Triple Cubes

This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem

 

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Triple Cubes

 

Here we have some arrangements of cubes. Each one is made of three cubes and is coloured differently. We will call these 'triples'.
 
What do you notice about them?
 
You could get 8 triple cubes like these, each triple a different colour. Don't separate the triple but use them as building blocks to see what you can make.
 
It would be good to keep the eight triple cubes facing the ways they are in the picture, and not turn them around. In this way, each triple will be different.
 
We can now use these as building blocks to make interesting arrangements and shapes. Here is one to start us off.
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Triple Cubes
Notice how I've joined them together with square faces touching. This might be the way that you decide to build.
 
Or, you may include some 'edge' joining like in this one:
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Triple Cubes
 
Now it's your turn! What can you make from these eight triple cubes?