Abstract: The invention relates to an improved geometric construction toy for building geometrical sculptures and consists of a multiplicity of magnetizable bodies and a multiplicity of construction members. The construction members have a plurality of connecting arms that have a first cantilevered end and a second portion that is integral with a hub portion and a permanent magnet in the first end for magnetically coupling with a magnetizable body. The hub portion has a geometrical center and the connecting arms have an axis of symmetry that passes through the geometrical center where the axes of symmetry are in the same plane and where the peripheral surface of a connecting arm intermediate the first end and second portion is symmetrical to the axis of symmetry in planes orthogonal to the axis.