Hypercube Edges in Orthogonal Projection

You've stumbled on a rotating tesseract!
Color and opacity encode two extra spatial dimensions.

drag left/rightxz rotation
drag up/downyz rotation
shift+drag left/rightxw rotation
shift+drag up/downyw rotation
alt+shift+drag left/rightxy rotation
alt+shift+drag up/downzw rotation

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Hypercube Vertices in Parallel Coordinates

This is a four dimensional visualization of the vertices.
Learn about point-line duality and watch this amazing lecture on the history of projective geometry.

Adapted from milosz's hypercube
D3 based parallel coordinates JavaScript library - more reading

I hope this tickled your brain.