Most People Live in a Flat Earth and Struggle to Visualize Climate and a Three-Dimensional Atmosphere.

Guest Opinion: Dr. Tim Ball

In a recent article, I used an illustration of 1200 km circles around a weather station to illustrate the extent the IPCC considered it represented. A comment about the article asked if I was aware of the map distortion and its effect on the circle of coverage. It was an arcane but important observation. He was pointing to the distortion created by using a Mercator projection map.

I am very aware of the distortion. My entire career involved working with maps. This included flying in the Air Force; teaching courses and running labs about maps and map reading; studying climate weather maps; the movement and migration of people driven by climate change; and teaching a course in political geography. I provided major research for a book on the search for the Northwest Passage on the Pacific west coast written by Sam Bawlf titled, “The Secret Voyages of Sir Francis Drake.” Dr. John Dee, science advisor to Queen Elizabeth I, gave Drake his sailing and scientific instructions. This included accurately determining the longitude of the west coast of North America. This research resulted in Drake visiting the Dutch map maker Abraham Ortelius (1527-1598) after his return. Two months after Drake’s visit Ortelius produced a new world map with the coast shifted 60° of longitude to its proper position.

Dee drew a map for Elizabeth I that illustrates his spatial awareness of the world (Figure 1). It is a unique perspective, even for today’s space-age citizen because it is looking down on the North Pole. Our view of the world and spatial relationships were distorted by the Mercator map introduced in 1569. Its specific purpose was to make navigating a three-dimensional world using a two-dimensional map easier.

The distortion of a Mercator map increases as you move away from the Equator until the North and South Poles, single points on the Earth, become as long, 40,075 km, as the Equator (Figure 2). The problem is it became the standard projection in the classroom and society. In many ways, it set back understanding of the spatial form and relationships on the Earth and in our solar system. This seriously hampered the understanding of geographic relationships, climate, and climate change.

Historians talk about the Greek Miracle, a period from 700 to 400 BC. The global climate of the period, which began cooling around 850 BC, was cooler than today. Greece was cooler and wetter and conducive to plant growth similar to France today. Central to the Greek Miracle was the understanding of the third dimension. It is manifest in the construction of the Parthenon. They built the center of the base higher than the ends to offset the distortions caused by the eye to make it appear level. The columns bowed out in the middle to prevent them from looking bent in when viewed from below.

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Figure 1

Awareness of space and the third dimension allowed them to calculate the Earth’s circumference accurately. Eratosthenes did it by measuring the difference in the length of the shadow of a stick at noon at two locations (Figure 3).

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Figure 2

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Figure 3

The idea of a differing angle of the sun is critical to understanding climate and climate change. This is why the word climate derives from the Greek word for inclination. It is also why the Greeks were able to identify three climate zones, the Torrid, Temperate, and Frigid, (Figure 4).

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Figure 4

The three-dimensional (3-D) understanding disappeared during what some historians call the Dark Ages. Regardless of the semantics about the phrase, it was a period when the Catholic church dictated the western view of the world. They supported the Ptolemaic view of a geocentric universe, that is with the planets, including the Sun, orbiting the earth at the center.

This view held until Copernicus (1473-1543) proposed the heliocentric, Sun-centred system, in 1514. In fact, his theory did not receive public disclosure until after his death in 1543. He knew the dangers associated with opposing prevailing wisdom. The other problem is all the visual and other evidence for the public contradicts the theory. Physical evidence to prove the theory didn’t appear for 182 years. It occurred in 1725 with the discovery of parallax. Few know or understand it, but then it is of no consequence to most people’s lives. A survey shows that 1 in 4 Americans believe the Sun orbits the earth.

The Copernican Revolution marked a return of the 3-D perception of the world. It also marked the return of the Greek perception in all aspects of western society, known as the Renaissance, or rebirth. (Some wag in England dubbed it the ‘Wrenaissance’ after Christopher Wren who reintroduced classic Greek architecture to England). Music introduced the concept of harmony. Art rediscovered the vanishing point exemplified in the works of Canaletto (Figure 5).

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Figure 5

Most people live in the world they perceive. For example, the Inuit tradition is the Earth is saucer-shaped because there is a mirage effect in the arctic called looming. A thin layer of warm air close to the surface that makes the horizon ‘rise up’ creates it. The visual evidence for most people is that the Earth is flat with a surrounding rim.

