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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January 24, 2013 12:35 pm

Ray said January 24, 2013 at 11:34 am

Give this man a crown.
From mathematical puzzles to skydiving… Isn’t there anything your can’t do Lord Monckton?

One suspects his Lordship might have some difficulty in becoming pregnant…

JDN
January 24, 2013 12:36 pm

Does this make Monckton a Doric columnist? I’m not saying you have to call your place Bruce Wayne Manor, but Dork Cottage (just ask the Scots how they intend to pronounce it)? What about Entasis Place? I would come up with a new name.
And don’t worry Christopher, we’ve always known.

January 24, 2013 12:43 pm

Old Dog said,
“Nice paper; but I will be interested to see what the planning department in Perth have to say when you apply for planning permission. And will it be up to standard regarding insulation?”
Call it an agricultural building (ie a temple to, say, Silenus) and you don’t need planning permission.
My father erected a doric folly in his garden (he too being an architect). He cast the columns in three main sections in white concrete, making the molds himself (we still have the molds as well as the columns), fully replete with entesis etc. It was dedicated to the god of wine with an inscription from Horace:
Dulce periculum est, O Lenaee sequi deum cingentem uiridi tempora pampino – ‘sweet is the peril, O Lenaeus, to follow the god who entwines his temple with the green vine’
Never got planning permission on the basis it was an agricultural building!
Sorry, a bit off thread.. but what the heck.

DirkH
January 24, 2013 1:16 pm

Zeke Hausfather says:
January 24, 2013 at 12:19 pm
“It is rather difficult to show 60 years of CRN data when the network has only been around since 2004. However, if you extend the HCN line backwards from the graph I posted you get this:”
8 years, is that climate?

Richards in Vancouver
January 24, 2013 1:31 pm

Great art and fine science can co-exist quite profitably. My favourite painter of the last many decades, and perhaps the most influential, is Anthony Watts.
I particularly appreciate his White Period.

jono1066
January 24, 2013 1:45 pm

You missed a bit of the house off….
No Tunnel !
traditional, hand dug, stone lined, human sized tunnel, containing all those nice curves including the circle, from base to apex, a good place to keep the wine and to escape the heat of the mid-day sun

January 24, 2013 1:57 pm

DirkH,
8 years is not climate. And CRN does not “strongly suggesting that much of the imagined “global warming” of the past 60 years may have been not just imagined but imaginary” because it a) only has an 8-year history to-date and b) aligns pretty well with existing records (USHCN) over those 8 years.

Steve C
January 24, 2013 2:15 pm

To those who do not understand British aristocracy:
If you are a Lord, you erect a ‘cottage orné in the high Classical manner’ on your land.
If you aren’t, you spend years battling the local Planning Department for permission to erect a garden shed to keep the lawnmower in.
Meanwhile, if you are Lord Monckton … and if you’d like a ‘tenant orné’ to look after that rather fine new cottage … Anthony has my email address. 🙂

TomRude
January 24, 2013 2:33 pm

Precision: according to CNES/LEGOS etc… the record of Envisat had orbital errors in the last few years of operation, a reason that prompted to virtually “suicide” the inconvenient satellite. I recall Steven Goddard wrote about that http://www.real-science.com/sea-level-data-corruption-worse-than-it-seems
However, even if we take at face value the problems suddenly discovered that affected the last few years of Envisat, it does not change the measurements during the first 5 years, indeed an inconvenience for the rabbid sea level risers…

Niff
January 24, 2013 2:39 pm

We are blessed to have your thoughts. Thank you.
…without ever becoming so vulgar as to reach a conclusion in one direction or another.
Well CAGW was “settled science” before there was even any data….how vulgar is that?

Konrad
January 24, 2013 2:56 pm

“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.”
I find this misleading. There is a very simple method to understanding the role of radiative gases in our atmosphere.
Step 1 – Ask the right question. Not “what happens to the atmosphere if we add a tiny amount of CO2 to the atmosphere?” but “what happens if the atmosphere lost all its radiative properties?”
Step 2 – Model the atmosphere correctly. Do not model the earth and atmosphere as a single composite body. Do not model the atmosphere as a single body or mathematical layer. Do not model a constant solar input. Model an atmosphere with depth, gravity and moving gases and a diurnal cycle. Linear flux equations will not solve this, unless they are applied iterative to many discrete MOVING air masses in intermittent contact with a surface with a diurnal temperature fluctuation.
Ask the right question and model the atmosphere correctly and you will find –
1. Radiative gases are critical for continued convective circulation below the tropopause.
2. Without convective circulation, the atmosphere heats.
3. Conductively cooling the atmosphere at the surface cannot offset conductive heating of the atmosphere during a diurnal cycle.
4. Radiative gases act to cool our atmosphere at all concentrations above 0ppm.
So how much cooling will occur if we add more CO2 to the atmosphere? Convection may speed up slightly but this would be too small to measure. The atmosphere already has enough H2O to drive convective circulation and pump heat to space. Climate temperature sensitivity to CO2 at this point is 0.0C for all practical purposes.
Public sensitivity to CO2 induced fraud is however another matter. Most measurements indicate a rapid increase which could lead to the extinction of the Greater Western Spittle-Flecked Doom-Screecher.

