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The Perforated Cube

Stage: 4 Challenge Level: Challenge Level:1
The Freudenthal Institute for Science and Mathematics Education has some very useful Java interactivities.

Follow this link if you would like to explore these environments (but perhaps read the next paragraph first) :

The best interactivity for this problem is called 'Building Houses ', but 'Building free ' and also 'Building Houses with Side Views ' are also excellent resources for problems of this kind.

Warning : Java can take a few seconds to load.

In 'Building free ' you need to type 5 into the size box if you want to match the context of this Perforated Cube problem.

Below is a screen shot of one 'E S H' arrangement. (to get a screen shot press the Print Screen key on the keyboard then paste the image almost anywhere you want it)

This video provides one arrangement for the letters E, S and H. Click the screen to begin.

An ESH cube