There are few places where you can be high enough with a flat surrounding to see the Earth’s curvature. That doesn’t mean they don’t know the Earth is round, it is simply their experience. It also means they rarely think about things in a 3-D way, which brings us back to the Mercator projection and its influence on spatial perceptions of the Earth.

Benjamin Franklin (1706 –1790) was one of the most perceptive and aware people in history. He was, by all measures, a legitimate polymath. However, he also spanned the onset of the Renaissance. As the first joint postmaster general for the American colonies he increased the speed of mail between America and France. This was especially important during the US Revolution. He provided thermometers to postal ships, so they could stay in the warm, strong North Atlantic Drift going east and avoid it going west.

Despite this, and his experiments with kites and lightning, Franklin could not understand the wind patterns associated with mid-latitude cyclones. This was a spinning motion around a low-pressure center that moved across the country. It wasn’t until 1857 that Dutch meteorologist Buys Ballot established the relationship between wind direction and the horizontal pressure pattern. As part of my instructions for Canadian farmers on how to track weather systems, I taught the simple method based on Buys Ballot’s Law for tracking the movement for the center of a low-pressure system. In the Northern hemisphere with the wind at your back, the low is on your left. They combine with this with a barometer to determine the direction and movement of the system. They can calculate when it will pass and allow them to plan to get chores done.

The public lack of 3-D perception continues. Most are unable to imagine or even explain how the moon orbits the Earth. People look at weather maps but are unable to visualize the 3-D atmosphere. Few know the Troposphere that effectively marks the top of the atmosphere in which weather occurs is twice as high over the Equator with an extreme difference between 20 km at the equator in summer and 7 km over the Poles in winter. For most people, the weather is 1-D, while climate is 3-D. The Milankovitch Effect illustrates the challenge to understanding climate change (Figure 6).

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Figure 6.

Most people understand that the Tilt of the Earth is a constant 23.5°. They understand the Orbit is unchanging and slightly elliptical. They have more difficulty imagining the orbital change, even when they learn it is due mostly to the changing gravitational pull from Jupiter. The Tilt is more difficult to grasp because they don’t know how slow the Earth rotates relative to its size, and there is no established cause for the change. They really get lost when trying to understand the Precession of the Equinox, which is a combination of different effects. All this lack of knowledge is about information known to science starting 176 years ago.

Another complicated 3-D concept for 2-D people to grasp is Coriolis Force. The name is incorrect because there is no force. It is properly the Coriolis Effect that in reality appears to create a force affecting anything moving across the surface of the Earth. I illustrated the difficulty of imagining and intellectualizing the process by telling the students that if you look down on the North Pole, the Earth is spinning counterclockwise, but it is a clockwise spin when looking down on the South Pole. I then took a globe pointing the North Pole toward them, and while spinning it in the same direction, slowly turned the South pole toward them. Some thought it was a trick globe, others asked for a repeat of the demonstration, most looked very puzzled.

The challenge in climate is somewhat similar to map making. That is, to take a globe (3-D) and display it on a flat surface (2-D). If you only want to focus on one issue like Great Circle routes (the shortest distance between two points) as with the Mercator projection, you can effectively ignore all other factors. Science calls this ceteris paribus.

It was what early claims of anthropogenic global warming did. They said if we raise the level of CO2 in the atmosphere temperature will increase, with the critical limitation of ceteris paribus. It is far from that in a complex spherical world that is rotating. Unfortunately, for those trying to explain climate and climate change, none of this is of any consequence to most people. They are quite happy in their 2-D world. The 3-D world of climate only became an intrusion into their 2-D people world when it was exploited by a few for a political agenda.

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jmorpuss
November 4, 2018 3:38 pm

Dr. Tim Ball,
“The idea of a differing angle of the sun is critical to understanding climate and climate change. This is why the word climate derives from the Greek word for inclination. It is also why the Greeks were able to identify three climate zones, the Torrid, Temperate, and Frigid,”

When I went to school , those dotted lines depicting the different zones were solid black lines and there was dotted lines on either side of all solid black line. The dotted lines where the outer limits were the solid black lines shifted between depending on inclination (angle) between Sun and Earth as we rotated round the sun.
This shifting inclination is responsible for the seasons (climate change).
Tim writes
“They have more difficulty imagining the orbital change,”
Here’s how our 3D solar system really travels on it’s journey through space.

