Introduction to affine spaces https://wordpress.com/page/conceptsofshape.space/1606
Introduction to convex subsets and functions https://wordpress.com/page/conceptsofshape.space/1601
Write-ups of the other five topics given here will appear around June 2024. For now, here are some of the more interesting figures
This last figure is interesting for a less obvious reason. I.e. the associated discussion gave rise to a new Naming Principle for graphs: the stick figure model name. Whereby Butterfly is a truer name than Bowtie or Hourglass. Because no matter how the cartoon butterfly flaps, it is still a cartoon butterfly viewed from some angle. But the same cannot be said of the Bowtie or Hourglass names.
Challenge: can you find stick model figure names for all the homeomorph irreducible graphs of order up to 5 inclusive?
