Kig is a program for exploring geographical constructions. It is part of KDE's education distribution.
I got immediately drawn to the program after noting its ability to interlock nodes: when click and drag upon, they will work with each other in an almost machine-like fashion. I will post video when I get to it.
Meanwhile, the day of exploration turned into this.
...then I got crazy
+ I can't find the original kig file at the moment but here's one example of geometric construction I created and kig, exportd to svg and worked on further a bit.