November 4, 2018 4:53 pm

” It occurred in 1725 with the discovery of parallax.”

I don’t think that’s correct. What James Bradley discovered was stellar aberration, not parallax.

Tim Ball
Reply to  Bellman
November 4, 2018 6:51 pm

Here is the link that explains what Bradley did.

http://www.flamsteed.org/fasbradley_files/page0001.htm

Parallax is a similar phenomenon to holding up your finger against a fixed background then noting how the finger appears to move by looking at it by each eye separately. The Earth is in the position of each eye as it orbits the Sun and the stars are the finger against the fixed star background.

Reply to  Tim Ball
November 4, 2018 7:16 pm

Yes I know what parallax is, and Bradley couldn’t measure it. The article you link to explains that

“Bradley got the right result for the wrong reason. To prove the Earth is in orbit around the Sun, he’d set-out to measure the apparent change of position of the star Gamma Draconis, expected due to the different viewpoints from the extreme positions of the Earth at each end of its orbit six months apart. Measurement of this annual ‘parallax’ would finally prove that the Earth was indeed orbiting the Sun. However, instead of measuring the apparent change of the star’s position due to parallax, Bradley stumbled onto the first direct evidence for the Earth’s motion through space round the Sun, an effect he called the aberration of light.

As the article says

“It was not to be until 1838 that the first reliable measurement of stellar parallax was announced by Friedrich Bessel in Germany.”

John Tillman
Reply to  Tim Ball
November 4, 2018 9:43 pm

Bellman is correct. Bradley observed aberration, not parallax, but his explanation was not quite correct. Einstein eventually provided the correct explanation for the observations.

https://en.wikipedia.org/wiki/Aberration_of_light#James_Bradley's_observations

John Tillman
Reply to  Tim Ball
November 4, 2018 11:12 pm

Tim,

Your own cited link rightly notes that Bradley found aberration while looking for parallax:

http://www.astronomy.com/magazine/ask-astro/2017/01/proof-earth-revolves-around-the-sun

Parallax wasn’t finally observed until over a century later.

Tim Ball
Reply to  John Tillman
November 5, 2018 9:54 am

So the time between Copernicus and empirical evidence is greater, which makes my point even more powerful.

John Tillman
Reply to  Tim Ball
November 5, 2018 12:18 pm

Right you are.

Aberration of light showed that earth is moving, but not necessarily around the sun.

Final observational confirmation of the heliocentrism came in 1838, when F.W. Bessel (1784-1846) determined the first firm trigonometric parallax for the two stars of 61 Cygni (Gliese 820).

The rotation of the earth was demonstrated experimentally in 1851 by physicist Léon Foucault’s pendulum.

Even so, that earth goes around the sun in an elliptical orbit was generally accepted by the late 17th century. Newton invented his calculus to demonstrate how universal gravitation explains celestial mechanics.

Alan Tomalty
November 4, 2018 7:18 pm

“The Tilt is more difficult to grasp because they don’t know how slow the Earth rotates relative to its size, and there is no established cause for the change. ”
There is a mostly forgotten 1976 study about the earth’s orbit

http://www.mantleplumes.org/WebDocuments/Hays1976.pdf
In it they explain what causes all the major climactic changes. What they don’t explain is exactly the mechanism that causes the change in total heat flux when tilt/ obliquity, precession, and orbital eccentricity all change on cycles of 42000, 21000, and 100000 years respectively. It took a long time for Milankovitch to be accepted and a lot of alarmists still don’t. Apparently the tilt changes up to 2 degrees over 42000 years.

Rick
Reply to  Alan Tomalty
November 5, 2018 7:02 am

“There is a mostly forgotten 1976 study about the earth’s orbit”
You must remember 1976 was a quaint pre-historic time before CAGW took center stage and when the prevailing consensus was a ‘cooling’ planet was in store.

bit chilly
Reply to  Alan Tomalty
November 6, 2018 1:13 am

alan, you must remember nothing significant happened to the earth prior to 1979 and the launch of satellites according to cagw. pre 79 all we had was stasis .

