(Four-Cylinder) Steinmetz Solid, 24-faceted solid, variant of Liu Hui's Cube-Cap Method

This work is a geometric solid formed by the intersection of four cylinders, a multifaceted solid

It can be formed by the intersection of four cylinders based on a regular tetrahedron. Similar to the structure of four carbon-carbon single bonds in a carbon atom, each cylinder has an angle of arccos(-1/3)=109.47 degrees

Its characteristic is that it appears circular from eight different perspectives. A triangle and a Y are drawn in the center. The whole structure is composed of 24 identical quadrilateral surfaces.

From some angles, it resembles a regular octahedron, while from others, it looks like a hexagram. It is quite magical.

Future works will expand to six cylinders and ten cylinders.
Print-in-place, combined concave-convex printing, and half-body printing options are available.

In geometry, a Steinmetz solid is a three-dimensional solid formed by the intersection of two or more cylinders of equal radius.

Liu Hui's Cube-Cap Method is a method used to calculate the volume of a sphere, first discovered and utilized by the ancient Chinese mathematician Liu Hui. It's similar to the infinitesimal method. Because its model resembles a cube-shaped cover that fits together, it is called the Cube-Cap Method.