The Triangles part of this is being written up in Volume 1 (2025) of https://institute-theory-stem.org/annals-of-the-institute-of-stem/ .

You can find the list of topics in the Quadrilaterals part of this here: https://institute-theory-stem.org/topology/ . Which shall also be written up in Volume 2 (2026) of https://institute-theory-stem.org/annals-of-the-institute-of-stem/ . A few preprints in this regard are collected here: https://institute-theory-stem.org/two-infinite-families-of-generalizations-of-stewarts-theorem/ .

The first Hopf seminar is attached below. https://institute-theory-stem.org/topology/ contains a flowchart of what some of its applications are. Which we shall revisit as part of our 2026 Summer School https://institute-theory-stem.org/from-differential-geometry-to-topology-summer-school-2026/ .