Regular and semi-regular polyhedrons constructed from polyhedral components

Claim 2

A constructIon set, for building structures assembled from geometric parts having plane faces, comprising a plurality of closed geometric parts including at least one group of equal pyramids each having at least three equal side faces and a base face; some of said geometric parts, including at least some of said pyramids with their base faces in abutment, being capable of assembly in abutting facial relationship into a geometric structure in the form of a polyhedron; said polyhedron including a plurality of outer faces at least one of which is congruent with one of the faces of said pyramids, and adhering means between opposing ones of said faces effective to interconnect said geometric parts selectively in face-abutting relation, said adhering means including individual adhering elements in the shape of circular discs, said discs covering coextensive circular areas on the respective ones of said faces.

Claim 3

A construction set, as claimed in claim 1, in which the interconnection provided by said adhering elements is disengageable.

Claim 4

A construction set, as claimed in claim 2, in which said adhering elements are sheet-like areal elements between opposing faces and coated on both surfaces with an adhesive.

Claim 5

A construction set, as claimed in claim 1, in which the diameter of each circular disk does not exceed that of a circle inscribed in the smallest surface of one of said geometric parts.

Claim 6

A construction set, as claimed in claim 1, in which said pyramids are tetrahedrons whose side faces are equilateral triangles.

Claim 7

A construction set, as claimed in claim 1, in which said pyramids comprise pyramids with four side faces and whose opposite side faces lie in planes intersecting each other at a right angle.

Claim 8

A construction set, as claimed in claim 1, in which said pyramids comprise pyramids with five side faces and whose side faces form extensions of those side faces of a dodecahedron which adjoin a face of the dodecahedron coplanar with the base of the respective pyramid.

Claim 9

A construction set, as claimed in claim 1, in which the parts are assembled to form an at least semi-regular polyhedron bounded by plane surfaces.

Claim 10

A construction set as in claim 1, wherein said adhering means includes bur-lock means on opposing ones of said faces.

Claim 11

A construction set, for building structures assembled from geometric parts having plane faces, comprising a plurality of closed geometric parts including at least one group of equal pyramids each having at least three equal side faces and a base face; some of said geometric parts, including at least some of said pyramids with their base faces in abutment, being capable of assembly in abutting facial relationship into a geometric structure in the form of an at least semi-regular polyhedron having at least one plane of symmetry; said polyhedron including a plurality of outer faces at least one of which is congruent with one of the faces of said pyramids, said polyhedron being composed of at least one partial body different in overall shape from said pyramids, and adhering means between opposing ones of said faces effective to interconnect said geometric parts selectively in face-abutting relation, said adhering means including individual adhering elements in the shape of flat sheet-like circular discs said discs covering co-extensive circular areas on the respective ones of said faces.

Claim 12

A construction set, for building structures assembled from geometric parts having plane faces, comprising a plurality of closed geometric parts including at least one group of equal pyramids each having at least three equal side faces and a base face; some of said geometric parts, including at least some of said pyramids with their base faces in abutment, being capable of assembly in abutting facial relationship into a geometric structure in the form of an at least semi-regular polyhedron having at least one plane of symmetry; said polyhedron including a plurality of outer faces at least one of which is congruent with one of the faces of said pyramids, said polyhedron being composed of at least one partial body different in overall shape from said pyramids, and adhering means between opposing ones of said faces effective to interconnect said geometric parts selectively in face-abutting relation, said adhering means including individual adhering elements in the shape of flat sheet-like circular discs said discs covering co-extensive circular areas on the respective ones of said faces.