Of Doric columns and climate change

By Christopher Monckton of Brenchley

I am designing a cottage orné in the high Classical manner, to be built on our little patch of the Scottish Highlands. The Doric Order, the earliest of the three orders of Grecian architecture that have been so influential throughout the Western world, has always impressed me by its elegant solidity. If there is an architectural embodiment of the virtue of honesty, it is the Doric.

Here is the principal front of our little cottage.

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A Doric building is a formalization in stone of what must once have been a much-loved timber building. The tree-trunks became stone columns; the vertical emphasis of the bark was represented by the 20 vertical channels or flutes; the stone triglyphs in the frieze above the colonnade represent purlin-ends; the acroteria are stylizations of the palmette. My own take on the acroterion is art-deco.

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Does the thickness of the tree-trunk plus all branches therefrom remain constant? Is that why tree-trunks become narrower as they ascend? Leonardo da Vinci considered this question in one of his notebooks, in the age when science was more about enquiring than proclaiming, learning than preaching.

He carefully drew a formalized tree as a heuristic, ensuring that the combined thickness at every bifurcation remained constant. The result looks uncommonly like a real tree.

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Be that as it may, the Greeks, like the Persians, Hindus, Arabs and Egyptians before them and the Romans after them, were enthusiastic mathematicians. Dr. Hugh Plommer, the eminent scholar who taught me Classical architecture at Cambridge, used to theorize that the gently convex curvature of the stylobate in a Doric temple, designed to overcome the optical illusion that a colonnaded temple sags in the middle, was a shallow parabola.

He also considered that the echinus, the cushion on which the abacus and, above it, the entablature rests, was a hyperbola. But where, I asked him, was the third conic section, the ellipse?

Dr. Plommer left that question unanswered. He liked to set a hare running and watch his students gallop after it under their own steam. I galloped to the faculty library and rootled about among the Classical journals.

I found what I had expected to find. There were two schools of thought about the extent to which the architects of noble temples such as the Parthenon, the archetype of the Doric, had consciously deployed the conic sections and other elements of mathematics in their designs.

Most scholars thought that there was so much variation from one temple to another, and that the correspondence between the actual curves as carved by the stonemasons and the pure theoretical forms was so approximate, that it was mere coincidence.

However, a substantial and not uninfluential minority, which I shall dub the Plommerian school in honor of the great man, maintained that the architects of the Doric Order had deliberately adopted the conic sections in their designs. For one thing, it was necessary for them to brief the stonemasons on the curvature they desired. Using established curve-generating functions would have made that easier.

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In the learned literature the debate on this charming but arcane question had raged – or, rather, delightfully maundered on – for years, without ever becoming so vulgar as to reach a conclusion in one direction or another.

By now you will be gagging to know where the missing ellipse was in Doric buildings. My answer, well supported in the literature, is that the architects of ancient Greece achieved the startling combination of diminution (tapering towards the top) and entasis (bulging on the way up) that is the most instantly recognizable and distinctive feature of the Doric column by constructing it as a truncated semi-ellipse.

The minor axis of the ellipse, so the Plommerian theory goes, corresponded to the diameter of the column at its foot. The semi-major axis, of unit length, extended from the center of the foot all the way to the geison (cornice). The resultant semi-ellipse was truncated approximately 0.618, or (1 + √5) / 2, units above the stylobate (the stone floor).

The distinctive profile of the Doric column, then, was an ellipse whose semi-major axis stood in the golden ratio to the height of the column.

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I once explained the Plommerian theory to the parish priest of Paestum, which has some fine Doric temples. Startled, he gave me a postcard and asked me to use my architectural drawing program to overlay semi-ellipses on a couple of the columns. He was fascinated to see how close the fit was.

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What, you may wonder, has any of this got to do with climate change? The answer is this. The polite debate in the Classical journals about the origin of the Doric column’s form is in one crucial respect similar to the viciously angry debate about global warming.

