Sunday, June 26, 2022

COLOUR SUPPLEMENT: The Golden Section

This was first posted at Nourishing Obscurity on November 24th, 2010 but was lost along with a lot of other posts when James had his WordPress 'crash' It followed on from one of his posts titled The Mathematical Precision of the Universe and was also a clarification of a BBC programme which is still available on their iPlayer.
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I am prompted to continue the theme after watching a programme on BBC4 last week about Leonardo da Vinci’s drawing of Vitruvian Man. http://www.bbc.co.uk/programmes/b00vl3h1

I found the programme to be dumbed down and, in parts, risible. Most unsatisfactory and it wasn’t clear what point they were trying to make.

So allow me to make it for them.

The BBC described this as a puzzle. It is not a puzzle and never has been. The relevant passage in Vitruvius is very clear.

Leonardo abstracts it on the drawing in mirror writing and it is here -https://www.geoman.com/Vitruvius.html

Although this passage is in the section on Architecture it is really about the proportions of the human body and then it continues to show how architectural design should follow the same rules.

Leonardo drew a man in the correct proportions (and his notebooks carry several anatomical drawings to illustrate the proportionality of and within the body) inside a square.

Then, in accordance with the description in Vitruvius, he placed a compass point on the navel and drew a circle around the figure. Following which he placed the two additional arms and two legs fitting within that circle.

This is why the square and the circle are offset.


The navel is indeed the centre of the circle but it is not the centre of the square. Look very carefully and you will see that the navel bisects the square at a point 0.618++ between the top and the bottom of the square. Thus, the human figure is divided at the navel by the Ø ratio (Phi) otherwise known as the Golden Section. And here we begin to see the importance of this Golden Proportion. It occurs naturally in the human figure.

This is shown in the next drawing, an analysis of Leonardo’s.


If we take the side of the square and thus the height of the man and divide it into 144 parts then it can be seen that the distance from the feet to the navel is 89 and the distance from the navel to the top of the head is 55 and the distance between the top of the square and the top of the circle is 34. These are all numbers arising in the sequence of Fibonacci numbers and, just as these numbers are related to the Phi ratio, so the body is defined by this same ratio. https://en.wikipedia.org/wiki/Fibonacci_number

Why use 144 as a base measurement? The answer is, again, in the book by Vitruvius. He states that the ideal figure is 6 foot tall; which divides into 72 inches or 144 half-inches. Leonardo, in his notebooks, made further study of the human frame and always with reference to Vitruvius because that book contained the necessary clues. He found that the body was perfectly proportioned in terms of the ratio expressed by the Golden Section.

For example; the finger joints are related to each other and to the hand and arm in exactly this Ø ratio. Leonardo concluded that this ratio is the one which expresses growth in the human form. This is confirmed by the place of the navel at the precise Ø point between the head and the foot. The navel, of course, is the point at which we all commence our lives. We all begin as a germinated seed in the womb, connected to our mothers by the umbilical cord. Growth begins at this central point, the navel.

All of nature grows in exactly the same way. Everything from a human embryo to the spiralling galaxies in the universe follows the invisible rules of the Ø ratio.

As James said, this points to the mathematical precision of the universe.

Marcus Vitruvius Pollo knew it, Leonardo da Vinci knew it and the poet John Dryden knew it-

'From harmony, from heavenly harmony
This universal frame began:
From harmony to harmony
Through all the compass of the notes it ran
The diapason closing full in Man.'

John Dryden (1631-1700)


……….to be continued…………….

Saturday, June 25, 2022

WEEKENDER: More on the failing NHS, by Wiggia

There is a certain inevitability about getting old: we need more help on the medical front than of yore, none of us like to admit it but there it is. The argument about whether certain treatments that extend life are really worth the cost in monetary terms or personal life quality is a separate argument.
Still, by its nature the state of our health service does take a very elevated position in our thoughts in everyday life for obvious reasons, so inadequacies in that health service have a serious impact on our lives.

There seem to be endless stories in the press about the NHS on an almost daily basis. None of them put the organisation in a flattering light, which is hardly surprising considering the state it is in,

Nonetheless one would like to think that they were trying to right the wrongs and at least try to serve the public they are there to supposedly look after in times of medical need and not add fuel a fire that just keeps burning.

An example was this week when my wife had to go to the reception at our ‘Medical Centre’ to correct a prescription that had on two occasions been issued with the wrong medication; no good phoning unless you have an afternoon to spare.

On the receptionist's desk was a notice telling those who approached that they had been receiving abuse and threats and anyone who persisted would be de-listed.

