Timur's Gear Halpern-Meier Tetrahedron

grigr

Recently, I've posted a video series where I showed the whole designing process of Gear Halpern-Meier Tetrahedron. Finally, now it's built physically.

Essentially, this puzzle is very similar to Gear Pyraminx and is derived from it by moving the cutting su**ces towards the faces so that they do not intersect in one point, but outline an independent central face element, which is equivalent to central face triangle in Halpern-Meier Tetrahedron (or Jing's Pyraminx, whatever you call it). Displacement of the cutting su**ces enlarges the edge gears so their teeth number increases from 6 to 8. The corners, on the contrary, get reduced from 9 to 6 teeth. Number of teeth on the gear basement stays the same - 15.

Like in Gear Pyraminx, it's possible to turn all gears at a time keeping the same tetrahedral shape. But as opposed to Gear Pyraminx, here it's not possible to turn 3 corners in half-a-turn state, because this movement is blocked by deep interconnection of the edge gears.

Gear HMT design is much more stable than Gear Pyraminx in sense of skipping gears, because all teeth on the gear basement physically protrude up to their geometrical tips, so the Gear HMT does not have "weak teeth" like the Gear Pyraminx has in the face centers.

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魔_物理_控

霸气！我一直觉得齿轮的结构很神奇……最炫齿轮风？

回梦游仙

这个视频好纠结啊。各种听不懂……

myggnz1208

真漂亮,好想要一个

csgg

回梦游仙 发表于 2012-7-19 23:15
这个视频好纠结啊。各种听不懂……

俄文，你爷爷奶奶可能听得懂…………

su【rfa】ces  为何会被和谐？

LAMBO

谷歌翻译
最近，我已经发布了一个视频系列，在那里我发现齿轮哈尔彭迈尔四面体的整个设计过程。最后，现在它的建成身体。

从本质上讲，这个难题是齿轮Pyraminx非常相似，从它派生的切割苏** CES走向的面孔，使他们不相交于一点，而是勾勒出一个独立的中央银行面对的元素，这是相当于中央的脸三角形在哈尔彭迈尔四面体（或静的Pyraminx，无论你怎么称呼它）。切割苏** CES位移放大边缘齿轮，所以他们的牙齿数目增加6至8。角落，相反，减少9日至6颗。齿轮地下室的牙齿数保持不变 - 15。

像齿轮Pyraminx，它可能把所有的齿轮，在保持相同的四面体形状。但作为反对齿轮Pyraminx，这里它不是可以转一转半状态的3角，因为这项运动是由边缘齿轮深互连封锁。

齿轮HMT的设计是远远超过在齿轮Pyraminx感跳绳齿轮的稳定，因为身体上的齿轮地下室所有牙齿突出了其几何技巧，所以在脸上，没有齿轮HMT的“弱牙齿”像齿轮Pyraminx中心。

tengda

看翻译还是不太清楚区别

csgg

tengda 发表于 2012-7-20 14:37
看翻译还是不太清楚区别

相当于以前那个是普通金字塔改编的齿轮金字塔，这个是金氏金字塔改编的齿轮金字塔。
普通金字塔是一阶的，金氏金字塔是三阶的。

堕落天使

好神奇，好像是打印的吧，另外，超级有立体感。