The Towers Problem
The students in the Rutgers study repeatedly encountered
the so-called Tower Problem, one variant of which is presented
as a challenge in the homework for Workshop 1:
"You have two colors of Unifix® Cubes available
with which to build towers. Your homework task is to make
as many different looking towers as is possible, each exactly
four cubes high. A tower always points up, with the little
knob on top. Find a way to convince yourself and others
that you have found all possible towers four cubes high
and that you have no duplicates."
You can work on this problem using Unifix® Cubes, the
paper cut-out cubes provided in the support
materials, or here online. There are 2 ways to
access this software:
Site Participate directly on the Internet, using any
In order for the activity to work properly, the free Shockwave
Plug-In must be installed in your browser before
you enter the Shockwave page.
Stand-Alone Program Participate offline, using a Macintosh
Use this link to download the Blocks program
as a stand-alone application for Macintosh (1.6 MB). This
option does not require any additional plug-ins for your
browser, and the program can be used offline.