Nothing Says “I Love You” Like a Non-Orientable Surface

Feeling like Valentine’s Day is a little too cutesy for an intellectual heavyweight such as yourself? Nonsense; the heart may have its reasons, but reason can certainly figure them out, given sufficient grant funding and some diligent graduate students. Jennifer Ouellette points to a talk by Mary Roach that is safe for TED but arguably not safe for work, and shares some brain scans to prove that love is really blind.

6a00d8341c9c1053ef0120a89d40b8970b-500wi

fourthheartcurveIf all that biology is a bit too squishy, Sarah Kavassalis does the math. Here you will find the right functions to use to draw hearts — my favorite is the fourth heart curve from Wolfram|Alpha, shown at right — and how to construct topologically nontrivial versions out of construction paper and scissors. Who says mathematicians aren’t practical? Nor are they above venturing into the realm of the literary.

Roses are red.
Violets are approximately blue.
A paracompact manifold with a Lorentzian metric,
can be a spacetime, if it has dimension greater than or equal to two.

Shakespeare, maybe not. But the course of true science never did run smooth.

6 Comments

6 thoughts on “Nothing Says “I Love You” Like a Non-Orientable Surface”

  1. Pingback: 15 February 2010 « blueollie

  2. Paracompact is just a technical math term from topology. The major construction in topology is to introduce a collection of “open sets” that cover the space you’re considering, with overlaps. Paracompactness excludes certain ugly-looking cases where points necessarily have an infinite number of open sets nearby. It’s a much less restrictive condition than ordinary compactness — a space can fail to be compact (i.e. it can go on forever), but still be paracompact.

Comments are closed.

Scroll to Top