Now no one can condone threatening behaviour, yet one would think that the surgery, sorry, Medical Centre would readily admit that people's frustration at not being able to even speak to a doctor (especially if you work for a living) is becoming ever more intolerable and that the centre's policy of working two days a week with ever fewer staff while taking on more paying customers, just might have something to do with it. Tthe threat of de-listing, not that it would make much difference currently, is not a solution; it is a pound shop solution to a problem not of the patient's making, and at surgeries like ours there appears to be no visible effort being made to correct things or redeem the patient's faith in the service, such as it is.

They even shut down routine testing a short while ago, already months behind schedule as the ‘staff’ were busy outside the surgery giving Covid jabs for which they are paid extra. Not bad, working two days a week and then being able to junk even that and go elsewhere to earn more all at the public's expense both in monetary and medical terms.

And now along with much of the public sector they are talking of taking strike action. Much of this comes from a basis that all were heroes during the pandemic and we should just cough up. There is nothing wrong with people wanting a pay rise, but consider two things: the bulk of the NHS was on holiday during the pandemic, so it hardly warrants the hero status; and secondly, the drop in earnings since 2010 of 22 % affects everyone, they fail to realise it is not about ‘cuts’ but a general drop in wages and living standards for many, most without the comfort of public service blanketing. We cannot assume all wages will just go on rising because we want it; economics comes into it and the private sector workers have suffered a lot more than the public sector and they of course provide the funds for the public sector to exist on.

The NHS consumes an awful lot of wonga. They can argue it is not enough but we can say much is badly spent and the figures can be made to show almost anything that is needed either way. When comparing international health spending I see we measure up very badly: infrastructure - poor, beds available - worst, doctor-patient ratio - very poor and many clinical outcomes - poor. Not all of that is because of lack of funds.


There is no way we can claim to be grossly underfunded in health care. Many countries that spend less better outcomes,  better patient to doctor ratios and more hospital beds, as well as better outcomes in the treatment of cancers for instance. Yet many use the US model as the reason not to change; I can only assume they have a socialist agenda and defend their baby regardless of current failings.


Our GPs are the best paid in Europe apart from Germany yet have the worst ratio of doctors to patients and still get paid for not seeing anyone; there is something seriously wrong there for a start.


We have fewer hospital beds per thousand population by a mile, far less than almost any Western country. Fewer beds means fewer patients in care so fewer medical staff needed, yet somehow we are always needing more. I repeat, how can the biggest employer outside the Chinese army be short-staffed? Answers on a postcard please, though I think we know the answer to that.

The chart below shows the decline in available beds, during a period when the population has increased by at least ten million. If anyone can explain the logic of that vis-a-vis other countries I will be astounded.



The NHS trusts should not be personal fiefdoms; all should be under the same umbrella on strategy on spending and structure. Many areas of the NHS still manage to provide decent services; how come others have been allowed to throw the towel in and be unfit for purpose and remain so?

Those who always say we are better off rather than following the US model are not comparing like with like. Why they always bring the US health service into the discussion is strange as there are so many others that have better results than us with similar expenditure. Again, the insurance portion of the cost gives patients the right to choose, something drastically missing here. This is the Danish model: see PT2 for patients' rights and tell me it is not better than our system.


It seems that no matter how many people put forward proposals for improving our NHS nothing of consequence changes. The current waiting lists are so long many will give up and many will die; not a lot of applauding in that sector.

You could almost do a weekly piece on the NHS failings, it just goes on and on. I shall cease for a while. What we see of and get from that organisation stays the same, however much we protest; sometimes it feels as though only a nuclear strike could change it.

Friday, June 24, 2022

FRIDAY MUSIC: Claire Pommet, by JD

Claire Pommet known professionally as Pomme is a French singer, songwriter and musician.









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This is her YT channel with lots more excellent music 'pour votre plaisir':

Monday, June 20, 2022

'Now and Next': did you miss these?

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June 8 - 14:

Quiz Night
A fun evening at the pub

Our money is rotting
... and has been doing so for over 100 years

Ukraine: a doomed neocon cattle-raid
The robbery of a poor country with rich resources

Baron Munchausen 2
A translation of the earliest (tall) stories

'You will own nothing...'
... being happy, that's another story

Ukraine is finished - Lira
But what happens next?

Saturday, June 18, 2022

WEEKENDER: We Approach Midnight, by Wiggia

We suffer the recent transport problems where no one it seems can leave the country by air, the railways are to expensive and on strike anyway and the price of petrol is prohibiting much car travel, but there is an answer…


So staying at home takes on a whole new meaning, not that different from the imposed lockdown conditions.

