Abstract: A puzzle unit for an amusement device comprises a first puzzle unit assembly, a second puzzle unit assembly, a third removable unit face, and a fourth removable unit face. The first puzzle unit assembly includes a first support member and a second support member projecting from a first inner surface of the first unit assembly, and a first triangular unit face on an outer surface of the first unit assembly. A space between the first support member and the second support member define a first linear slot. The second puzzle unit assembly is geometrically identical to the first unit assembly, including a third support member and a fourth support member projecting from a second inner surface of the second unit assembly, and a second triangular unit face on an outer surface of the second unit assembly.

Abstract: An amusement device comprises a plurality of puzzle unit pairs. Each puzzle unit pair comprises a first tetrahedral puzzle unit marked with a first color progression, a second tetrahedral puzzle unit marked with a second color progression, and a connector. The second puzzle unit is a geometric mirror image of the first puzzle unit and both puzzle units have faces marked according to a predetermined color code. The connector has a first linkage attached to a first surface on an interior volume of the first puzzle unit, and a second linkage attached to a second surface on an interior volume of the second puzzle unit. The connector is repositionable between a first corner and a second corner of the respective puzzle units without detaching or disassembling the connector.

Abstract: An amusement device comprises a plurality of virtual puzzle blocks organized into a virtual puzzle set. Each virtual puzzle block has a virtual shape with a continuous virtual volume. The virtual shape is substantially geometrically equivalent to a reference shape with a reference volume. The reference shape results from a reference combination of a first integer quantity of first colored tetrahedral puzzle units and a second integer quantity of second colored tetrahedral puzzle units. A plurality of fasteners are fixed on or within a plurality of outer surfaces of each virtual puzzle block. The plurality of outer surfaces of the virtual puzzle blocks do not carry distinguishing colors or markings.

Abstract: A puzzle unit for an amusement device comprises a first puzzle unit assembly, a second puzzle unit assembly, a third removable unit face, and a fourth removable unit face. The first puzzle unit assembly includes a first support member and a second support member projecting from a first inner surface of the first unit assembly, and a first triangular unit face on an outer surface of the first unit assembly. A space between the first support member and the second support member define a first linear slot. The second puzzle unit assembly is geometrically identical to the first unit assembly, including a third support member and a fourth support member projecting from a second inner surface of the second unit assembly, and a second triangular unit face on an outer surface of the second unit assembly.