Both debates are about matters that are in essence quantitative, not qualitative. Yet it is the propensity of academics, followed by politicians and environmental lobbyists and even short term loans UK companies, to argue qualitatively about climate change (and, for that matter, about Doric columns) when they should really get out into the field and do some measurements, and then get back to the pub and do the math.

By now it ought to be obvious to all who are not already blinded by politics, prejudice or passion that there is no definitive method of determining the sensitivity of the climate to carbon dioxide. The extravagant guesses of the global warming profiteers are just that – guesses – and no more. Guesswork is not a sound basis for policy-making.

So we are going to have to wait and see. This is where the measurements come in.

History will crown Anthony Watts as one of the great heroes who defended the freedom to do science rationally against the political forces that would have flung us into a new Dark Age by their Marxian insistence that science should conform to the party line (excitingly rebranded “consensus”) rather than vice versa.

The Climate Reference Nursing Homes Network  – has only been in existence for a short time. Already, though, its results are strongly suggesting that much of the imagined “global warming” of the past 60 years may have been not just imagined but imaginary.

Before we spend any more trillions on making putative “global warming” go away, it would surely be wise to find out whether and to what extent it is occurring. At present, the measurement uncertainty in the global instrumental temperature record is a twentieth of a Celsius degree.

Given that the climate debate is about minuscule fractions of a degree, that measurement uncertainty is too large for comfort. It is one reason why we are able to say that over the past couple of decades the measured global warming is statistically indistinguishable from zero.

To make matters worse, there is now overwhelming evidence that climatologists all over the world have been tampering with temperature data, sea-level data, paleoclimate data, etc., etc.. The tampering always seems to be in the direction of making it appear, artificially, that there is more of a problem than there is.

So we now need to extend the Climate Reference Network from the United States to the rest of the world. The cost would be a small fraction of the vast sums being squandered on windmills, solar panels and suchlike fooleries.

As far as possible, the Climate Reference Network should be independently supervised by experts in instrumentation and in statistics. Climatologists should be allowed nowhere near it: they have proven themselves untrustworthy. Their role will be to receive the results from their betters with appropriate humility and gratitude.

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The same applies to sea level, where the NOAA has recently had to confirm what the Envisat satellite had long and clearly showed: sea level is rising at a rate equivalent to two or three inches per century, or less than a quarter of the rate reported by the climatologists who have been tampering inappropriately with the raw data from the laser-altimetry and gravitational-anomaly satellites.

While we’re about it, we should also establish a new network of bathytelemetry buoys to take repeated, worldwide measurements of the acid-base balance of the oceans. Are the oceans becoming less alkaline or not? I suspect the answer is “not a lot”, but we shall not know unless and until someone stops giving money to the 50-odd climate models that now cost us a purposeless fortune and redirects it towards actual measurement.

So it is with the Doric columns. When I retire, in about half a century, I shall bumble around Greece, Asia Minor and the Italian littoral taking careful measurements of the circumference of each drum of a typical Doric column. Then I shall do some curve-fitting to see how close the results come to the shape of an ellipse.

There will be uncertainties, of course: the stones have been around for a long time, and they are well worn by the weather, the Turks and the restorers. At the end of it, though, I shall have a clearer answer to the ellipse question than anything now available in the scientific literature.

In the meantime, I have asked Anthony to post up a link to a PowerPoint presentation that shows my design for our little cottage in Rannoch. Here is its East Front, which faces the long view down Loch Rannoch to the snowy hills.

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It looks big, but it is small (just 26 ft high). It looks expensive, but, like the original Doric temple, its ornamentation, including the columns, will be of timber, carved by a trainee craftsman as his apprentice-piece. It is a simple building and will not cost much.

The profile of each column is a truncated semi-ellipse. The apprentice will have no difficulty in reproducing it accurately.

Finally, the wreaths in the metopes are taken from the Choragic Monument of Thrasyllus on the flank of the Acropolis in Athens. The Turks blew it up in 1820, but it had been much admired and sketched by then, and its influence on architecture – especially in the United States – is out of all proportion to its size.

