Dividing Cakes Easily
It's easy to cut a cake into 4, 6 or 8, but what if you have 7 or 9 people? It's not so easy. Luckily the French have a novel solution for us and they call it a Plat Diviseur. Learn about the math involved in creating one of these decorative but really useful plates. If you can't find any pages in English be sure to use the translate tool.
Investigate the design of different plat diviseurs. There are some simple and some decorative pieces.
Look up what 'plat diviseur' means in English & any other language you speak.
Design and make your own plat diviseur using paper/card and a laminator. Make it big enough so that you can include lots of 'divisions'.
Take a compass (there is one on an iphone) to a large area and mark out different regular polygons. If you can, take a photo from above and analyse the photo mathematically to determine your accuracy.
Explain how you could use this method to build a structure with a hexagonal cross-section.
Explain how this could be used on a bigger scale using bearings.
Ask if you can make a real plat diviseur out of clay with your art teacher!
How do you divide a circle up into the desired number?
How would you achieve this for a square plate?
Which numbers appear to 'overlap'? Why might this be?
If there are 7 people and I eat one slice, how much cake am I eating? Think about this in terms of area and percentage. How does this change for different numbers of people?
Create a piece of media that explains the purpose of a plat diviseur and how those concepts can be used on a larger scale (print, video, website, digital production, paper display etc)
Present a Q&A session for your classmates
The Petronas Towers have an interesting cross-section.