This week’s challenge takes a square (that could look a bit like a face (or layer) of a Rubik’s cube and challenges you to notice which moves produce which change in orientation.
Challenge On Boarding – Analysing the Square
Squares are symmetrical, which means we can flip or rotate one and it will look the same as it did before.
Using a square with one corner and one edge piece coloured in, we can tell when the square’s orientation has been changed.
You can find the total number of orientations by using seeing how many positions one piece can fit in.
Then for each of those positions, how many possibilities are there for the other piece.
There are 7 different ways to transform this square such that:
- The outline shape doesn’t change in any way
- You do not take the square apart at all.
Each transformation changes a particular orientation into a different one.
- Find all 8 orientations
- Map the transformations between different orientations
Fill in the orientations and then the transformations between each one.
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