I am a devoted admirer of the United States, so I wanted to incorporate in my cottage one detail from the Capitol in Washington DC. Next time you visit the Capitol, take your binoculars into the Rotunda and train them on the frieze high above you. There you will see the Thrasyllean wreaths. If you visit us in Rannoch, you will see them there too, but you will not need binoculars.

Let me know what you think of the Plommerian theory, and of my designs for the cottage in Rannoch. If climatologists were half as systematic in their approach to their subject as the architects of ancient Greece, there would be no climate scare.

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Footnote: In case one or two of the architectural terms are unfamiliar, here is a glossary of the ornamentation characteristic of the Doric order.

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See the plans here in this PowerPoint: doric (pptx)

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David vun Kannon
January 24, 2013 7:04 pm

Chris,
I don’t speak Pretentious, so I ran your post through Google Translate. Here’s what I got:

I am self-important.

Really, that’s what it said. Well, repeated about 100 times. You should be careful. You can go blind or grow hair on your palms, doing it that much.
I’m glad you like Washington! We like it too. It is named after a revolutionary, did you know that? After you finish enjoying the Capitol, you might toddle over to the National Archives to check out a document we have there called the Declaration of Independence. It’s not written in Pretentious, so I’ll give you a precis.

No kings.

I think it applies to fauxbility also.
Ah, da Vinci. The age of enquiry, not preaching. So, how did da Vinci go about answering the question? He went into the forest and measured 100 trees of different species? What’s that you say, bunky? He drew a picture? It ‘looked close enough’? P’shaw, that’s just modeling!
Here’s some help on the tree topic, Chris.
http://keisan.casio.com/has10/SpecExec.cgi
Each part of the tree can be thought of as a truncated cone. Using the default numbers on that site’s calculator (bottom radius 2, top radius 1, height 3) one section of the tree has about 22 cubic units of volume. That section will support two branches.
Now repeat the calculation, substituting 1 for the bottom radius (because the bottom radius of the next section has to equal the top radius of the previous section) same height, and new top radius of 0.5. Each of these new sections has a volume of about 5.5 cubic units, and since you have two of them, the total volume for the new section is about 11 cubic units. That is being generous, since the two branches are overlapping at the bottom, and are usually shorter to preserve the scaling.
So at each branching, the volume drops by half. It might not look like that is happening in da Vinci’s sketch, but the sketch is a 2D projection, and we are notoriously bad at estimating volumes from areas.
Ah, the age of enquiry. BTW, Chris, if you’d like to enquire about how to write an essay, ask Willis. He’s got it nailed.

climatebeagle
January 24, 2013 8:41 pm

Zeke Hausfather says:
“compare the Climate Reference Network”
Zeke, what exactly are you plotting when you say USCRN in your image?
Isn’t USCRN a collection of stations, not a single value? I don’t see anything on their site that produces a single US value, so you must be applying some algorithm to obtain that value. Is that considered part of USCRN, approved by NOAA? Is the algorithm described anywhere, or is it a simple averaging of stations?
How does this algorithm handle the increase in online stations (nearly 3x) from 2004 to 2012?

pochas
January 24, 2013 8:46 pm

No, no, no, Christopher! Build in in Greece, where it belongs! Much larger and absolutely no wood. That’s where you’ll be spending your time anyway. Build it right in the middle of a large olive plantation. With an olive press. Hire a local foreman and some household staff. Start a small business and private brand your olive oil. The illustration above would make a great label, “Monckton” “Extra virgin olive oil” “Product of (some small town in the Peloponnese). With your name recognition, you will never be able to fill all of your orders. I’ll bet you already speak pidgin Greek.

thunderloon
January 24, 2013 9:11 pm

Life can only reproduce if it grows in a manner that does not kill it before it can reproduce.
Simply put, trees grow following a randomly selected heuristic which results in the least destruction due to outside forces and its own growth. The tree didn’t sit around planning for a decade while doing load and torsion studies before it grew…
You might as well ask rice why it isn’t asparagus.
This is identity theorem at its most literal.
The Doric column is based on vertical stress loading of a compressible rock which can suffer surface damage that leads to sundering of the inner mass of the stones.
There’s even a reason why the ones with fluting down the side last longer than the smooth ones.
So, the correct answer to both your posed conundrums is: “Both sides have their heads up their backsides and are wrong.”

