3 ms·

What property of a dodecahedron makes it useful for 3D scanning?

• nkurz 9y ago
  Wow, this seems like an beautiful technique. Apparently, it's not that the dodecahedron is uniquely suitable, rather it offers the best compromise between competing factors. In this process, it mostly serves as a cage to hold the object for immersion, although it has some other useful properties as well: "There is no other 3d platonic structure that has a higher fill-factor (volume that can be inscribed within a sphere of rotation) relative to the entrance hole (i.e. face area), while minimizing periphery length." "Intuitively, one might suspect that both the dodecahedron and the icosahedron are reasonable choices of structure for the given constraints, with their subjective scores of 4.6 and 4.0 respectively. The dodecahedron offers increased fill factor, aperture size, and minimizes the periphery length, and is simple to manufacture." http://www.romansystemsengineering.com/hypothesis.html http://www.romansystemsengineering.com/hypothesis.html