Pythagoras was one of the greatest minds and philosophers of his time and his unquestionable influence can be felt even today in mathematics. He was the founder of Pythagoreanism, a religious and political movement that appeared mainly in the big cities of Magna Grecia. He dedicated his life to the spiritual and moral awakening and reformation of people from all social classes and sexes. Thus, Pythagoras was one of the most open-minded thinkers of his era.
Trying to sludge through some work tonight. My cold is showing (some, very small) signs of improving so I figured I should at least do a little work. It’s going okay, although my brain still feels a little muddled :(
Finally motivated myself to start on math to prep for the upcoming school year and i lost my study stamina :( [used to be able to sit for hours studying] my brain is pretty much fried to do anything else now.
Not the prettiest notes/work/handwriting you’ll see around here but just wanted to post something and keep this blog active while i can during the holidays.
I’m planning a few posts in the near future, but I’m wondering which topic interests people more.
The topics I’m considering:
Mirrors of different shapes: I’ll explore how rays and waves are reflected by different shapes, and some interesting properties of these shapes. I have more ideas beyond the typical parabolic/elliptical/spherical mirrors, so I’m sure there’ll be more than the usual here.
Bees & voting systems: I’ll explore alternative voting systems being proposed, but from a less techy & more intuitive and visual perspective. I’ll also explain how bees have been using a system for millions of years and trillions of elections, and what we may be able to learn from them.
Snowflakes: I’ll explore current research on how snowflakes are formed, what causes their symmetry and, hopefully, have an interactive, physics-based snowflake generator as opposed to the typical geometric ones you find everywhere.
Exponential growth: I’ll explore how exponential growth appears in Nature and how our perception of these phenomena are inherently limited and potentially dangerous. I’ll not go be going into the typical Malthusian population angle on this.
For all of these I’m hoping to include some interactive simulation or visualization.
You should always order the bigger
pizza. While an 8“ pizza is roughly
50 square inches, a 16” pizza is 200
square inches, which is 4 times
bigger but most pizza places charge
by radius and don’t consider the
overall area of the pizza. An NPR study
found that one 20” pizza is actually
bigger than two 14” pizzas, but is
also, on average, $9.00 cheaper. Source