jorgekafkazar
January 24, 2013 9:14 pm

Robert Austin says: “I suppose it will be alleged by the usual suspects that your “temple” will be paid for by the contributions of ‘big oil’.”
Since it’s a religious sort of building, I think it more appropriate if it’s paid for by “Big ChrisM.”
Here’s what I want in the bottom of my garden:comment image

F. Ross
January 24, 2013 9:30 pm

“…
Finally, the wreaths in the metopes are taken from the Choragic Monument of Thrasyllus on the flank of the Acropolis in Athens.
…”
Oh sure, that’s easy for you to say. :>)

Ian H
January 24, 2013 9:49 pm

I am very much looking forward to your visit to New Zealand. I will be there. I am I awe of the number of talks and events you have packed into your schedule. Where do you find the energy? Anyway thank you for being crazy enough to undertake this thankless task.

January 24, 2013 10:28 pm

Beautiful post. A simple question for “enthusiatic mathematicians”: Will fractals ever comprehend the Golden Mean?

Richard111
January 24, 2013 10:42 pm

Lovely. And timber columns! So green.

January 24, 2013 11:29 pm

Architecture can make statements. When a bank uses a the stout, robust, Doric order it is saying ‘your money is safe with us’. However, Roman styles were more commonly used for buildings intended for commerce or administration. Greek styles were associated with learning so were popular for libraries and universities. But this was all a bit pretentious and meant nothing to the average Joe.

What, you may wonder, has any of this got to do with climate change?

First, climate, without the “change”. Classical temple forms work best in the high strong Mediterranean sunlight where their mathematical refinements can best be discerned. I’m not sure they work under the grey skies of Rannoch Moor.
Their low roof pitches worked fine with terracotta tiles and the dry Mediterranean climate. Alexander Thomson’s (h/t ntesdorf) Greek styled buildings looked great but their slate roofs (not normally pitched so low) leaked like sieves under the onslaught of the Scottish weather. Building technology has advanced but the important lesson is: don’t let dogma trump common sense or, to put it another way, don’t let theory overrule observation.
Second, climate change: the precedent of the politics of architecture.
The Greeks and Romans taught us the importance of scale and proportion. The Parthenon is a “symphony is stone” because each part works harmoniously with every other. [If you think this is so much academic babble I suggest you google the “Golden Section” and see how often that proportion recurs in human endeavour. It is not by chance].
Renaissance thinkers like Leon Battista Alberti were much more explicit in linking the mathematical principals that underpin good music and good architecture. Appropriate use of those principals is more important than slavishly copying individual classical motifs.
However, in the 20th century, the architect Charles-Édouard Jeanneret (who rather pompously styled himself as “Le Corbusier”) devised his own system of proportion called the Modulor.
Unfortunately, it was such a smorgasbord that (somewhat like certain paleoclimate reconstructions) you could make almost any proportion fit the preconceived scheme with a little tweaking.
You may never have heard of Le Corbusier, but you have almost certainly witnessed his legacy, which is more to do with public housing (where all common sense, as well as sense of proportion was lost). He designed the Unité d’Habitation, which became the archetype of much of the Soviet style housing that has blighted our modern cities.
The bureaucrats enthusiastically adopted these “machines for living” as part of their grand social engineering plans through public housing. Asking people what they actually wanted, never occurred to them. Empirical observation wasn’t going to stand in the way of “progress”. These vertical slums (known as “projects” in the U.S., “schemes” in the U.K. and “banlieues” in France) were an unmitigated disaster.
Those that haven’t been torn down are sinkholes for public funds, lingering on only because of expensive and regular renovations. You can see an example of a Le Corbusier clone (Marlboro Houses, Brooklyn) towards the end of the 2007 movie American Gangster, starring Denzel Washington and Russell Crowe, where it is set as the centre of a major drug-dealing operation amidst 70’s squalor. Conveniently, for the filmmakers, it was being renovated at the time.
For decades the “progressives” denied the lack of social “progress” resulting from their attempts at “social engineering” and just marched on regardless. The politicians, town planners and architects who had attained “class consciousness” didn’t actually live in their creations, preferring, for example, gentile Georgian townhouses or cottages in the Cotswalds. Likewise, the rigours of the new carbon puritanism do not apply to many of those who now preach it. Apparently, there are special dispensations for those engaged in saving the planet.

