魔方吧·中文魔方俱乐部

标题: 自定义魔方模型的建立 [打印本页]

作者: hubo5563 时间: 2020-3-16 19:21:54 标题: 自定义魔方模型的建立

本帖最后由 hubo5563 于 2020-3-27 11:08 编辑

           一个魔方主要有外形、切割方式、转动方式和配色来决定的。
         最近几个月我一直在做自定义魔方的仿真软件，最后提交一个可以让用户自己定义形状，自己定义切割深度和转动方式，自己定义配色的java软件。
               自定义形状可以用逐步切割做到，开始设定一个立方体，逐步用不同的平面或球面进行切割，最后达到自己要求。
         每个切割面由表示平面法向量的一个三维点，和到原点距离，以及曲率半径表示。
               例如（1.2，3.1，-1.5），1.4，5.13；
         就是以坐标原点到点P（1.2，3.1，-1.5），再单位化后为面的法向量，1.4表示切割面到中心，也是坐标原点的距离，5.13是切割面的球面半径。
         这个数为0，代表切割面是平面，这个数为负数，代表该面为凹球面，为正代表凸球面。你可以自己用任意多的切割面来切割立体，最后就出来一个多面体。
               用这样可以实现任何凸多面体的构造，但对一般人来说比较麻烦。
               本软件提供几个有效的标准切割，即可以用来构造对称外形，又能提供对称切割魔方的
      切割。另外，本软件还提供一些标准立体，主要是五个正多面体，13个半正多面体，13个卡塔兰多面体，13个截角卡塔兰多面体，22面体，小斜五魔方，大斜五魔方等常用外形。
               本软件提供各种基本立体的对偶算法，点对偶算法，棱对偶算法，球面化算法，锥面化算法几种多面体算法。可以自己切割出基本立体，利用这些算法实现立体的变换，来变成更复杂的几何体。
         下面先分享一些外形，这些都可以任意定义切割。
               软件现在还是半成品，主要有输入语言设计没有完成，这些外形功能上都调试通过了。但还有怎么切割，怎么输入，还没有编好程序。还有大量程序要编写。估计完成整个程序还需要至少两个月时间。

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作者: hubo5563 时间: 2020-3-16 19:34:21

本帖最后由 hubo5563 于 2020-3-16 20:16 编辑

没有整理次序

图片都是调试程序的截图。

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作者: bob424200 时间: 2020-3-16 20:20:24

我记得先前已经有一个挺强大的软件了, 不过自定义似乎复杂了些, 很期待胡波老师的成品!

作者: honglei 时间: 2020-3-16 20:30:51

胡波先生辛苦了.

作者: PTSD龌龊闵 时间: 2020-3-16 21:23:12

胡波老师666呀

支持！

作者: 15810033383 时间: 2020-3-17 09:04:43

胡波老师666666666666666666

作者: redcarrot 时间: 2020-3-17 09:54:30

本帖最后由 redcarrot 于 2020-3-17 10:32 编辑

胡波老师辛苦了！
想问一下那个22面体是如何生成的呢？应该是12个五边形10个六边形？

————————

翻了一下胡波老师以前的模拟器，看到了这个几何体。五边形面3个一组共有4组，对应立方体组成正四面体的四个顶点；六边形面分为2组，一组四个对应立方体的另外四个顶点，一组六个对应正四面体的棱（或者说立方体的面）。不过还是不知道是不是能从比较常见的几何体生成。感觉如果可以的话只能从三角化四面体或者截角四面体生成，想不清楚……

作者: hubo5563 时间: 2020-3-17 13:38:45

redcarrot 发表于 2020-3-17 09:54
胡波老师辛苦了！
想问一下那个22面体是如何生成的呢？应该是12个五边形10个六边形？

用正方体切割生成的，正方体4个角切一刀，假定正方体半边长1，角上切割深度也为1，另四个角度每个角切3刀，切割面法向量与正方形顶点向量夹角为24.53580661度，切割深度1.0670601667。

作者: 2frcat 时间: 2020-3-18 08:31:29

胡波老师辛苦了！
期待各种各样不同几何态的魔方。。

作者: 小桥流水人家 时间: 2020-3-19 18:53:32

看起来很强大的软件

作者: 折翼蚂蝗 时间: 2020-3-20 08:53:46

胡波老师的最新力作！强烈期待！我更想用它模拟各种几何形状，顺便转两下魔方。如果直接用这个玩复原，恐怕我会累晕倒

作者: hubo5563 时间: 2020-3-30 11:07:26

再添加几个

六角化二十面体做的星状体02.JPG

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作者: 米菲 时间: 2020-4-22 22:36:51

是不是数学很厉害的人魔方也玩得很厉害呢！

作者: PTSD龌龊闵 时间: 2020-4-23 09:49:49

胡波老师辛苦了
java虚拟魔方必上一个新台阶！

作者: zxm大民666 时间: 2020-4-23 10:55:42

胡波老师好厉害！！

作者: xwfh2000 时间: 2020-4-24 09:59:35

这个应该接近终极版的通用自定魔方软件了。佩服

作者: 米菲 时间: 2020-4-25 00:42:15

敬佩之余想着，如果手机能玩的话就爽。

作者: VistaBSOD 时间: 2024-7-9 19:46:44

膜拜大佬！！！
但是怎么实体化设计出来呢？

欢迎光临魔方吧·中文魔方俱乐部 (http://www.mf8-china.com/)