publication . Article . 2002

Self-assembling micrites based on the Platonic solids

Johndale C. Solem;
Open Access
  • Published: 25 Jul 2002
Abstract Micrites capable of assembling into arbitrary shapes in three dimensions, with the constraint of a single species, might be most effectively fabricated in the shape of Platonic solids (regular polyhedra), to take advantage of maximum symmetry and to ensure that each polygon face of one micrite will perfectly coincide with the face of another micrite, thereby maximizing adhesion and minimizing stray fields. Only two of the regular polyhedra can be assembled to fill all space: the cube and the dodecahedron. Therefore, only the cube and dodecahedron are capable of constructing arbitrary shapes including the highest possible strength realized by a voidless ...
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free text keywords: Control and Systems Engineering, Software, General Mathematics, Computer Science Applications, Cube, Perpendicular, Rotation, Regular polyhedron, Polygon, Dodecahedron, Platonic solid, symbols.namesake, symbols, Computer science, Geometry, Dihedral angle
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