Amour et maths!



Amour et maths!

My first image to make a book cover is on the most recent French edition of Love and Math by Edward Frenkel :D

Can you figure out the three angles of the triangles in the tiling?

https://editions.flammarion.com/Catalogue/champs-sciences/amour-et-maths

Comments

  1. Matt McIrvinMarch 1, 2018 at 3:43 AM

    Well, I presume these are congruent triangles and even in hyperbolic space it's 360 degrees around a point, so simply by counting triangles around a vertex, they'd be 30-45-90. (Which sums to less than 180 degrees, as one would expect.)

    ReplyDelete
  2. Roice NelsonMarch 1, 2018 at 11:53 AM

    Matt McIrvin, exactly!

    ReplyDelete

Post a Comment

Popular posts from this blog

Hyperbolic Hopf Fibrations

Image
Hyperbolic Hopf Fibrations The Hopf Fibration of S^3 is amazing and beautiful.  Rather than describe it here, I'll point you to a lovely online reference with pictures and videos by Niles Johnson. nilesjohnson.net/hopf.html To understand it better (and fibrations in general), I recommend this talk by Niles too. www.youtube.com/watch?v=QXDQsmL-8Us It turns out there is an analogue of the Hopf fibration for H^3.  In fact, there is not just one "fiberwise homogenous" fibration in the hyperbolic case.  There is a 2-parameter family of them, plus one additional fibration that does not fit the family.  As with S^3, fibers in the H^3 cases are geodesics.  They are ultraparallel in fibrations from the family, and parallel in the exceptional fibration.  I found the following dissertation by Haggai Nuchi a good intro and resource to help think about all this. www.math.upenn.edu/grad/dissertations/NuchiThesis.pdf I'm posting three early pictures of H^3 fibrations below, labeled
Read more