3D multiplication table

The 3D multiplication table is a three-dimensional embodiment of the one hundred products in the familiar 10-by-10 multiplication chart. The result is an intriguing object-to-think-with that supports mathematical inquiry by making salient logical and quantitative properties that are embedded in the regular multiplication table yet are difficult to see therein. The object thus affords new and engaging cognitive entries into mathematical concepts. Try this: What is the volume of this object?†

The Evolution of the 3D Multiplication Table:

2001. Dor Abrahamson’s design

3rd grader building it from plastic cubes and play-doh. See also Maria Droujkova’s try-out

2005. Paulo Blikstein’s build 
using a 3D printer at Uri Wilensky’s lab.

Dor Abrahamson holding the 3D Multiplication Table

2009. Mike Bryant’s build — a 6 ft tall structure made of wood.