This post contains an activity you can do with a calculator, a bit of a magic trick. The post is also about a very special number called the *golden ratio*. The golden ratio is not as famous as **pi** or **e**, but it keeps showing up again and again in multiple contexts. The spiral above is made by choosing quarter-circles that cover two earlier quarter circles, along their sides. After going through the activity, Occupy Math will reveal how this spiral involved the golden ratio.

# Uncategorized

# Image of the week #156

A Newton-Julia flower with large borders, to achieve a cartoon like appearanace.

# Image of the week #154

This week we look at a mixed type Julia set with a cubic iterator followed by a quadratic iterator. Note the interesting central structure.

# Image of the Week #150

This week we take a Newton’s method fractal, with fifteen roots, and show how it forms in an animation. Sorry for the small size — animation uses multiple pictures so it makes big images.

# Image of the Week #144

A newton monster fractal with internal organs!

# Image of the week #130.

This week, a Newton’s method fractal that shows what can happen when a couple of roots are close together. Spider temple?

# Occupy Math announces a book by Daniel Ashlock

One of Occupy Math’s research areas is figuring out how to get computers to produce game content more-or-less automatically. This post announces a book that summarizes many of Occupy Math’s findings. You can buy a copy from my publisher Morgan and Claypool, but if you are part of a university or other institution that subscribes to the Morgan and Claypool synthesis series then an e-book with unlimited use for students and faculty will show up in your library presently. Profits go to Occupy Math’s consulting company, which funds students and research!

# Image of the Week #97

This is a deep zoom into the cubic mandelbrot using leaf convergence. It has an odd, finished character.

# Tiling the Wall, a K through 4 Activity

This week we have an activity that Occupy Math has used for math activity nights at schools. There is often a shortage of activities for younger children at a school math night and today’s post hopes to help with that. An earlier post on kid’s math books includes the idea of a reading table that gets parents and young children involved. The activity *Construction by Instruction* appears in the post on cooperative games. This week is the activity *Tiling the Wall*

# Image of the Week #86

This is a Julia set with three complex parameters located with an evolutionary algorithm. It’s part of an on-going automatic fractal location program.