Feb 22, 2021

Providing Madison children with a friendly environment that fosters learning beautiful mathematical theories beyond the regular school curriculum and developing critical thinking and problem solving skills.

# Fractals and Imaginary numbers

## by Colin Crowley

Abstract: We'll explore some famous mathematical pictures such as the Mandelbrot set and Julius sets, which are examples of what are called fractals. In a quest to understand where these astonishing pictures come from, we will dip our toes into the world of imaginary numbers. While they are vastly complicated and beautiful, these come from simple equations.

# Announcements

We look forward to seeing you all again next Monday March 1st for a talk by Colin Crowley about fractals and imaginary numbers.

Shout out to Da Man Leiseca for their solution to last week's riddle!

– Professor Andrews

# Weekly Riddle

There is a mountain with 45 bat caves in a row. Every cave has at least 2 bats and there are 490 bats in all. Any 7 caves in a row contains exactly 77 bats. Suppose the first cave has 7 times as many bats as are in the last cave. What is the greatest possible number of bats in the 30th cave?