Mapping the world

Even in the task of making a 3D globe into a 2D map one can be guided by aesthetics.  Source: http://www.vox.com/world/2016/12/2/13817712/map-projection-mercator-globe

Posted in Uncategorized | Leave a comment

Celtic Knot – A nice little pattern that uses rotational symmetry.

Posted in Uncategorized | Leave a comment

Fibonacci in nature

From: https://edex.adobe.com/resource/2d35bc/

Image | Posted on by | Leave a comment

Go’kväll takes on beauty in mathematics!

This week I had the honor of being on Go’kväll, a national Swedish tv program, to talk about  beauty in mathematics. How cool is it that the program has started to take on topics in mathematics and science:  Very cool.  We discussed what kind of example to give to give viewers a sense of what beauty in mathematics is like. In the end, even though we had simpler examples, we went with the one that really turned me on to mathematics.  It is an argument, formulated by Goerg Cantor in the late 1800s, which shows that there are different orders (sizes) of infinity.  Some sets of numbers, like counting numbers (1, 2, 3, 4… ) and rational numbers (including 1/2, 3/18, 9/49) can be shown to have the same size.  There is a clever way or ordering the rational numbers when you count them.  But if you try to do the same with real numbers (which includes irrational numbers like π and e, and all the rational numbers) you simply can’t do it.  The way to show this is to make a list of all the real numbers, as if you could do it. Just write them all down, doesn’t matter in what order, but make sure you have got them all.  Once you finish the list, which is supposed to have all the numbers, you can still construct another number that is not on the list!  You do it by writing down a number that differs in the first decimal place of the first number, in the second decimal place of the second number, etc.

Here is a link to the show:  GoKvall

For more info on Fibonacci numbers: http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibnat.html

 

 

 

Posted in Uncategorized | Leave a comment

Månadens problem | NCM:s och Nämnarens webbplats

Problem of the month!  If you have children who are bored in your class, maybe they would be interested in this?

Source: Månadens problem | NCM:s och Nämnarens webbplats

Posted in Uncategorized | Leave a comment

Proofs without words

Some pretty proofs accessible to school aged kids: Proofs without words

Posted in Uncategorized | Leave a comment

Pythagoras and the Knotted Rope – Navigating By Joy

Now we’ve switched to a full-time living maths approach, we’re actually making time to play with some of the wonderful resources we’ve had on our shelves for years. What’s Y…

Source: Pythagoras and the Knotted Rope – Navigating By Joy

Posted in Uncategorized | Leave a comment