Post
January 24, 2013 3:29 pm

I believe the straight edges of the windows reveal the actual shape of the columns.

Berényi Péter
January 24, 2013 3:30 pm

“Be that as it may, the Greeks, like the Persians, Hindus, Arabs and Egyptians before them and the Romans after them, were enthusiastic mathematicians.”
Nope. Persians & Arabs came after the Greeks, not before. Babylonians, mentors of Greece were neither. However, the most important ingredient of math, genuine mathematical proof is a unique Greek invention, was never ever dreamt of by anyone else before and not arrived at independently anywhere else. Therefore, in the strict sense of the word, Egyptian, Babylonian, early Indian or Chinese math is not even that, but something else.
On the other hand, as soon as Euclid’s Elements were disseminated to the wider world, first by the Hellenistic empires, then Arabs (from Europe to India), later by Jesuits to China & Japan, everyone was captivated eventually by this enormous system of intricate logical constructs, even if the road was not always easy. Curiously enough, Romans were never great fans of this highest achievement of ancient Greek culture (it was not even translated to Latin until the fifth or sixth century), there was not a single great Roman mathematician and they have not passed on much of it to medieval Europe either.
See Xu Guangqi and the Chinese Translation of Euclid’s Elements (1607) for how hard it was to transplant purely deductive reasoning into another highly evolved cultural milieu.
Even Europe had to wait until the 19th century to have the full depth of Euclid revealed (by Bolyai and Lobachevsky).
I am particularly fond of Bolyai’s contribution, who has shown that paracycles on a parasphere behave exactly like straight lines on a (Euclidean) plane. With this single result all pre-existing theorems of Euclidean geometry (many thousands of them) could readily be translated to an entirely new context. One of the most beautiful moments of science, surely.

Davet916
January 24, 2013 3:38 pm

Andywest2012: “If so, opting to shrink energy usage would doom those who try to extinction, while others who don’t follow this path will inherit the future.”
Unfortunately they don’t shrink their own energy use. They just try to shrink the use of everybody else while taxing away what we have left and if we die off, oh well! Somehow I just can’t picture big Al, herr Ehrlich or any others of the elitist mentality living minimally while we move toward extinction.
Things should level out somewhat with the economic collapse of the fiat money systems but the mentality will still be there. They just won’t have props to back it up. What can they really produce that is of value to others? “I’ll trade you a sandwich for a Krugerand.”
It will be interesting times, indeed!
Davet

Christopher Hanley
January 24, 2013 4:21 pm

It’s a miniature Villa Rotunda (without the rotunda — pity about that); a charming bit of fun in the best tradition of British follies. I’m a bit baffled though as to where the entrance appears on plan, I would expect an impressive lobby and stair.
The ancient Greek temples, particularly the Parthenon, are a bit overanalysed (IMO) as to supposed optical corrections and refinements like the swelling base (stylobate) columns, slightly sloping architraves, abacuses etc. considering they have stood for two and half thousand years on somewhat inadequate footings by modern standards — the Parthenon was almost blown apart.
Interesting article as always Lord Monckton

Leo Danze
January 24, 2013 4:22 pm

Christopher, Thank you for all you do.
Pommerian theory is interesting.
The center of the ellipse is at the line of widest entasis?
And is that line on the column, at the golden mean measurement above the stylobate?
All being a natural outcome of the conic factors?
Lovely.

NikFromNYC
January 24, 2013 4:43 pm

God is up against the same barriers, and between the cracks exist our lives.
“I understood that I was to be the savior of modern painting. It all became clear and evident: form is a reaction of matter under inquisitorial coercion on all sides by hard space. Freedom is what is shapeless. Beauty is the final spasm of a rigorous process. Every rose grows in a prison.” – Salvador Dali (Dali on Modern Art 1957)

dearieme
January 24, 2013 4:48 pm

I suppose that few American readers will realise just how, um, eccentric it is to build an ornate cottage on Rannoch Moor. I have driven across the moor all too often – a harsh, dreich bloody place, if you ask me.

