Wave, Boy’s Surface, and Machine

Year: 2022 Authors: Annie Wei; Yongheng Zhang

Core claim

Adding period-3 corrugation to a base sphere map yields an immersed Boy’s surface and motivates a light-driven drawing machine.

Topics

Boy’s surface, Thurston corrugation, sphere eversions, immersed surfaces

Domains

differential topology, geometry, surface immersions, real projective plane, kinetic sculpture, machine drawing, visualization, light-based installation

Methods

analytical formula, corrugation technique, period-3 waves, orthonormal frame field

Media

electronic lights, space drawing machine, surface diagrams, parametric curves

Source status

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