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In this paper we show that a smoothly and locally isometrically embedded Moebius band has aspect ratio at least $\sqrt 3-(1/26)$. (The actual bound, an algebraic number that arises in… Click to show full abstract
In this paper we show that a smoothly and locally isometrically embedded Moebius band has aspect ratio at least $\sqrt 3-(1/26)$. (The actual bound, an algebraic number that arises in an optimization problem, is a tiny bit better.) Our bound improves significantly on the previous known lower bound of $\pi/2$.
Keywords:
moebius band;
bound optimal;
improved bound;
paper
Journal Title: Geometriae Dedicata
Year Published: 2021
Link to full text (if available)
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Journal Title: Geometriae Dedicata
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!