John Tillman
November 4, 2018 9:44 pm

Franklin was born after the Renaissance. Perhaps Tim meant Enlightenment.

RoHa
November 4, 2018 9:58 pm

“A comment about the article asked if I was aware of the map distortion and its effect on the circle of coverage. It was an arcane but important observation. He was pointing to the distortion created by using a Mercator projection map.”

Either the commenter did not go to school, or thought that Dr. Ball didn’t. Those of us who did go to school all learned about the distortions of the Mercator projection before we were twelve.

Reply to  RoHa
November 5, 2018 11:27 am

Indeed that’s about when I first learned about the distortions.
However, according to Ball:
The challenge in climate is somewhat similar to map making. That is, to take a globe (3-D) and display it on a flat surface (2-D). If you only want to focus on one issue like Great Circle routes (the shortest distance between two points) as with the Mercator projection, you can effectively ignore all other factors.
Well as I learned when I was twelve you don’t get a Great Circle route from a Mercator projection, you use a gnomonic projection! You use a Mercator when you want the heading between two points. By his comments Ball appears to be misinformed about projections, surprising given his background.

Patrick MJD
November 4, 2018 10:11 pm

You’ll be surprised how many people really do believe the earth is flat and everything revolves around it.

John Tillman
Reply to  Patrick MJD
November 4, 2018 10:17 pm

Belief in Young Earth Creationism in the US has been falling.

https://news.gallup.com/poll/210956/belief-creationist-view-humans-new-low.aspx

“The percentage of U.S. adults who believe that God created humans in their present form at some time within the last 10,000 years or so — the strict creationist view — has reached a new low. Thirty-eight percent of U.S. adults now accept creationism, while 57% believe in some form of evolution — either God-guided or not — saying man developed over millions of years from less advanced forms of life.”

Chris Hanley
November 5, 2018 12:05 am

“… (Some wag in England dubbed it the ‘Wrenaissance’ after Christopher Wren who reintroduced classic Greek architecture to England) …”.
Brunelleschi (1377 – 1446) was the first architect since the classical era to use the Ancient Greek Classical orders, he was also the first to devise accurate linear perspective and is regarded as the first Renaissance architect.
Christoper Wren’s (1632 – 1723) St Paul’s was completed three centuries later and is generally regarded as restrained late Baroque-cum-Neoclassical.
Inigo Jones (1573 – 1692) was the first architect to introduce classical architect to Britain.

Geoff Sherrington
November 5, 2018 12:16 am

Tim,
We flew a large airborne geophysical survey of Iran before the Shah was deposed about 1979. The Iranian scientists wanted us to supply them with thousands of maps, but they wanted them all to be rectangular, all of the same size and all of the same scale. It took us some days to talk about earth curvature and scale changes as one moved from equator to pole.
BTW, something related. When on TV we see a depiction of a typical front moving from Perth to Melbourne in a day or two, does the parcel of air around the front also move that distance, or is the front more like a wave motion? Geoff.

bit chilly
Reply to  Geoff Sherrington
November 6, 2018 1:22 am

geoff, i lived in iran from 1975 until we left during the revolution. who were you flying with ? my grandfather and father both worked for iran air at the time,you may have met them, certainly my grandfather if you were in and around tehran airport regularly. he was in line to look after the concorde the shah had ordered that sadly was never needed.

michel
November 5, 2018 1:29 am

They said if we raise the level of CO2 in the atmosphere temperature will increase, with the critical limitation of ceteris paribus.

Yes, the critical point. The application of heat to a complex system does not necessarily result in a rise of temperature of some particular component of it.

Its certain that doubling CO2 ppm would raise the temperature of the surface atmosphere by 1C if nothing else changes in response to the doubling and the resultant heating.

However, in a complex and chaotic system it is entirely possible that further changes in response to the doubling will maintain the previous temperature. It is logically possible that raising CO2 ppm actually has no effect on long term global temperatures. The effect, if there is one, needs to be established and quantified independently of the argument that it has a heating effect.

The logical fallacy committed by most of the ‘just physics’ arguments for CAGW is to assume that this does not happen. To assume that the totality of changes caused by the heating will amplify it.

