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.
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. A space between the third support member and the fourth support member define a second linear slot, with the second unit assembly rotated relative to the first unit assembly such that the second linear slot aligns with the first linear slot. A portion of the first support member overlaps with a portion of the fourth support member, a portion of the second support member overlaps with a portion of the third support member, and a common edge defines an angle of about 60 between the first unit face and the second unit face. The third removable unit face engages with the first support member or the fourth support member such that the third unit face occupies a plane substantially parallel to planes occupied by overlapping first and fourth support members. A fourth removable unit face engages with the second support member or the third support member such that the fourth unit face occupies a plane substantially parallel to planes occupied by overlapping second and third support members.
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.