12X Spiral
The theory is that numbers are self-organized around the smallest, most highly composite number, 12. The number 12 and many of its multiples (24, 36, 48, 60, etc.) are HCNs: highly composite numbers (with lots of divisors), which are extremely useful for measuring and proportions. Why are there 12 eggs in a carton, 12 inches in a foot, 12 months in a year, 24 hours in a day, 360 degrees in a circle, 60 seconds in minute? Because highly composite numbers can be divided evenly in many ways. For...Building a spiral around a clock, with 12-segments in the rotation, puts multiples of 3 at {3,6,9,12}, multiples of at {4,8,12}, multiples of 2 at {2,4,6,8,10,12}, and primes at {1,5,7,11}.
A City on Mercury Must Stay on the Dark Side
Terminator rolls around Mercury just like its sunwalkers, moving at the speed of the planet’s rotation, gliding over twenty gigantic elevated tracks, which together hold aloft and push west a town quite a bit bigger than Venice. The twenty tracks run around Mercury like a narrow wedding band, keeping near the forty-fifth latitude south, but with wide detours to south and north to avoid the worst of the planet’s long escarpments. The city moves at an average of five kilometers an hour. The...It moves on tracks that push it along from the heat expansion of the rising sun.
Pendulum Moves East to West
The observations, so numerous and so important, of the pendulum as object are especially relevant to the length of its oscillations. Those that I propose to make known to the [Paris] Academy [of Sciences] are principally addressed to the direction of the plane of its oscillation, which, moving gradually from east to west, provides evidence to the senses of the diurnal movement of the terrestrial globe.Demonstrating the rotation of the Earth.
St. Augustine on Christian Explanations for Origins
It not infrequently happens that something about the earth, about the sky, about other elements of this world, about the motion and rotation or even the magnitude and distances of the stars, about definite eclipses of the sun and moon, about the passage of years and seasons, about the nature of animals, of fruits, of stones, and of other such things, may be known with the greatest certainty by reasoning or by experience, even by one who is not a Christian. It is too disgraceful and ruinous, t...Remarkably insightful statement from 426 AD about how Christians look foolish when they try to apply the literal interpretation of Genesis to the natural world.
The Creator Put the Sun in the Center of the Universe
Copernicus, who rightly did condemn This eldest systeme, form'd a wiser scheme; In which he leaves the Sun at Rest, and rolls The Orb Terrestial on its proper Poles; Which makes the Night and Day by this Career, And by its slow and crooked Course the Year. The famous Dane, who oft the Modern guides, To Earth and Sun their Provinces divides: The Earth's Rotation makes the Night and Day, The Sun revolving through th'Eccliptic Way Effects the various seasons of the Year, Which in their Turn for...Because this makes more sense according to Richard Blackmore... Little did he know the Sun would soon be ousted as the center.
Focus on Common Things
And first, for those things which seem common. Let men bear in mind that hitherto they have been accustomed to do no more than refer and adapt the causes of things which rarely happen to such as happen frequently, while of those which happen frequently they never ask the cause, but take them as they are for granted. And therefore they do not investigate the causes of weight, of the rotation of heavenly bodies, of heat, cold, light, hardness, softness, rarity, density, liquidity, solidity, ani...We overlook the common in scientific inquiry, but it is in the common occurrences that the laws of nature are to be found.
Programming as the Fifth Discipline
Seibel: You mention four disciplines: music, graphics, mathematics, and text those are about as old as humanity. Clearly there are powerful ideas there that are independent of computers—the computer just provides a way to explore them that might be hard without the computer. Is there also a set of interesting, powerful ideas inherent in the computer? Is programming or computer science another deep discipline—a fifth area we can only do we have computers? Ingalls: Yes, I think that's wha...Dan Ingalls sees computer programming taught along with math, music, graphics and text, with computers bringing the other four together within it.