Let Σ ⊆ ℝ³ be an embedded closed compact surface and let X be a nonvanishing smooth vector field on ℝ³. If Σ is not a torus, then there exists a point p on Σ with normal direction parallel to X(p). 🧮
Let Σ ⊆ ℝ³ be an embedded closed compact surface and let X be a nonvanishing smooth vector field on ℝ³. If Σ is not a torus, then there exists a point p on Σ with normal direction parallel to X(p). 🧮
#MathSky #MathArt #Geometry #Origami
More examples: erikdemaine.org/curved/)
#MathSky #MathArt #Geometry #Origami
More examples: erikdemaine.org/curved/)
Me: Back in 2014.
JC: Oh, that's when I graduated from high school!
[A light breeze brushes my skin and my desiccated corpse collapses into a pile of ashes.]
Me: Back in 2014.
JC: Oh, that's when I graduated from high school!
[A light breeze brushes my skin and my desiccated corpse collapses into a pile of ashes.]