Abstract: Toy block cube filling puzzle using transparent cube containers and using 8 tetrahedron blocks as a first group and 32 one eighth of octahedron blocks as a second group. When the blocks from the first group are assembled with one vertex of each block meeting at the center of the cube the second group can be used to completely fill the cube without voids. When 8 blocks from the second group each share a vertex at the said center the remaining 32 blocks can completely fill the cube again. When using a cube filled with one block from the first group and four from the second and each having different colors and paired up with a mirrored adjacent copy of this assembly, 2 blocks are given color change to give 7 colors. Additional pairs can be arranged to form infinite sized shapes in perfect order in three dimension and color.

Abstract: Spaced-apart blocks are interconnected by planar sheets. Thus, different configurations for the toy building blocks can be obtained. A simple geometric shape can be provided which is capable of interlocking in different directions and is capable of a choice of framing pieces. Retrofit interconnecting elements can be provided which facilitate the addition of planar members to the construction.

Abstract: Toy building pieces are disclosed which may be advantageously used in conjunction with a variety of different shaped framing pieces or connectors for building of structures such as polyhedral figures, geodesic domes or many other structures. One or more faces of the building pieces have interlocking devices and have an aperture in the surface thereof to receive a thin rectangular shape such as a craft stick, or a circular shaped end of a framing piece of various cross-section or connectors which are I-shaped in cross-section. Other faces of the piece may incorporate piece interconnection devices, which may include for example: especially configured angular connection pieces which can be used in conjunction with other pieces to construct polyhedral figures, other pieces designed for hinged connection; a dovetail tongue on one part adapted to engage a dovetail groove on another part; or a tongue projecting from a face to engage one of the apertures. Other interconnecting devices are also contemplated.