Second Drafts

Sperner’s Lemma - Combinatorial Proof

combinatorics
triangles
coloring
visualization
interactive
observablejs
questions
This picture is a combinatorial proof of Sperner’s Lemma.
May 16, 2025
Apurva Nakade

Sperner’s Lemma - Statement

combinatorics
triangles
coloring
questions
visualization
interactive
observablejs
Sperner’s lemma is one of the first “non-trivial” theorems I remember hearing about at a high school summer camp.
It goes like this: consider a triangulation of a triangle.…
May 14, 2025
Apurva Nakade

Non-Profits

My apartment complex in DC is having some landlord issues. Our landlord is a shady, dishonest guy whose main skill is not getting sued. He will do the absolute least he can…
May 13, 2025
Apurva Nakade

Random points in a triangle

randomness
triangles
barycentric coordinates
Randomness is a surprisingly hard thing to simulate. Any program, by definition, has a predictable output. The best you can hope for is to predictably generate points that lo…
May 12, 2025
Apurva Nakade

Hopkins is a joke

It’s a crisp sunny day in the middle of way. We are deep into the final exam season. Everyone is stressed, sleep-deprived, over-caffeinated, over-worked. We have an exam for…
May 12, 2025
Apurva Nakade

Barycentric Coordinates

affine geometry
observablejs
triangles
interactive
visualization
Barycentric coordinates are a coordinate system for describing points inside a triangle.
May 11, 2025
Apurva Nakade

Begin Again

I opened this page with a clear idea of what I wanted to write. I’ve now spent the last half hour updating quarto, setting up a new git repository, fixing a git merge issue…
May 3, 2025
Apurva Nakade
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