智力数字转盘 [复制链接]

jinyou

Rank: 8 Rank: 8

积分: 1918
帖子: 588
精华: 5
UID: 145
性别: 男

12^#

发表于 2006-4-20 19:13:27 |只看该作者

我准备研究这个转盘。

转盘转动后它的数字方向就反了，看起来就不舒服了，或理解为未完全复原。是否有这样的现象发生？

金优的解法镜像

大烟头

钻魔

Rank: 10

积分: 16322
帖子: 6926
精华: 47
UID: 68
性别: 男
兴趣爱好: 结构

13^#

发表于 2006-4-20 20:08:23 |只看该作者

金优的这个想法很有创新意义的。

在有数字的圆形面的基础上改成椭圆形，只要那椭圆形长的那个方向大于轨道的宽度，就可让数字不会随意转动，玩的过程中椭圆形上的数字只会出现正反两个方向。这样会提高转盘的复原难度。不要小看这样的改动，其难度提高不止是两倍啊！我没研究过这转盘所以算不出来，估计难度提高１０倍都很有可能的[em06]

大烟头专业魔方店

Rank: 8 Rank: 8

积分: 18050
帖子: 16478
精华: 9
UID: 449
性别: 男

14^#

发表于 2006-4-20 20:23:12 |只看该作者

那还不如索性改为矩形，即每个子改成“滑块”（或许其四个角要有点倒角）。这样的话，情况将如何，我还未玩过，慢慢再说。

Rank: 8 Rank: 8

积分: 18050
帖子: 16478
精华: 9
UID: 449
性别: 男

15^#

发表于 2006-4-21 01:36:41 |只看该作者

智力数字转盘数字方向是否复原初初探

随意弄了个例子，那样限制了各个子的自转之后，排序完成了，数字方向也没倒的。但一个例子不说明问题，多个例子也无说服力。哪位朋友从理论上探讨一下，何时倒？何时不倒？还是永远不倒？

设原来1～20次序排好且都是“正向”——各子的数字之底部朝向“大盘中心”为正向，反之为反向。下文中1表示正向，1’表示反向，等等。

[此贴子已经被作者于2006-4-21 10:48:07编辑过]

Rank: 8 Rank: 8

积分: 18050
帖子: 16478
精华: 9
UID: 449
性别: 男

16^#

发表于 2006-4-21 01:40:56 |只看该作者

本楼乱得难以辨认，没本事修理了。关于数字方向正倒问题不看也罢。

<

> 
<

0cm 0pt; TEXT-INDENT: mso-char-indent-count: 2.0? 24pt;>先任意打乱： 
<

>
<

0cm 0pt?>20 1 2 3 4 5 6 7 8 9 10……
<

>
<

0cm 0pt?>20 1 2 <?xml:namespace prefix = st1 /><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="6" UnitName="’">6’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="5" UnitName="’">5’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="4" UnitName="’">4’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="3" UnitName="’">3’</st1:chmetcnv>7 8 9 10……
<

>
<

>
<

0cm 0pt?>20 1 2 <st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="6" UnitName="’">6’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="5" UnitName="’">5’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="4" UnitName="’">4’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="3" UnitName="’">3’</st1:chmetcnv>7 8 9 10……
<;P>
<;P>
<;P 0cm 0pt?>20 1 4 5 6 <st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="2" UnitName="’">2’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="3" UnitName="’">3’</st1:chmetcnv>7 8 9 10……
<;P>
<;P>
<;P 0cm 0pt?>20 1 4 5 6 <st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="2" UnitName="’">2’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="3" UnitName="’">3’</st1:chmetcnv>7 8 9 10……
<;P>
<;P>
<;P 0cm 0pt?>20 1 4 5 6 <st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="8" UnitName="’">8’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="7" UnitName="’">7’</st1:chmetcnv>3 2 9 10……
<;P>
<;P>
<;P 0cm 0pt?>20 1 4 5 6 <st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="8" UnitName="’">8’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="7" UnitName="’">7’</st1:chmetcnv>3 2 9 10……
<;P>
<;P>
<;P 0cm 0pt?>20 <st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="6" UnitName="’">6’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="5" UnitName="’">5’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="4" UnitName="’">4’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="1" UnitName="’">1’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="8" UnitName="’">8’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="7" UnitName="’">7’</st1:chmetcnv>3 2 9 10……
<;P>
<;P>
<;P 0cm 0pt?>20 <st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="6" UnitName="’">6’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="5" UnitName="’">5’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="4" UnitName="’">4’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="1" UnitName="’">1’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="8" UnitName="’">8’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="7" UnitName="’">7’</st1:chmetcnv>3 2 9 10……
<;P>
<;P>
<;P 0cm 0pt?>20 <st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="6" UnitName="’">6’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="5" UnitName="’">5’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="4" UnitName="’">4’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="1" UnitName="’">1’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="8" UnitName="’">8’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="9" UnitName="’">9’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="2" UnitName="’">2’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="3" UnitName="’">3’</st1:chmetcnv>7 10……
<;P>
<;P> 
<;P align=right> 

[ 本帖最后由乌木于 2010-2-26 14:02 编辑 ]

Rank: 8 Rank: 8

积分: 18050
帖子: 16478
精华: 9
UID: 449
性别: 男

17^#

发表于 2006-4-21 01:53:00 |只看该作者

“忘记”上面的打乱过程，开始排序：

20 6’5’4’1’8’9’2’3’7 10……

20 1 4 5 6 8’9’2’3’7 10……（1排好）

20 1 4 5 6 8’9’2’3’7 10……

20 1 4 5 2 9 8 6’3’7 10……

20 1 4 8’9’2’5’ 6’3’7 10……

20 1 2 9 8 4’5’ 6’3’7 10……（2排好）

20 1 2 9 8 4’5’ 6’3’7 10……

20 1 2 9 8 3 6 5 4 7 10……

20 1 2 9 5’6’3’8’4 7 10……

20 1 2 3 6 5 9’8’4 7 10……(3排好)

