Jan 242009
 

As has been long known, the scientific method has been around for longer than the term “scientific method.”

Aristarchus of Samos worked out the heliocentricity of the solar system.
Eratosthenes of Cyrene calculated the diameter of the Earth to remarkable accuracy.

The Antikythera mechanism was built around 100 BC, and demonstrated high levels of knowledge both of astronomy and mechanics… knowledge that would not be regained until the time of da Vinci.

Heron of Alexandria invented many of the principles of hydraulics – and even jet propulsion – still in use today.

And then there’s this:
A Prayer for Archimedes

An intensive research effort over the last nine years has led to the decoding of much of the almost-obliterated Greek text. The results were more revolutionary than anyone had expected. The researchers have discovered that Archimedes was working out principles that, centuries later, would form the heart of calculus and that he had a more sophisticated understanding of the concept of infinity than anyone had realized.

Archimedes wrote The Method almost two thousand years before Isaac Newton and Gottfried Wilhelm von Leibniz developed calculus in the 1700s. Reviel Netz, an historian of mathematics at Stanford University who transcribed the text, says that the examination of Archimedes’ work has revealed “a new twist on the entire trajectory of Western mathematics.”

In The Method, Archimedes was working out a way to compute the areas and volumes of objects with curved surfaces, which was also one of the problems that motivated Newton and Leibniz. Ancient mathematicians had long struggled to “square the circle” by calculating its exact area. That problem turned out to be impossible using only a straightedge and compass, the only tools the ancient Greeks allowed themselves. Nevertheless, Archimedes worked out ways of computing the areas of many other curved regions.

So, Archimedes had worked out the basics of calculus more than 2,000 years ago. As much as I despised calculus in college, and in the years since have found precisely no use for it, it’s nevertheless tragically true that calculus is a requirement for much of the modern world. The mathematics used to understand and utilize the forces of nature would be virtually impossible without calculus. So, if there was this spur to science so long ago, what the hell happened?

Mysticism, that’s what frakin’ happened.

What happened to make Archimedes’ original work vanish for centuries is unclear… it just disappeared. But some hint of the disdain with which learning about the natural world was held can be found in the description of the history of the actual book:

Archimedes wrote his manuscript on a papyrus scroll 2,200 years ago. At an unknown later time, someone copied the text from papyrus to animal-skin parchment. Then, 700 years ago, a monk needed parchment for a new prayer book. He pulled the copy of Archimedes’ book off the shelf, cut the pages in half, rotated them 90 degrees, and scraped the surface to remove the ink, creating a palimpsest—fresh writing material made by clearing away older text. Then he wrote his prayers on the nearly-clean pages.

With modern science, we can recover some of what was lost. But the bulk of what has been lost will never be recovered. Had the traditions of inquiry that the Greek philospher-scientists began not died out due to the power of the mystics – the Pythagoreans, the Christians and the Muslims in particular – Odin only knows where we would be today. Coupling Herons understanding of steam power with the unknown Antikythera mechanism builders knowledge of mechanics, it is not impossible that practical steam engines could have been built 1900 years ago. Moving the Industrial Revolution up by 1500 years could mean that today, the big political debate would be whether or not to fund the Constellation mission to the Andromeda Galaxy.

 Posted by at 11:17 pm
Jan 242009
 

In 1978, Rockwell produced the final report on their “Innovative Strategic Aircraft Design Study” for the USAF, which Boeing and Lockheed also worked on (separately). Rockwell’s study included seveal unconventional bomber configurations, intended to fulfill different roles… they had a design for minimum cost, a design for supersonic penetration of enemy airspace, a spanloader for minimum weight, a spanloader with a built-in laser weapons system for defense against missiles and aircraft… and a delta-winged spanloader concept for maximum stealthiness.

The stealthy design, the D645-4A, largely looks pretty good in that respect, except for the vertical stabilizers; the design would do better with canted stabilizers or, better yet, no stabilizers at all.

deltaspanloader.jpg

 Posted by at 10:00 pm
Jan 232009
 

Lots of people have Hope for Change and believe that an attitude of Yes We Can is all that’s really needed for the future to become a bright sunshiny day filled with daisies and puppies and low-cost, high quality smack.
History, however, is replete with examples of grand visions that fell flat because of either an insufficient understanding of the complexity of the issues… or because of con jobs. Take, for example, the Space Shuttle. While it remains a remarkable example of engineering, it is not what it was sold as. It was supposed to be dirt cheap ($25 million per flight in early-’70’s money), and easy to maintain. Two weeks sitting in a hangars, with some greasemonkeys tinking with it, and it’ll be good to go. No sweat, no problem. See how easy it will be:shuttle-vision.jpg

But the reality turned out to be just a little more costly, complicated and time consuming. Instead of weeks, months to years. Instead of a basic facility, a complex single-function facility. Instead of a few techs, a standing army. Instead of low cost, half a billion dollars a pop.
shuttle-reality.jpg

This sort of thing should be a lesson for those selling massive government bailouts… or indeed any government program whatsoever. But somehow these lessons never sink in.

 Posted by at 3:09 pm
Jan 232009
 

Until the freezing rain today, there’s been this unusual (from my experience, anyway) frost all over everywhere. Where the snow covered ground has been undisturbed, there has been a bed of flat ice crystals , half and inch to an inch in diameter, like giant snowflakes. It looked like a bed of razorblades or broken glass, but the crystals were extremely fragile.

img_7575.jpg

img_7622.jpg

img_7625a.jpg
img_7619.jpg img_7625.jpg

 Posted by at 1:18 am
Jan 222009
 

In issue V2N3 of APR – which is a ways away yet – will be Part 1 of two parts on the Bell D-188 VTOL fighter (commonly and incorrectly referred to as the “XF-109”).

Here’s some art showing the preceeding designs… the Bell D-139 with “Vertiburners” for VTOL thrust, and the initial D-188 which replaced the Vertiburners with conventional lift jets.

d-139-art1.jpg

d-188-art.jpg

 Posted by at 4:41 am