An Indiscriminate Amalgamation

poorandunknown:

sixpenceee:

don’t date someone that promises you forever. date someone who acknowledges that life happens, that people change, that things may get in the way. date someone who despite knowing all of that, tries their hardest for your relationship. 

This is like the foundation for a healthy relationship I think.


tensorfield:

I don’t mean to give off the impression that I only think about Seifert surfaces, but they’re fun to draw…
This one, a torus minus two disks, is bounded by the Whitehead link L. The faces of the unit ball of H2(S3\L, boundary;R) with respect to the Thurston norm are all fibered, so in particular this surface is the fiber of a bundle S3\L ➝ S1; take my word for it that its homology class lies in the cone on the interior of the faces.
The theory also shows that this is a norm-minimizing surface for L, so the genus of L is 1.
I’m slowly writing some notes on the Thurston norm with the goal of having something reasonable by September.

tensorfield:

I don’t mean to give off the impression that I only think about Seifert surfaces, but they’re fun to draw…

This one, a torus minus two disks, is bounded by the Whitehead link L. The faces of the unit ball of H2(S3\L, boundary;R) with respect to the Thurston norm are all fibered, so in particular this surface is the fiber of a bundle S3\L ➝ S1; take my word for it that its homology class lies in the cone on the interior of the faces.

The theory also shows that this is a norm-minimizing surface for L, so the genus of L is 1.

I’m slowly writing some notes on the Thurston norm with the goal of having something reasonable by September.


raptinawe:

Doodles by Maryam Mirzakhani (2014 Fields medalist for drawing deep connections between topology, geometry and dynamical systems).
“She has these huge pieces of paper on the floor and spends hours and hours drawing what look to me like the same picture over and over,” - Jan Vondrak
"Mirzakhani said that her 3-year-old daughter, Anahita, often exclaims, “Oh, Mommy is painting again!” when she sees the mathematician drawing. “Maybe she thinks I’m a painter,” Mirzakhani said."
(source Quanta Magazine - Maryam Mirzakhani Is First Woman Fields Medalist | Simons Foundation)
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raptinawe:

Doodles by Maryam Mirzakhani (2014 Fields medalist for drawing deep connections between topology, geometry and dynamical systems).

“She has these huge pieces of paper on the floor and spends hours and hours drawing what look to me like the same picture over and over,” - Jan Vondrak

"Mirzakhani said that her 3-year-old daughter, Anahita, often exclaims, “Oh, Mommy is painting again!” when she sees the mathematician drawing. “Maybe she thinks I’m a painter,” Mirzakhani said."

(source Quanta Magazine - Maryam Mirzakhani Is First Woman Fields Medalist | Simons Foundation)