I had an interesting day yesterday. Out at the crack of dawn for a wander. I left the van with the stars twinkling but before I'd gone a mile the cloud came in and the mist came down, perhaps I should have said the clouds came down.
I moved a few miles up the road to the Church House Inn, unsurprisingly the weather didn’t improve, it changed , it got cooler. Not to worry, I got a book for my birthday, Professor Stuart’s Hoard of Mathematical Treasures. Now I had a choice to make, go to the pub and have a wet birthday or read Ian Stewart. I took the dogs for a wet walk whilst I pondered and debated the alternatives.
We returned wet and I settled for a day of fascinating little mathematical posers. I had to skim the book as some of the problems are far from small. As regular readers will know on wet days I tend towards colouring in as a means of passing time. You’ll be pleased to note that I’ve grown up by a year and have graduated to cutting out. Here is what I made. On first acquaintance it doesn't look very special, it looks better than it would have in white card! but it is only a bit of blue paper.
It provided me with several hours fun. It is a cylindrical band with a 180° twist and was invented by a clever chap called Augustus Möbius. This is where you are probably best clicking out. The Möbius Band has a surprising property. It only has one side. It has neither inside or outside unlike a cylindrical band. It does have three sides if one considers edges as sides which strictly speaking they are……I’m not being strictly here.
A mathematician confided
That a Möbius strip is onesided.
You’ll get quite a laugh
When you cut it in half,
For it stays in one piece when divided.
This is a simple introduction to Topography. It kept me amused on a damp birthday and also kept me away from the falling down water.
I will now get back to the book. Have a great weekend.