Several government statements were issued this week in the hope one or another will bolster Bojo’s decline; they won't, and they are no more than statements. One about the ‘houses for everyone’ will soon dispel any illusion that this is anything other than an ill-thought-out idea or simply a piece of propaganda being issued on the premise ‘we are doing something.'

The original ’right to buy’ scheme under Margaret Thatcher was at the time seen as a great way to get people on the housing ladder. This was achieved by discounting the council properties the buyers lived in and impoverishing the councils who had little in return to replace those same lost council properties built with taxpayers' money. Replace them they didn’t, resulting today in waiting lists for social housing that only the NHS can compete with.

Only desperation would make anyone want to buy the smallest housing builds in Europe and they are getting smaller: average houses in the Twenties were roughly twice the size, plus a real garden.


The only people to gain, and why not, were those offered their council properties at the bargain discount prices who then sold on later at market rates and made a killing. Once again the taxpayer and the council lost out.

This time, being a scheme under Boris’s reign the facts are far from clear - 'mud' is too kind a word - and maybe that is the point: it is just a statement boosting (he hopes) his kerbside appeal in times of strife.

Before looking at it, one has to ask why are we building so many rabbit hutches in the first place. 'Not enough and too slow' is the cry that goes up, yet the indigenous demographic is static, so any demand is being caused by the fact we have 7 million extra people in the land since 2010; and who created that problem?

One's first reaction is to ask how do people on benefits qualify for a mortgage? If they have enough for a deposit they don’t qualify for benefits; or are we missing something?

Secondly, this applies not just to council properties but housing associations and, if the wording is correct, privately owned properties in the letting market. The latter can’t be true as the government is discounting these properties, and how is the private sector going to take a discounted hit on the selling price? This has to be nonsense.

However, critics have pointed out that Universal Credit is only available to families with less than £16,000 in investments and savings, meaning they would have very limited access to mortgages, or in the real world, none at all.

Most lenders ask a minimum of 10 per cent deposit. Levelling Up Secretary Michael Gove indicated the government was looking at creating a savings vehicle that would not count toward the benefits limit, but it is unclear how that would work or how banks would be made to accept the handouts in their calculations.

The housing association position is more serious. With so little social housing being built by councils, housing associations have been taking up some of the slack; to hit them with this scheme would be a disincentive to build any more new units - what would be the point?

In fact the more one looks into it the more it becomes fantasy…


Above all it would require those who have worked hard and saved for their own homes to be subsidising a scheme for those on benefits to reap the rewards of a cheap home they cash in on later.

“Downing Street said there will be a 'mortgage review' looking at how low-deposit mortgages could be extended.“

There are already many ways mortgages are propped up by assistance to those on benefits, all explained here in this handy editorial:


I never thought I would see the day when a government would promote sub-prime mortgages after what happened not that long ago; for that, dressed up in a different way, is what this is.

The banks have already said they are not going with this as it stands.

This parody is spot on…


So what are we to make of it? Is it a serious effort to get people on the housing ladder, or just hot air? Judging by other government statements this last week the latter seems more probable. At this rate, future governments will make mortgages redundant and all new homes will be given to those who cannot afford them and thereby save all the paperwork involved in current schemes. 

Bearing in mind warnings that our hallowed housing sector is due for a fall, all this will become tomorrows fish and chip wrapping, and we will move on to Bojo’s next wheeze.

Friday, June 17, 2022

FRIDAY MUSIC: Albert Ketèlbey, by JD

Albert Ketèlbey (1875 - 1959) was an English composer, conductor & pianist born in Birmingham. He became famous for composing popular light music, much of which was used as accompaniments to silent films, and as mood music at tea dances.

You can read a full biography here - http://www.albertketelbey.org.uk/albert.html



This third video is Ronnie Ronalde whistling over the melody. He was never off the radio in the fifties and was popular with my parents' generation; maybe not popular but certainly different!




Monday, June 13, 2022

New Substack articles !

See what you missed on 'Now and Next' - subscribe and share if you like!

June 1 - 7:

Boris Johnson's mock-Imperialism
He waves the flag but he's a chancer

Private Eye: from satire to propaganda
The magazine has lost its balance over Ukraine

Ukraine is a distraction from service to the people
The US needs a bogeyman to disguise domestic failure

Monarchy and national integration
Never mind the miserygutses, the Jubilee helps unite us

Baron Munchausen 1
The first of the original tales, in a new translation

Pounds and ounces: power to the people
Why the old measures actually work better

Zelenskyy's kill list
He didn't start it, but he's not stopping it