This paper presents a new origami-inspired design to create polyhedra. By using the unfolded net of tetrahedron as modular units, one can assemble a variety of deltahedra. This design was used to engage students in geometry classes by having them build polyhedral models from specially designed cardboards. Through this exercise, students learned about the alternative features of polyhedra in a hands-on manner and appreciated the dynamic interaction among math, origami, and art.