(Tri-cylinder) Steinmetz Solid, a variation of the Liu Hui's Cube, a 12-faceted solid

(Tri-cylinder) Steinmetz Solid, 12-faceted solid,
This work is a geometric solid formed by the intersection of three mutually perpendicular cylinders, which can be formed by intersecting another cylinder perpendicularly on the basis of the Liu Hui's Cube (bi-cylinder type).

Its characteristic is that all three orthographic projections are circular. Draw an X in the middle. The whole is a geometric solid composed of 12 identical rhombic surfaces.

From some angles it looks like a cube, while from other angles it looks like two regular tetrahedrons overlapping. It is quite magical.

Other works will be expanded to four-cylinder, six-cylinder, ten-cylinder intersections.
Using Print-in-Place, concave-convex combination printing, half-body printing, you can freely choose.
 

In geometry, a Steinmetz solid is a solid obtained by the intersection of two or more cylinders of equal radius.

The Liu Hui's Cube is a method for calculating the volume of a sphere first discovered and used by Liu Hui, an ancient Chinese mathematician, similar to the method of infinitesimals. Because its model resembles a combined square box, it is called the Liu Hui's Cube.