Archive for August 16, 2018

Being and Blogging

Posted in Biographical on August 16, 2018 by telescoper

I saw this cartoon in The Oldie (which I buy for the crossword) and it really struck home. I can think of quite a few occasions when I’ve met a complete stranger who, by being a reader this blog, seemed to know more about me than I do!

There have been a few times when I’ve posted personal things on here that I probably should have kept to myself. On the other hand, a lot of things have happened over the last ten years or do that I haven’t even mentioned on here. Believe me, you don’t want to know!

I know I’ve also written tactless items about things I would have been wiser to have left alone and have sometimes caused offence as a result. Everybody makes mistakes, of course, but if you make them on the internet they’re in the public domain forever. Part of the problem is that it’s do easy to forget that people actually read this stuff!

On the other hand, I do think at least some of the items I’ve posted have had a positive effect and that, in my mind at least, far outweighs the negatives.

Anyway, this rambling post is just a product of the process I go through from time to time, wondering how much longer I want to keep this blog going. I still don’t know the answer..

The Problem of the Moving Triangle

Posted in Cute Problems, mathematics with tags , , on August 16, 2018 by telescoper

I found this nice geometric puzzle a few days ago on Twitter. It’s not too hard, but I thought I’d put it in the `Cute Problems‘ folder.

In the above diagram, the small equilateral triangle moves about inside the larger one in such a way that it keeps the orientation shown. What can you say about the sum a+b+c?

Answers through the comments box please, and please show your working!