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In the Figure 1, I expect the smallest circle to draw the figure.
Imagine a civilization that discovers complex numbers before naturals, with naturals showing up to count the turns.
If hexagons can claim to be bestagons complex numbers have a legit claim at best numbers.
A huge amount of math unlocked the minute mathematicians started taking complex numbers seriously. Ideally they would be an earlier discovery, I agree!
Reminded me of this crazy good video/game (a game with no assets because graphics, sounds and music are just built out of sin functions) https://youtu.be/Qr3VsZYQy4s?is=IBX2bA1jitw38q0u
looks like we both created educational materials about the same topics - except yours clearly is higher effort in terms of prose and human effort.
https://learn.mimmsy.com/
Was toying with the idea that with everyone vibe coding niche educational sites (this is a claim about myself, not this site) it would be nice if that effort could go into building an auditable library of widgets/ educational resources users could trust.
Disclaimer: my concept is a stalled WIP/ completely vibe coded, but for me it was fun POC of a widget registry that can be served into chats via mcp
I wish I had this while studying at uni. How I hated boring lifeless recitation of professors lectures with zero practical explainers, animations, nothing.
Understanding how complex generating functions help with combinatoric counting makes one's head spin.
(Tenuous pun intended. It keep track of how spinning arrowheads align with or cancel each other)