A list of major recurring themes in the Pokémon gaming franchise

lean with it, rock with it

A helpful assortment of Armor and Sword charts for writers and historians alike.

*Happy 38th Birthday, Dean! 🎉*

cha·os the·o·ry

*noun*the branch of mathematics that deals with complex systems whose behavior is highly sensitive to slight changes in conditions, so that small alterations can give rise to strikingly great consequences.

there’s an infestation in my mind’s imagination (inspired by the transition from fairly local to heavydirtysoul on emotional roadshow) |-/

Here’s a masterlist of Chinese radicals that I found on Pinterest. Very helpful for those who hope to read and write Chinese characters.

Circle packing theorem

Recently I heard about this surprising theorem. I already knew about Fáry’s theorem: if a simple graph can be drawn on the plane without crossing edges (i.e. if the graph is planar), then it can always be drawn in such a way that all edges are non-crossing straight lines. Hence, restricting to straight-line edges doesn’t give a strictly smaller class of planar graphs. I found this to be quite surprising already.

However, much more is true: you can always draw a simple planar graph in the plane in such a way that you can place non-overlapping circles on the vertices, such that two circles touch if and only if the corresponding vertices are joined by an edge. In particular, the drawing clearly satisfies the result of Fáry’s theorem. This result is called the circle packing theorem.

three lights are lit but the fourth one’s out

**Orbital Symphony**

**So true.**

sound wave of tyler joseph saying “stay alive’ +old bars

*You ask me to open that door and walk through it, you will not like what walks back out.*

“Stay Low” they say, but we go where we want to.