Swiss Bob
January 24, 2013 11:33 pm

Is that bloke from Chelsea still running the pub?

Editor
January 25, 2013 12:05 am

Christopher, lovely cottage, but you have forgotten two very important things……..
The windmill and solar panels!

Editor
January 25, 2013 12:10 am

Oh, and don’t forget the “Nuclear Power; No Thanks!” stickers on the front door!

Adam Gallon
January 25, 2013 1:36 am

You’ll never get Planning Permission for it!
No mention of it being “Carbon Neutral”, “Sustainable” or “Low Cost”.
Also, you’re an English Toff, so no chance of a Commie Jock passing it! 😉

Cold Englishman
January 25, 2013 2:11 am

Wonderful article this, took me back to my own college lectures, and as a reasonably proficient mathematician, I had always wondered about the shape of the doric column. Now I know it was an ellipse, truncated to the golden ratio. Made my day!

January 25, 2013 3:28 am

David Ross:
You make some good points in your interesting post at January 24, 2013 at 11:29 pm. But you decry upgrading shoddy buildings saying

The politicians, town planners and architects who had attained “class consciousness” didn’t actually live in their creations, preferring, for example, gentile Georgian townhouses or cottages in the Cotswalds.

Genteel Georgian townhouses and cottages in the Cotswolds are now desirable residences but they were rubbish when they were built.
The long terraces and sweeping crescents of Regency architecture result from a rapid construction method based on use of the cheap and available standard Admiralty log (used for ships’ masts). They were ‘thrown-up’ and their glorious frontages hid the poor buildings.
The wonderful terraces and sweeping Crescents of Bath are said to be “Queen Anne at the front and Sally Anne at the back”. And they were built for then then version of ‘time-share’ during the winter ‘Season’ when the rich ‘took rooms’ in Bath. The Regency buildings are similar in Bath and Cheltenham (then a competing Spa with Bath and now ‘the Center of the Cotswolds’) but Cheltenham has many more of them. I lived for a time in Lansdown Crescent, Cheltenham, and it certainly was ‘Sally Anne at the back’.
Cotswold cottages are very pretty but were built as the homes of labourers.
Genteel Georgian townhouses and cottages in the Cotswolds are now desirable residences because they have been developed, upgraded and improved by the methods you decry.
Richard

January 25, 2013 3:45 am

David vun Kannon:
Your post at January 24, 2013 at 7:04 pm begins saying

Chris,
I don’t speak Pretentious, so I ran your post through Google Translate. Here’s what I got:
I am self-important.

I don’t speak Snivelling Fool, so I ran your post through my brain. Here’s what I got.
David vun Kannon feels so unsure of himself that he tries to demean others in attempt to obtain a feeling of self-worth.
Richard

Phil's Dad
January 25, 2013 4:02 am

ConTrari says:
January 24, 2013 at 10:56 am
Oh no…please don’t mix a Doric temple with a Palladian villa, doesn’t work, y’see.
I am afraid I agree. I know this is a folly and as such impressionistic rather than informative but to the purist your roof line is all wrong. You could save it (up to a point) by imitating the peripteral style with an extra column at each corner. Extend the main pediment (and roof, obviously) to overlap the edges of the resulting extended entablature on your principle face and remove the pediment altogether on the “sides”. Finally, include columns in place of the anta as these would have been obscured by the columns in a true peripteral style build.
Think about doubling the height of your door. Oh and rectangular windows (if windows you must have – the cella often didn’t). It would be fun to frame these very simply and engrave the exterior of the (single sheet of) glass to look like carved panels.
Pedantry aside, you are to be congratulated for creating a little something worthwhile.

