Triangular and Tetrahedral Numers

cults3d

Models of triangular numbers {1, 3, 6, 10, 15, ..., n(n+1)/2} also double as tetrahedral number models {1, 4, 10, 20, 35, 56, ..., n (n+1)(n+2)/6}. Each sphere is deliberately fused with its neighbors for seamless integration and hassle-free use by students. These activities can be adapted to suit various grade levels from K-12, depending on the specific instructional objectives. The underlying formulas can be rigorously established through mathematical induction, offering a fascinating glimpse into the realm of visual mathematics. For optimal printing results, utilize a raft to ensure strong adhesion between the bed and the model.