Abstract: Disclosed is a geometric puzzle comprising a plurality of three-dimensional components of at least one type, each component of the same type being derived by notionally dividing a fundamental shape into a plurality of equal parts, said fundamental shape being selected from the group consisting of a regular tetrahedron having edges of equal length and a regular pyramid with a square base and also having edges of equal length, said components being capable of assembly into multiple composite shapes. Each component may be equal and identical to one another or each pair of components may comprise mirror images of one another. Surfaces of said components may be provided attractive magnetic elements to hold said components in a composite shape.