please empty your brain below
Only if you've already worked this out, which I'm guessing you may have done, possibly ages ago: what would the circumcircle for Greater London look like, please - what radius, what centre? A very swift search does not reveal the answer.

dg writes: triangles have circumcircles, irregular shapes don't

Chris | 05.03.25 - 7:07 a.m. | #

Any chance … you could do a Hexagon? ( the Bees would be happy ) 🐝

dg writes: 61%

Chris | 05.03.25 - 7:13 a.m. | #

If two of the corners of the rectangle are the same as the twisted square, how come they are different widths? (19 miles, 18½ miles)

dg writes: I didn't say they were.

And would I be right in thinking the twisted sqaure can be shifted to the NW, so the other two corners (Borehamwood/Hampton Court) are common with the rectangle?

timbo | 05.03.25 - 8:10 a.m. | #

Oddly interesting.

You've done a circle, what about a solid roundel?

Still Anon | 05.03.25 - 8:12 a.m. | #

If we define Chris’s circumcircle as the smallest circle that completely surrounds the boundary of London and touches the edge at two or more points (a mathematician could probably tighten that up somewhat) then I suspect its diameter might be (or close to) the longest straight line - is that around 33 or so miles?

dg writes: 37

Andrew | 05.03.25 - 8:13 a.m. | #

Fascinating ... and an excellent choice of colours

DavidC | 05.03.25 - 8:15 a.m. | #

May I say how pleasingly reassuring it is that the square is 45% given that that's your theme for your Squared this year.

RG | 05.03.25 - 8:21 a.m. | #

In the pendantic corner: What you describe as "where the sides run north/south and east/west" is not actually a square (or even a rectangle), because the meridians (lines of longitude) are converging going North ;-)

Barend Köbben | 05.03.25 - 8:41 a.m. | #

Along similar lines, I've sometimes wondered how much of the area inside the M25 motorway is not part of Greater London. It turns out to be roughly 33%. Or to put it another way, only two-thirds of the area inside the M25 is administratively part of Greater London.

Alan S | 05.03.25 - 8:48 a.m. | #

To delve further into the pedantic, when you refer to the sides of a shape running north-south, you don specify what sort of north. Yes, true north meridians are not parallel, but we have a national grid, and grid north lines are parallel.

Malcolm of Kent | 05.03.25 - 10:38 a.m. | #

Never Eat Shredded Wheat (N-E-S-W).

I wonder what % a shredded wheat proportions rectangle would cover (aligned or at an angle). Likely less than the rectangle shown, but how much less

(Frustratingly the size/proportions not easily available online and I don't have any to measure, as I avoid Nestle products.)

MilesT | 05.03.25 - 11:01 a.m. | #

I like the graphics! :)

Cornish Cockney | 05.03.25 - 11:03 a.m. | #

Fascinating and quirky whichever way you look at it. "It's longest side..." delete apostrophe please

keenreader | 05.03.25 - 12:13 p.m. | #

I expect a DG visit to the corners of each shape.

Wild Edric | 05.03.25 - 1:28 p.m. | #

The top-left corner of the rectangle is Old Fold Manor golf course, just north of Barnet High Street, rather than near Borehamwood.

dg writes: tweaked, thanks.

MichaelH | 05.03.25 - 3:10 p.m. | #

Just bizarre and quirky. Making up things that no one else would have thought of. Not something I’ll be bringing up in the pub or in a quiz. But perhaps that’s why we like it.

Brian | 05.03.25 - 5:45 p.m. | #

Wild Edric - Doing the circle is going to be a tricky one...

G-Man | 05.03.25 - 6:15 p.m. | #

Glad to be included in the north west tip of the triangle.

Anyoldname | 05.03.25 - 7:53 p.m. | #

You see - I knew we'd find a use for Emerson Park eventually...

Steve

Steve Conway | 05.03.25 - 8:52 p.m. | #

Colours noted. Typically subtle, lovely. 🙂

Steve Rees | 07.03.25 - 9:44 p.m. | #











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