I’d forgotten the link to the golden ratio (though I’ve used that as a theme before, for obvious reasons).

]]>Incidentally, a Fibonacci sequence can be built up starting with any two numbers you like and soon each consecutive term will be the previous one multiplied by the golden ratio. For example: -7.82 and 5.9 will give you -7.82, 5.9, -1.92, 3.98, 2.06, 6.04, 8.1, etc; by the time you get to the 14th term the ratio of each term to the previous one is close to the golden ratio, approximately 1.618

Thanks, Phi and RR

]]>As others have said, the makings of a good themed puzzle is when you don’t have to spot the theme to finish the puzzle.

This was briliant Phi – we should have been more patient or started it earlier to give us time to look at the numbers more closely.

Thanks RR for the blog. You had a good one today!

]]>Fine puzzle, perhaps today’s best one.

]]>I’m going to pour a glass of red and have a lie down now. Good weekend to all.

]]>I had tried to pick out the numbers in a different colour when writing the blog, but to no avail, so thanks to Kathryn’s Dad for doing half my job for me

]]>And in this puzzle we have 0 (in OOLITIC, say), compONEnt, abalONEs, knoTWOrk, THREE ply, FIVEfold, EIGHTy, THIRTEEN and TWENTY-ONE. And as Thomas says, in order. There may be other subtleties, but that’s how I saw it. The Fibonacci numbers are fascinating, reflected in the natural world in all sorts of stuff, from the spirals of snail shells to growth in animal populations.

One of my favourites of Phi recently; thanks too to RR for the blog.

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