This is an entirely different point from the argument that CO2 doubling has a heating effect. It certainly does. But that does not mean that the planet warms as a result.

Two cars have the same capacity gas tank. Does that mean both go equally far on it? Certainly not, there are more variables than the energy content of the gas. You have to consider whether the two systems are comparable in relevant respects affecting fuel efficiency.

We apply heat to a pan filled with boiling water. Does that mean that the temperature of the water rises? Certainly not, it means that evaporation increases.

The issue is how the climate system as a whole works, how it reacts to forcing or to the removal of forcing. This is why Nic Lewis and Judith Curry’s work on the observational evidence for the magnitude of the effect of rises in CO2 are so important. This is why it is simply dishonest to argue, as many who know better unfortunately still do, from the physics of the CO2 absorption spectrum to a given magnitude of warming.

bit chilly
Reply to  michel
November 6, 2018 1:25 am

michel, that is my argument against cagw in a nutshell. until we know all the earth,atmospheric and oceanic responses to anthropogenic inputs we are just guessing at the possible outcomes.

Crispin in Waterloo
November 5, 2018 2:48 am

“…it was a period when the Catholic church dictated the western view of the world.”

Why we have to drag out this old saw each time we discuss science in the Middle Ages? Just because the fabulous ‘West’ sunk into ignorance in the Dark Ages doesn’t mean the rest of the world did too.

The MesoAmericans were well aware that the planets orbited the Sun and used their understanding to accurately predict solar and lunar eclipses. They had a system for making such calculations taught in their observatories. They back-calculated eclipses (for some unknown reason) back 200,000,000 years.

As for the relative ignorance of Europeans living in close proximity to the more advanced Islamic centres of learning, consider who the doctors were in the courts of every wealthy king in Europe. Where do you suppose words like ‘Abracadabra’ and ‘alchemy’ come from? Why do wizards, even in Hogwarts and Mickey Mouse movies wear long robes and conical hats with a crescent moon and stars?

We should avoid peddling the ignorance of Europe as the sum total of human understanding about life, the universe and everything.

The peak of Islamic civilisation was about 1350 and it was by then that it’s influence was well established in Europe, particularly in science and mathematics. It was the instructor and mentor of Thomas Aquinas who brought the texts of the great universities in Alexandria and Baghdad to European attention. Not Thomas, his instructor, a bookish and retiring sort called Magnus.

My brother used to teach a course on the history of Chinese technology – a subject which even today remains out of reach of most 2D and 3D thinkers.

Metal forgers in Liberia and and Swaziland were making stainless steel before the Europeans discovered it. When it comes to medicine, even now, the Western approach, for all its vaunted success, is outshone in certain cases by African and Chinese traditional medicine because Africans and Chinese (and others) think in 4D, not the 2D of bacteriocause and chemicure.

Technocure is not only the ‘medieval church teachings’ of the modern era, it interferes with the treatment of social ills and psychological pathologies. And now we have the simplistic doctrines of GHG’s and the advocacy of the Wisdom of Gaia simultaneously advertising the complete subjugation of humanity to the all-natural forces of nature, while schizophrenically claiming that humans can control the weather they way medieval witches did in Hamlet and Würzburg.

Well which is it? Are we finally in control of the weather through mystical computer models or are we subject to the 2D universe of ‘nature controls all and we are refuse this fact at our peril’?

What is remarkable is how little things change, save the faces and the coinage changing hands.

Reply to  Crispin in Waterloo
November 5, 2018 4:59 am

Like the Tuvalu 2 Dollar of QE II and Zeus ?
https://en.numista.com/catalogue/pieces68496.html

Zeus being the greek god who demanded massive population reduction , Pandora, after Prometheus gave them fire?

It is indeed remarkable.

John Tillman
Reply to  Crispin in Waterloo
November 5, 2018 12:06 pm

“Abracadabra” doesn’t come from Arabic, although some have suggested Hebrew or Aramaic. From whatever origin, it long predates Islam. The first known use of the magic word was in the didactic medical poem, “Liber Medicinalis”, by Emperor Caracalla’s tutor, Quintus Serenus Sammonicus (died AD 212).

Southern Africa has major chromium deposits, so stainless steel could be made there. I don’t know about West Africa. Stainless steel wasn’t developed in Europe and America until the late 19th and early 20th centuries.

