Happy First of December!
Throughout the month, Hannah Fry & I will be tweeting out Christmathsy bits and pieces, one a day, advent calendar style… Assuming we don’t run out of ideas, which is certainly possible (What do you mean we should have thought this through beforehand?).
First up, a competition!
CLICK HERE TO SEE THE WHOLE CALENDAR SO FAR
Here is a nice problem tweeted by the Republic of Mathematics:
Free of the constraints of Twitter’s 140 character limit, let’s explain this problem in a little more detail. Continue reading
Obviously, the tiles must not overlap one another and must not overlap the boundary of the blue square.
[UPDATE: See the bottom of this post for the answer to this question, provided by Stephen Morris.]
The 82000 sequence that I posted the other day seems to have caught the imagination in a few quarters. Continue reading
The other day, I did a mini-investigation into an interesting maths tweet from Cliff Pickover. Here’s another:
This fact is beautiful, but is it surprising?
Click here to find out.
This rather elegant fact has been going round on Twitter:
However, there are other examples of this phenomenon…
Here’s a question that caught my eye, in a tweet from @colinthemathmo:
I had a think about this and found that it is actually a deceptively beautiful little puzzle.
Click here for my piece on this problem.
While working on part two of the Pointless article, I wandered over to Twitter and stumbled upon the following problem:
This caught my imagination and I did a bit of an investigation. The results were unexpectedly interesting, involving a connection to a mysterious problem at the cutting edge of number theory and a trip off into the numerical stratosphere in search of some fairly large solutions.
You can read my account of the problem here. The maths used here is probably about first year undergraduate level, and the style is certainly more technical than the Pointless article, so come prepared.