本帖最后由 hubo5563 于 2024-8-22 22:44 编辑
正方体魔方的转轴分析
单纯转面魔方
切割参数:1,1,0,1,0.0001,0,0; 二阶 最深切割
切割参数:1,1,0,1,0.333,0,0; 三阶 代表浅切
每个轴的停靠角度都一样:
转面:节点4
有效停靠角度:0.0,90.0,180.0,270.0,
结论:单纯转面魔方不会有jumble转动。
单纯转角魔方:
切割参数:1,1,1,1,0.0001,0,0; 斜转 最深切割
切割参数:1,1,1,1,0.5680,0.0,0.0,0; 转角1魔方 代表浅切
每个轴的停靠角度都一样:
转角:节点3,
有效停靠角度:0.0,120.0,240.0,
结论:单纯转角魔方不会有jumble转动。
单纯转棱魔方:
切割参数:1,1,2,1,0.0001,0,0; 24板魔方 最深切割
切割参数:1,1,2,1,0.9267,0.0,0; 直升机魔方1 代表浅切
每个轴的停靠角度都一样:
转棱:节点6,
有效停靠角度:0.0,70.52877937,109.47122063,180.0,250.52877937,289.47122063,
结论:单纯转棱魔方只有一种jumble转动,就是正转或倒转70.53度,或180度后的正转或倒转70.53度。
转面转角魔方
切割参数:1,2,0,1,0.0001,0,0,1,1,0.0001,0,0; 深切
转面:节点4,
有效停靠角度:0.0,90.0,180.0,270.0,
转角:节点3,
有效停靠角度:0.0,120.0,240.0,
结论:转面转角混合转动魔方不会有jumble转动,都是正常魔方。
转棱转面魔方
切割参数:1,2,0,1,0.8,0,0,2,1,0.4,0,0; 深浅不同
转面:节点4
有效停靠角度:0.0,90.0,180.0,270.0,
转棱:节点6
有效停靠角度:0.0,70.52877937,109.47122063,180.0,250.52877937,289.47122063,
切割参数:1,2,0,1,0.8,0,0,2,1,0.8,0,0; 两轴切割深度相同浅切
转面:节点8
有效停靠角度:0.0,45.0,90.0,135.0,180.0,225.0,270.0,315.0,
转棱:节点6
有效停靠角度:0.0,70.52877937,109.47122063,180.0,250.52877937,289.47122063,
切割参数:1,2,0,1,0.0001,0,0,2,1,0.0001,0,0; 深切
转面:节点8
有效停靠角度:0.0,45.0,90.0,135.0,180.0,225.0,270.0,315.0,
转棱:节点8,
有效停靠角度:0.0,70.52877937,90.0,109.47122063,180.0,250.52877937,270.0,289.47122063,
结论:转棱转面混合魔方,转棱转面的切割面不同时,转面轴只有常规转动,转棱也是只有转棱轴的jumble转动。
当转棱转面轴切割深度和切割面曲率相同时,转面有转动45度的jumble转动。
转棱轴切割较浅时,转棱只有单纯转棱的jumble转动,当切割深度达到一定深度,并且两种切割用的切割面一样,切割深度一样时,转棱除了单纯转棱的jumble转动外,还有一种90度转动的jumble转动。
转棱转角魔方
切割参数:1,2,1,1,0.0001,0,0,2,1,0.5,0,0; 切割深度不同 角深切棱浅切
转角:节点6
有效停靠角度:0.0,60.0,120.0,180.0,240.0,300.0,
转棱:节点6
有效停靠角度:0.0,70.52877937,109.47122063,180.0,250.52877937,289.47122063,
切割参数:1,2,1,1,0.5,0,0,2,1,0.0001,0,0; 切割深度不同 棱深切角浅切
转角:节点6
有效停靠角度:0.0,60.0,120.0,180.0,240.0,300.0,
转棱:节点6
有效停靠角度:0.0,70.52877937,109.47122063,180.0,250.52877937,289.47122063,
切割参数:1,2,1,1,0.8,0,0,2,1,0.8,0,0; 切割深度相同 浅切
转角:节点6
0.0,60.0,120.0,180.0,240.0,300.0,
转棱:节点6
有效停靠角度:0.0,70.52877937,109.47122063,180.0,250.52877937,289.47122063,
切割参数:1,2,1,1,0.5,0,0,2,1,0.5,0,0; 切割深度相同 中切
转角:节点6
0.0,60.0,120.0,180.0,240.0,300.0,
转棱:节点10
有效停靠角度:0.0,35.26438968,70.52877937,109.47122063,144.73561032,180.0,215.26438968,250.52877937,289.47122063,324.73561032,
切割参数:1,2,1,1,0.0001,0,0,2,1,0.0001,0,0; 切割深度相同 深切
转角:节点6
有效停靠角度:0.0,60.0,120.0,180.0,240.0,300.0,
转棱:节点10
有效停靠角度:0.0,35.26438968,70.52877937,109.47122063,144.73561032,180.0,215.26438968,250.52877937,289.47122063,324.73561032,
结论:转棱转角混合魔方,转角都增加了转动60度的jumble转动。
转棱,在切割面类型或切割深度不同时,或转棱轴浅切时只有单纯转棱的jumble转动,切割达到一定深度,并且两种切割用的切割面一样,切割深度一样时,转棱除了单纯转棱的jumble转动外,还有一种转动正传和倒转的35.2644度的jumble转动。
转面转角转棱魔方
切割参数:1,3,0,1,0.0001,0,0,2,1,0.3,0,0,1,1,0.5,0,0; 三个转轴切割面互不相同
转面:节点4
有效停靠角度:0.0,90.0,180.0,270.0,
转角:节点6
有效停靠角度:0.0,60.0,120.0,180.0,240.0,300.0,
转棱:节点6
有效停靠角度:0.0,70.52877937,109.47122063,180.0,250.52877937,289.47122063,
切割参数:1,3,0,1,0.5,0,0,2,1,0.3,0,0,1,1,0.5,0,0; 转面转角相同 转棱深切
