Rotation via Double Reflection
While studying Geometric Algebra I have built some interactive visualization to demonstrate how geometric transformations (rotation, scaling, translation) can be constructed by just composing reflections. Accepting reflection as the most elementary geometric operation was an eye opening moment for me. I think some of you might enjoy the interactive visuals.
Rotation via Double Reflection launched on August 21, 2026 with 61 votes, #593 of 23,274 launches that month and more than 95% of that year's launches.
In plain words
Rotation via Double Reflection is an interactive visualization tool that demonstrates how geometric transformations—rotation, scaling, and translation—can be constructed through composed reflections. Designed for students and enthusiasts of geometric algebra, it presents reflection as the fundamental geometric operation underlying these transformations. The tool provides hands-on visual exploration of these mathematical concepts.
written from the facts on this page · September 2026
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