Frank E James
Reply to  Crispin in Waterloo
November 8, 2018 4:20 pm

Islam peaked as an ideology around 1000 AD, when the gates of ijtihad, interpretation, were closed. Reason could not be used further, neither to understand theology nor the world. Allah was totally beyond reason, beyond justice, beyond morality, beyond understanding. Regularities in the natural order were simply ada, Allah’s habits. Using such regularities to develop theories about the natural world was shirk, blasphemy.

Contrary to the Dark Age nonsense, the Scholastics forged ahead with technological development long after Rome fell. Indeed, sociologist Rodney Stark has argued that, for the average European, Rome’s fall was a net benefit.

Gerald the Mole
November 5, 2018 5:04 am

Dr Ball, thank you for an excellent article.

To be somewhat pedantic it is quite correct to say that the sun goes round the earth if you so define it. Equally well you could say that the earth orbits Mars or any other point in space. Designers of sundials assume that the sun goes round the earth as the maths is much easier.

It is easy to find north using a watch. Tie it to a piece of string, whirl it round your head and let it go. It will go west! Explanation for non UK readers saying that it has gone west is a way of saying it is lost or broken.

Reply to  Gerald the Mole
November 5, 2018 5:12 am

Strange , in CA the watch went south, and sideways.

Gamecock
November 5, 2018 6:00 am

Thanks for the article, Dr Ball. I learned from it.

Back to the levity:

Gallup conducted a poll, asking if there was too much ignorance, and too much apathy.

The majority of the respondents said they didn’t know, and they didn’t care.

I’ll get my coat . . . .

Jim Whelan
November 5, 2018 12:23 pm

1. The best way to observe the curvature of the Earth is from a low perspective, not a high one. Stand on the edge of a body of water about 5 miles wide and look to the opposite shore. You can see the curvature as an obvious hill of water between you and the opposite shore. Step up a few feet and the hill disappears.

2. Please stop blaming “the Catholic Church” for everything it’s nonsense that the Church demanded this.

John Tillman
Reply to  Jim Whelan
November 5, 2018 5:31 pm

Tim’s assertion that the 3D view ended because the Church adopted the Ptolemaic system makes no sense. Ptolemy (c. AD 100 to c.  170) improved on the Aristotelian system. His view of the cosmos was just as 3D, if not more so, than his more ancient Greek predecessors.

Both systems envisage concentric spheres, with the earth at the center (slightly offset by Ptolemy’s “eccentric”), with the sun, moon and each planet riding on its own sphere (with epicycles) around the earth, with finally the sphere of the fixed stars moved by the last sphere, the Prime Mover. In Ptolemy’s system, each planet is moved by two spheres, its “deferent” and epicycle. He also introduced the equant, controlling planetary speed.

The 3D view wasn’t lost during the Dark Ages. Educated people then still knew that earth is spherical, to include the Catholic Anglo-Saxons and heretical Christian Visigoths. Before Copernicus and Galileo, however, Church doctrine was geocentric, since the Bible is clear on this point. Kepler was a Lutheran, but Luther also cited Joshua’s stopping the sun and moon to ridicule Copernicus.

Early Church Fathers were flat-earthers, because the Bible is also clear on this point. However, from Augustine onward, ie c. AD 400, the Church adopted the unbiblical spherical earth but adhered to its biblical central, immobile position relative to the sun, moon, planets and stars.

Frank E James
Reply to  John Tillman
November 8, 2018 4:23 pm

The Bible is not clear that the Earth is flat, any more than it clearly teaches it is 6,000 years old. To think so is to indulge in hyperliteralism of what is obviously not meant to be taken literally, just as we speak today about “sunset.”

Rick W.
November 6, 2018 6:04 pm

“The challenge in climate is somewhat similar to map making. That is, to take a globe (3-D) and display it on a flat surface (2-D). If you only want to focus on one issue like Great Circle routes (the shortest distance between two points) as with the Mercator projection, you can effectively ignore all other factors….”

Pardon me for a tiny little point, here … don’t you mean “rhumb lines,” not Great Circle routes?

Sorry, Dr. Ball, but as a fellow cartographer, I couldn’t resist.