The 3D multiplication table is a threedimensional embodiment of the one hundred products in the familiar 10by10 multiplication chart. The result is an intriguing objecttothinkwith 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 playdoh. See also Maria Droujkova's tryout 


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. 
Credits: Designed and researched by Dor Abrahamson. Thanks to Paulo Blikstein then at the Center for Connected Learning and ComputerBased Modeling (CCL) (Uri Wilensky, Director) for engineering, creating the computer images, and 3Dprint production of the 2005 build. See also Maria Droujkova's natural math page.