Paul Hanlon
January 24, 2013 4:50 pm

Would I be right in thinking that your cottage is 42ft long, given your liking of the golden ratio? Excellent posting, yet again. I never made the connection between the cross-section of a trunk and its branches. Please keep the Tories feet to the fire. If I still lived in London, I’d be voting UKIP.

January 24, 2013 4:57 pm

Lord Monckton, we worship your actions on CAGW and your dedication to the truth, but that design for the Cottage Ornee at Rannoch is truly awful. Please spend some time looking at the marvelous work of Alexander ‘Greek’ Thomson and Charles Rennie MacIntosh north of the border and even have a look at the masterpieces of house design by Andrea Palladio and John Nash before you start work on site. You would live to regret this kitschy pastiche shown above.

January 24, 2013 5:02 pm

Konrad says January 24, 2013 at 2:56 pm

4. Radiative gases act to cool our atmosphere at all concentrations above 0ppm.

I’m thinking, not-so-much on any of your points; If what you’re intimating is that the planet’s surface is cooled by other than radiation from the surface, you’ve crossed over into ‘nut’ territory …
Are you familiar with the meteorological axiom that says ‘air masses acquire the thermal and moisture characteristics of the region over which it has passed’?
.

Moe
January 24, 2013 5:06 pm

The good Lord Monckton has put some excellent planning in his design. I would have liked to hear some of his thoughts about how he would make the design energy efficient. Things like insulation, recycling heat, orientation of building to minimise/maximise solar input. Once built it is difficult to retrofit a dwelling. Also a few simple changes (like double glazing) is very cost effective at building stage rather than replacing single pane glass later on.

January 24, 2013 5:52 pm

The Pompous Git says: January 24, 2013 at 12:35 pm
——————————————————
>>Ray said January 24, 2013 at 11:34 am
>>Give this man a crown.
>>From mathematical puzzles to skydiving… Isn’t there anything your can’t do Lord Monckton?
————————————————————————————————————–
One suspects his Lordship might have some difficulty in becoming pregnant…
================================
Maybe not … http://www.huffingtonpost.com/2012/09/04/thomas-beatie-pregnant-man-fourth-child_n_1855318.html

Konrad
January 24, 2013 6:08 pm

_Jim says:
January 24, 2013 at 5:02 pm
“I’m thinking, not-so-much on any of your points; If what you’re intimating is that the planet’s surface is cooled by other than radiation from the surface, you’ve crossed over into ‘nut’ territory …”
——————————————————————————————————————–
Jim,
Nuts? not at all. I don’t believe in AGW 😉
The land and ocean surface of the planet can be cooled in the following ways –
– Evaporation and transpiration into the atmosphere
– Conduction of energy into the atmosphere
– IR radiation directly to space
– IR radiation into the atmosphere
The atmosphere can be cooled in the following ways –
– IR radiation directly to space from the mid to upper troposphere
– Conduction of energy to the surface
Jim, if you are intimating that the “planets surface” is the atmosphere, land and oceans combined, then that is truly nuts. The three main forms of energy exchange are conduction, convection and radiation. Model the earth as the AGW pseudo scientists do and you would be failing to calculate the role of radiative gases in convection below the tropopause.
If you fail to properly model the role of convective circulation on atmospheric temperatures you could end up believing the AGW nonsense. Check your definition of surface. If your definition of “surface” is the land surface, ocean surface and atmosphere combined then all your calculations will give the wrong answer. The right answer depends on not doing all the wrong things –
– Do not model the “earth” as a combined land/ocean/gas “thingy”
– Do not model the atmosphere as a single body or layer
– Do not model the sun as a ¼ power constant source without diurnal cycle
– Do not model conductive flux to and from the surface and atmosphere based on surface Tav
– Do not model a static atmosphere without moving gases
– Do not model a moving atmosphere without Gravity
Do it right and you will end up with the correct answer. Adding radiative gases to the atmosphere will not reduce the radiative cooling ability of the atmosphere. The net effect of radiative gases in our atmosphere is cooling at all concentrations above 0ppm.

eo
January 24, 2013 6:56 pm

Nobody could predict the future and this is the problem with modelers. They got so involved in their computer models that they believe in its capability to predict the future even if the math has shown the phenomena could not be modeled as it is chaotic by nature. As nobody could predict the future, all decisions are really based on guesswork or one may say intuition. A rational decision maker insures the risk of making the wrong decision. On this aspect, one could say that all decision makers on AGW ( except for Al Gore) are completely irrational. If the political bodies have made a decision to go for the guesswork that there is AGW, then all the research funding should be directed to show there is no AGW so that the rational decision maker could change his decision the moment his guess work has been proven wrong or exaggerated. Putting all of the research funds will only magnify the damage from the wrong decision. I am just wondering how many of the scientific bodies and scientist supporting AGW would be on the other side of the debate.

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