转面:节点4,
有效停靠角度:0.0,90.0,180.0,270.0,
转角:节点6,
有效停靠角度:0.0,60.0,120.0,180.0,240.0,300.0,
转棱:节点10,
有效停靠角度:0.0,54.73561032,70.52877937,109.47122063,125.26438968,180.0,234.73561032,250.52877937,289.47122063,305.26438968,
切割参数:1,3,0,1,0.3,0,0,2,1,0.8,0,0,1,1,0.3,0,0; 转面转角相同 转棱浅切
转面:节点4,
有效停靠角度:0.0,90.0,180.0,270.0,
转角:节点6,
有效停靠角度:0.0,60.0,120.0,180.0,240.0,300.0,
转棱:节点10,
有效停靠角度:0.0,54.73561032,70.52877937,109.47122063,125.26438968,180.0,234.73561032,250.52877937,289.47122063,305.26438968,
切割参数:1,3,0,1,0.8,0,0,2,1,0.8,0,0,1,1,0.3,0,0; 转面转棱相同浅切 转角深切
转面:节点8,
有效停靠角度:0.0,45.0,90.0,135.0,180.0,225.0,270.0,315.0,
转角:节点6,
有效停靠角度:0.0,60.0,120.0,180.0,240.0,300.0,
转棱:节点6,
有效停靠角度:0.0,70.52877937,109.47122063,180.0,250.52877937,289.47122063,
切割参数:1,3,0,1,0.3,0,0,2,1,0.3,0,0,1,1,0.8,0,0; 转面转棱相同深切 转角浅切
转面:节点8,
有效停靠角度:0.0,45.0,90.0,135.0,180.0,225.0,270.0,315.0,
转角:节点6,
有效停靠角度:0.0,60.0,120.0,180.0,240.0,300.0,
转棱:节点8,
有效停靠角度:0.0,70.52877937,90.0,109.47122063,180.0,250.52877937,270.0,289.47122063,
切割参数:1,3,0,1,0.0001,0,0,2,1,0.8,0,0,1,1,0.8,0,0; 转棱转角相同浅切 转面深切
转面:节点4
有效停靠角度:0.0,90.0,180.0,270.0,
转角:节点6,
有效停靠角度:0.0,60.0,120.0,180.0,240.0,300.0,
转棱:节点6,
有效停靠角度:0.0,70.52877937,109.47122063,180.0,250.52877937,289.47122063,
切割参数:1,3,0,1,0.0001,0,0,2,1,0.5,0,0,1,1,0.5,0,0; 转棱转角相同中切 转面深切
转面:节点4
有效停靠角度:0.0,90.0,180.0,270.0,
转角:节点6,
有效停靠角度:0.0,60.0,120.0,180.0,240.0,300.0,
转棱:节点10,
有效停靠角度:0.0,35.26438968,70.52877937,109.47122063,144.73561032,180.0,215.26438968,250.52877937,289.47122063,324.73561032,
切割参数:1,3,0,1,0.333,0,0,2,1,0.0001,0,0,1,1,0.0001,0,0; 转棱转角相同深切 转面浅切
转面:节点4
有效停靠角度:0.0,90.0,180.0,270.0,
转角:节点6,
有效停靠角度:0.0,60.0,120.0,180.0,240.0,300.0,
转棱:节点10,
有效停靠角度:0.0,35.26438968,70.52877937,109.47122063,144.73561032,180.0,215.26438968,250.52877937,289.47122063,324.73561032,
切割参数:1,3,0,1,0.8,0,0,2,1,0.8,0,0,1,1,0.8,0,0; 转棱转角转面相同浅切
转面:节点8
有效停靠角度:0.0,45.0,90.0,135.0,180.0,225.0,270.0,315.0,
转角:节点6,
有效停靠角度:0.0,60.0,120.0,180.0,240.0,300.0,
转棱:节点10,
有效停靠角度:0.0,54.73561032,70.52877937,109.47122063,125.26438968,180.0,234.73561032,250.52877937,289.47122063,305.26438968,
切割参数:1,3,0,1,0.5,0,0,2,1,0.5,0,0,1,1,0.5,0,0; 转棱转角转面相同中切
转面:节点8
有效停靠角度:0.0,45.0,90.0,135.0,180.0,225.0,270.0,315.0,
转角:节点6,
有效停靠角度:0.0,60.0,120.0,180.0,240.0,300.0,
转棱:节点16,
有效停靠角度:
0.0,35.26438968,54.73561032,70.52877937,90.0,109.47122063,125.26438968,144.73561032,180.0,215.26438968,234.73561032,250.52877937,270.0,289.47122063,305.26438968,324.73561032,
切割参数:1,3,0,1,0.5,0,0,2,1,0.5,0,0,1,1,0.5,0,0; 转棱转角转面相同深切
转面:节点8
有效停靠角度:0.0,45.0,90.0,135.0,180.0,225.0,270.0,315.0,
转角:节点6,
有效停靠角度:0.0,60.0,120.0,180.0,240.0,300.0
转棱:节点16,
有效停靠角度:
0.0,35.26438968,54.73561032,70.52877937,90.0,109.47122063,125.26438968,144.73561032,180.0,215.26438968,234.73561032,250.52877937,270.0,289.47122063,305.26438968,324.73561032,
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