The Golden Ratio: Fibonacci Magic

topThis 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.

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Image of the week #156

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

IOTW

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.

IOTW

Occupy Math announces a book by Daniel Ashlock

 

bookpicOne 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!

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Tiling the Wall, a K through 4 Activity

exampletiling

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

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