DannyL
January 25, 2013 4:16 am

Your Lordship will need Planning Permission for that. You will not get it, the planners will say ‘it introduces an incongruous element into the landscape’. The Planners, for all non Brits, are mostly youngish female bureaucrats who are just about to disappear on maternity leave and make decisions based on god knows what.

High Treason
January 25, 2013 4:38 am

More to the point,when a civilization collapses, its technology becomes forgotten for many centuries. Great civilizations which collapse tend to NEVER regain their former glory. The relevance is that the evil behind the Global Warming Hoax seeks actively to destroy our current society and start again with the ashes and mould it to their insane Fabian Utopia which cannot possibly work. I have found 3 fundamental flaws in their implementation already. Perhaps the readers can add to the list.
1) UNIDO states that nothing shall interfere with national sovereignty, yet Agenda 21 calls for the end of nation states with a One World Government(with unelected leaders, no less.)
2) UNIDO calls for the world to be divided in to discrete economic activities and be dependant on the rest of the world for essential inputs.Most nations , especially Australia, are designated for NO agriculture. This explains the Murray-Darling insanity(40% of our food supply sacrificed to turn a salt water lake in to a fresh water lake and for “environmental flows”) and allowing CSG exploration on prime agricultural land. Australia is designated for mining and technology ONLY. On the other hand,ICLEI (aka local Agenda 21) states that food should be sourced only from within 100 miles (within the little human enclave within nature.) Nice one, starved by bureaucratic decree.
3) In the Western world, women get far more rights than men. Rights which many males feel to be heavily abused and exploited.On the other hand, there is a distinct bias towards Islam- notice how they bow down to them? UN resolution (I think) 1878-someone will correct me, states that nothing shall be done to harm a Muslim, which includes verbal harm. Well there goes freedom of speech. And they do not have the best reputation for treating women.
These 3 conundrums contain complete opposites. Bit like the Nazi tactic-“make the lie BIG, tell it often enough and people will start to believe it” How can their all so structured Fabian Utopia, all so carefully planned in great detail actually work with these total opposite aspects within the thought train ? It will be one horrendous FAIL. Remember, most of the original Fabians were writers of FICTION .
On a better note, us Antipodeans eagerly await your tour down under.

MangoChutney
January 25, 2013 5:41 am

“When I retire, in about half a century…”
Don’t
PS You touch on the Golden Ratio (1.618), which is an incredible number, see here for starters:
http://www.goldennumber.net/

Gareth Phillips
January 25, 2013 6:25 am

‘History will crown Anthony Watts as one of the great heroes who defended the freedom to do science rationally against the political forces that would have flung us into a new Dark Age by their Marxian insistence that science should conform to the party line (excitingly rebranded “consensus”) rather than vice versa.’
You don’t think this applies to both right and left wing politics? If not it may be worth while reading the posting regarding warming and beliefs.

Tony McGough
January 25, 2013 6:29 am

I like the bit where you say “vast sums being squandered on windmills, solar panels and suchlike fooleries”.
The Penny Catechism inveighed against belief in “charms, omens, dreams, and suchlike fooleries”. I don’t suppose they had Global Warming in mind when writing it, but there were equivalent grotesqueries around at the time…
I wouldn’t like to spend Christmas on the moors at your cottage ornee – the cold, the wind, the darkness – but it might be splendid in the near permanent light of midsummer. A Midsummer’s Night Dream?

PaulH
January 25, 2013 6:41 am

As far as possible, the Climate Reference Network should be independently supervised by experts in instrumentation and in statistics. Climatologists should be allowed nowhere near it: they have proven themselves untrustworthy. Their role will be to receive the results from their betters with appropriate humility and gratitude.
If this rule was in place 20 years ago, it would have saved us all a lot of wasted resources over the CAGW swindle.

xham
January 25, 2013 8:37 am

Very impressive architectural design. BTW, with such low ceilings of ~7ft where you are you going to hang the chandeliers?

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