> Geometric objects take on different properties depending on the space in which you [embed] them.

And then: fun with #tropicalGeometry!

https://www.quantamagazine.org/tinkertoy-models-produce-new-geometric-insights-20180905/

https://arxiv.org/abs/1701.06579
https://arxiv.org/abs/1808.01285

#mathNews h/t +Taufik Yusof

Tinkertoy Models Produce New Geometric Insights | Quanta Magazine

An upstart field that simplifies complex shapes is letting mathematicians understand how those shapes depend on the space in which you visualize them.

A short excursion on the invariant from the article:

Holly Krieger: The Dollar Game (Numberphile)
https://www.youtube.com/watch?v=U33dsEcKgeQ

At first it had reminded me of how Norman Wildberger approaches the ADE graphs with his "mutation game". It's related, but different: a mutation at a graph vertex takes the negative at that vertex and adds the values of its neighbours to it:

N. Wildberger: The Ubiquity of ADE graphs, and the Mutations and Numbers game
https://www.youtube.com/watch?v=zPtnEZeuzH0

#combinatorics #mathLecture

The Dollar Game - Numberphile

YouTube