Geometry and Transformations
This topic is about how shapes move, transform and keep structure.
Explore the main idea
Placeholder text: this section will explain how the main tool works, what the user can change, and what they should notice as the visual responds.
Placeholder text: this section will connect the tool back to the wider topic, showing how the same mathematical idea appears in related projects and real situations.
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About this topic
Geometry and transformations turn abstract operations into movement, shape, symmetry and structure.
Use the tools here to see structure before formalising it.
Explore this through matrix transformations and invariant directions, complex numbers as rotation and scaling, fourier ideas, waves and decomposing patterns.
Further exploration
Look up: matrix transformations of the plane
Explore next: complex multiplication as rotation
Try searching for: invariant lines and eigenvectors