Abstract: A three-dimensional polyhedra-form logic puzzle comprised of a plurality of independent, non-interconnected puzzle elements of three-dimensional geometric, axially-symmetric, pyramidal-peaked form including one or more apex-opposed polygon faces and a plurality of radial faces. Each edge of an apex-opposed face that contacts a radial face presents visible design indicia. Radial faces contain transversely-polarized magnetic, mechanical or electro-mechanical attachment mechanisms. The puzzle is solved and the three-dimensional polyhedra completed when puzzle elements are placed with the visible design indicia of every puzzle element's apex-opposed face edges conforming to those of every adjacent puzzle element. Radial faces may contain protuberances and cavities corresponding to indicia of corresponding apex-opposed face edges such that only puzzle elements with conforming apex-opposed face indicia will interjoin. Computerized processes determine viable solutions for indicia combinations on puzzle elements.