20 1 2 3 6 5 9’8’4 7 10……

20 1 2 3 6 5 7’4’8 9 10……

20 1 2 3 4 7 5’6’8 9 10……（4排好；7要右跳两格，下面让5和6代劳：）

[此贴子已经被作者于2006-4-21 2:02:26编辑过]

Rank: 8 Rank: 8

积分: 18050
帖子: 16478
精华: 9
UID: 449
性别: 男

18^#

发表于 2006-4-21 02:03:42 |只看该作者

20 1 2 3 4 7 5’6’8 9 10……（5’要右跳四格）

20 1 2 3 4 7 9’8’6 5 10……

20 1 2 3 4 7 9’10’ 5’6’8 11……

20 1 2 3 4 7 6 5 10 9 8 11……

20 1 2 3 4 7 6 8’9’10’5’11……（5’右跳了四格）

20 1 2 3 4 7 6 8’9’10’5’11……（6要左跳四格）

20 1 2 6’7’4’3’8’9’10’5’11……

20 1 4 7 6 2’3’8’9’10’5’11……

20 1 4 3 2 6’7’8’9’10’5’11……

20 1 6 2’3’4’7’8’9’10’5’11……（6左跳了四格）

[此贴子已经被作者于2006-4-21 2:06:48编辑过]

Rank: 8 Rank: 8

积分: 18050
帖子: 16478
精华: 9
UID: 449
性别: 男

19^#

发表于 2006-4-21 02:11:27 |只看该作者

<

0cm 0pt; TEXT-INDENT: mso-char-indent-count: 2.0? 24pt;>20 1 6 <?xml:namespace prefix = st1 /><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="2" UnitName="’">2’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="3" UnitName="’">3’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="4" UnitName="’">4’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="7" UnitName="’">7’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="8" UnitName="’">8’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="9" UnitName="’">9’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="10" UnitName="’">10’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="5" UnitName="’">5’</st1:chmetcnv>11 ……（<st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="5" UnitName="’">5’</st1:chmetcnv>要左跳四格）
<

>
<

0cm 0pt; TEXT-INDENT: mso-char-indent-count: 2.0? 24pt;>20 1 6 <st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="2" UnitName="’">2’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="3" UnitName="’">3’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="4" UnitName="’">4’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="7" UnitName="’">7’</st1:chmetcnv>5 10 9 8 11……
<

>
<

0cm 0pt; TEXT-INDENT: mso-char-indent-count: 2.0? 24pt;>20 1 6 <st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="2" UnitName="’">2’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="3" UnitName="’">3’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="4" UnitName="’">4’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="7" UnitName="’">7’</st1:chmetcnv>5 10 9 8 11……
<

>
<

0cm 0pt; TEXT-INDENT: mso-char-indent-count: 2.0? 24pt;>20 1 6 <st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="2" UnitName="’">2’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="3" UnitName="’">3’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="4" UnitName="’">4’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="9" UnitName="’">9’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="10" UnitName="’">10’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="5" UnitName="’">5’</st1:chmetcnv>7 8 11……
<;P>
<;P>
<;P 0cm 0pt; TEXT-INDENT: mso-char-indent-count: 2.0? 24pt;>20 1 6 <st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="2" UnitName="’">2’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="3" UnitName="’">3’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="4" UnitName="’">4’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="9" UnitName="’">9’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="10" UnitName="’">10’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="5" UnitName="’">5’</st1:chmetcnv>7 8 11……
<;P>
<;P>
<;P 0cm 0pt; TEXT-INDENT: mso-char-indent-count: 2.0? 24pt;>20 1 6 <st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="2" UnitName="’">2’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="3" UnitName="’">3’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="4" UnitName="’">4’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="9" UnitName="’">9’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="8" UnitName="’">8’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="7" UnitName="’">7’</st1:chmetcnv>5 10 11……
<;P>
<;P>
<;P 0cm 0pt; TEXT-INDENT: mso-char-indent-count: 2.0? 24pt;>20 1 6 <st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="2" UnitName="’">2’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="3" UnitName="’">3’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="4" UnitName="’">4’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="9" UnitName="’">9’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="8" UnitName="’">8’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="7" UnitName="’">7’</st1:chmetcnv>5 10 11……
<;P>
<;P>
<;P 0cm 0pt; TEXT-INDENT: mso-char-indent-count: 2.0? 24pt;>20 1 6 <st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="2" UnitName="’">2’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="3" UnitName="’">3’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="4" UnitName="’">4’</st1:chmetcnv><st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="5" UnitName="’">5’</st1:chmetcnv>7 8 9 10 11……（<st1:chmetcnv w:st="on" TCSC="0" NumberType="1" Negative="False" HasSpace="False" SourceValue="5" UnitName="’">5’</st1:chmetcnv>左跳了四格）

20 1 6 2’3’4’ 5’7 8 9 10 11……（6要右跳四格）
20 1 4 3 2 6’ 5’7 8 9 10 11……
20 1 4 3 2 6’5’ 7 8 9 10 11……
20 1 4 5 6 2’3’ 7 8 9 10 11……
20 1 4 5 6 2’ 3’7 8 9 10 11……
20 1 2 6’5’4’ 3’7 8 9 10 11……
20 1 2 6’5’4’3’ 7 8 9 10 11……
20 1 2 3 4 5 6 7 8 9 10 11……
（6右跳了四格。完成排序且数字无倒。但仅仅一例，不算证明。）

[ 本帖最后由乌木于 2010-2-26 14:12 编辑 ]