Nature & landscape photography, fine wine and food, mathematics
Dunbar, Scotland
Joined August 2009
- Tweets1.3K
- Following198
- Followers168
- Likes1.2K
Two older blokes got on my bus in Leith, one clumsily wheeling a suitcase with an extending handle. His mate frowned at the case: "I don’t like those things". Then his eyes moved to the case's owner: "They make you look effeminate" and after a pause "like an air hostess".
It would be good if journalists had some sense of the size of things. (Today's Metro picked up in London.)
In the image each triangle has vertices that divide the sides of its parent 2:1. Triangles two generations apart are directly similar. I call the odd generations the "point-median dual" of the big triangle. 1/n
In this example the odd generations are indirectly similar to the even ones. This happens when the squared side lengths are in arithmetic progression. 3/n
This piece of art at the Dean St Lizzie line exit is called "reflection" but it ought to be called "rotation". Unless, I guess, it is the artist's reflection on rotation.
Report on new Edinburgh Street food market in the Evening News (edinburghnews.scotsman.com/l…) :
"It is clear that this is filling a much needed gap in the Edinburgh scene ... "
I've always loved that phrase!
Does anyone have an idea what this identity on cross ratios means or a proof other than lengthy calculation:
[ a , [a,b;c,d] ; [a,c;d,b] , [a,d;b,c] ] = [a,b;c,d]
I'd be grateful for any insight! #crossratio #geometry
Some #curiousgeometry. Let O,P,Q,R,S be points in the plane. Then 6 triangles can be formed which contain O as a vertex. Their six oriented areas (denoted by "[ ]") satisfy
[OPQ][ORS] + [OPR][OSQ] + [OPS][OQR] = 0
I have no idea why.
This #FungiFriday I'd be really happy if someone could kindly ID this monster (about 20cm across) found on an old, dead-looking birch. I feel it looks a bit like Ganoderma of some sort???
Interesting article on rewilding in the Grauniad (theguardian.com/environment/…).
Concludes splendidly as follows:
"This article as amended on 13 November 2022. A photograph of a buzzard that was incorrectly labelled as an Eurasian skylark was removed."
