Cube and hexagram shaped prism derived glass and pipe frame shape 模型预览

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Cube and hexagram shaped prism derived glass and pipe frame shape · 模型 59740

作者:UniqueCAD

Pipe frame and glass panels shape derived from a cube and prisms extruded from its diagonal hexagrams. I've been researching and experimenting with geometric relationships of the cube. I've learned that the equilateral triangle is actually embedded inside of the cube. By connecting the 3 tips of a cube which directly neighbour a 4th vertex (share an edge with it) with lines between each two of them, you obtain an equilateral triangle. If you also connect the 3 vertices surrounding the diagonally opposite tip of the cube, you get another equilateral triangle whose plane is parallel, in space, to the plane of the first equilateral triangle but offset some distance away from it. And the second triangle also points in the opposite direction to the one which the first triangle points into. If you extrude the pairs of triangles in both directions enough that both ends of the resulting triangular prisms extend beyond the confines of the volume of the original cube, then Boolean merge the two triangular prisms together, you get a prism with the cross-sectional shape of a hexagram. If you then create a circular array of 4 such prisms, rotated around the vertical centre axis of the cube, and intersect them with each other as well as with the cube itself, you end up with this basic shape. Then it's just a matter of turning the edges into cylindrical pipes and the surfaces into glass panels by turning the shape into a shell, outwardly.

格式
Rhino、KeyCreator、Rendering、STEP / IGES
分类
Educational、Just for fun、Miscellaneous
标签
hollow、transparent、corner、pointy、sharp、intersection、hexagram、triangular、triangle、equilateral、prism、cube、panel、glass、frame、pipe
数据更新
2026-09-22T11:18:21Z
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