Thingiverse
Half Octahedron, Make Your Own by lgbu
by Thingiverse
Last crawled date: 3 years, 1 month ago
Half Octahedron
Things are interesting and often confusing in 3D space. How do you dissect a platonic (regular) octahedron? Of course, we could slice it into two square pyramids. But that is a bit boring. Here is a more interesting way to dissect it into two congruent pieces. It is easy to design in Fusion 360 using its dihedral angle [180-arccos(1/3)]. The easiest way to design a platonic octahedron is to extrude a square in two directions at a taper angle of (-acos(1/3)/2). We could also start with an equilateral triangle and then extrude and mirror around. It is a fun process.
There are two versions provided: solids and shelled (2mm). The eighth pieces are also included.
Things are interesting and often confusing in 3D space. How do you dissect a platonic (regular) octahedron? Of course, we could slice it into two square pyramids. But that is a bit boring. Here is a more interesting way to dissect it into two congruent pieces. It is easy to design in Fusion 360 using its dihedral angle [180-arccos(1/3)]. The easiest way to design a platonic octahedron is to extrude a square in two directions at a taper angle of (-acos(1/3)/2). We could also start with an equilateral triangle and then extrude and mirror around. It is a fun process.
There are two versions provided: solids and shelled (2mm). The eighth pieces are also included.
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