And finally the face centers: <br/><br/><img title="Image" alt="Image" src="http://www.wwwmwww.com/Puzzle/Face3.gif" border="0"/>
<br/><br/>You just need 6 of these: <br/><br/><img title="Image" alt="Image" src="http://www.wwwmwww.com/Puzzle/Face3.png" border="0"/>
<br/><br/>Carl作者: 大烟头 时间: 2007-4-15 22:08:26
<table cellspacing="0" cellpadding="0" width="100%" border="0"><tbody><tr><td class="postbody" valign="top">Now if you add that up: <br/><br/>8+24+12+24+24+6 = 98 <br/><br/>And: <br/><br/>5x5x5 = 125 <br/><br/>The difference is 27 or 3x3x3. <br/><br/>So place a working 3x3x3 made of 27 identical shapes inside this 5x5x5 shell. I'll leave it as an excersise to work out the exact shape of those 27 identical pieces. <img alt="Smile" src="http://twistypuzzles.com/forum/images/smiles/icon_smile.gif" border="0"/>
<br/><br/>Think of it as a 3x3x3 that wears its innards on the outside. This technique can be used to make a functional 7x7x7 out of 343 identical pieces. To my knowledge its the only way to make a working 7x7x7 out of identical sized cubies where the corner cubies don't fall off or the shape of the cube is deformed in some way. You just need a clear 9x9x9 case or shell to put it in. You can start with something like this and do what I did above if you wanted to. <br/><br/><img title="Image" alt="Image" src="http://www.wwwmwww.com/Puzzle/7x7x7.png" border="0"/>
<br/><br/>Enjoy, <br/>Carl</td></tr><tr><td class="gensmall" valign="bottom" height="40"><span class="postbody"></span><span class="postdetails"><br/><br/>Last edited by wwwmwww on Tue Jan 30, 2007 10:24 am; edited 1 time in total</span></td></tr></tbody></table><p><hr/>老外这九阶的棱块的面就变成长方形的了,如果按魔友纸魔方所设计的思路,角块与棱块就可做到与心块的面一样大了,这样旋转45度时角块是由两个面固定,应该是不会丢下来的。</p><p></p>作者: yingmu 时间: 2007-4-17 08:43:59