Abstract: The present invention relates to a construction toy with interlocking tile-shaped pieces. Each tile-shaped piece has at least two interlocking elements on each side. One element is a male mating portion and the other is a female mating portion, so that each side of any tile-shaped piece is hermaphroditic in relation to any side of another piece, and the pieces can be locked to each other to form a two-dimensional and three-dimensional construction. The tile-shaped pieces must be oriented in the same plane for the interlocking elements to lock. Each interlocking element has a sphere-shaped configuration on a cylindrical stem that is connected to the side of the tile-shaped piece. The male mating portion has a convex configuration as a function of the interlocking element's spherical shape, and the female mating portion is a concavity in the interlocking element that mates with the male portion to lock interlocking elements together.