High School What is Extraversion in Triangle Geometry?

[Cheesycheese213]

I came across something called "extraversion", which in that case, was swapping 2 verticies to move the triangle created by it's trisectors outside of the original triangle. I found it in a blog post:
http://blog.zacharyabel.com/2012/03/many-morley-triangles/
but I can't seem to find any other reference to it other than a different blog post by the same author. Is there any article or place I can learn more about it, and if not, is there a different word that describes it? Thanks!

 

[scottdave]

Did you find this one? http://faculty.evansville.edu/ck6/encyclopedia/ETCPart5.html

 

[robphy]

https://www.maa.org/let-s-bring-back-that-gee-om-met-tree

Extraversion: Extraversion is John Conway’s word for the study of what happens to theorems in triangle geometry as you smoothly move two vertices A and C of a triangle ABC through each other. (See a nice animation athttp://bit.ly/1gYNA82.) This movement causes the incircle (or inscribed circle) of the original ABC to change places with the b-excircle (see http://bit.ly/1HY74zi for a definition of excircle). And for any algebraic result about the incircle or incenter, a corresponding result holds for the b-excircle or excenter as long as you change the sign of b. (The incenter and excenter are the centers of the incircle and excircle, respectively.)

“There’s a pun, of course,” Conway said of extraversion in his MathFest talk (which followed Guy’s), “since I invented the term.” Extraversion involves “extraverting” a triangle or turning it inside out, Conway explained, but it also produces “extra versions” of various entities.

This might be the first published use:
The Steiner-Lehmus angle-bisector theorem
John Conway, Alex Ryba
https://doi.org/10.1017/S0025557200001236
Published online: 23 January 2015, pp. 193-203