Embodiments may include multiple building elements that may include connector building elements and basic building elements for the construction of three-dimensional puzzles. Connector building elements may include a connector portion that may insert into a receiving portion of a basic building element. Connector building elements and basic building elements may rotate with respect to each other to a fixed point where respective faces of the connector building element and the basic building element are aligned; the alignment may be to pre-determined angles. Connector building elements and/or basic building elements may include blocking and/or locking structures that may resist and/or arrest the rotation of the elements with respect to each other and to aid in maintaining the alignment of the elements.