Abstract: A geometric model construction system comprised of a variety of shape elements. These shape elements are connected to each other along edges by connector strip parts in a hinged, sliding union. This union allows a full continuous range of angular positions between adjacent shape elements. Polyhedra and other geometric forms may be easily built up by joining connector strips onto multiple shape elements. These shape elements may be flat or curved polygons of a sheet material (10) or may be skeletal wire frame elements (12). Hinged sliding joints between shape elements and connector strips are accomplished with hinge-leaf (30) and hinge-pivot features (42). Female features of c-shaped cross-section are designed to admit and grip male features of circular cross-section along shape element edges (14). Finished models may be easily disassembled and parts reused. They are also suitable for long term display, and will not degrade over time.