A] Have you seen any references to the "Golden Ration [1:6 ~1:61803399]" as seen in Vitruvius man by Leonardo Devinci?
Well first and foremost it is a ratio "pleasing to the eye" to human beings across all kinds of cutures and histories (not just Western from Plato to Picasso). Second of all it is a kind new replacement or search strategy used in some esoteric financial (and other risk) applications; however, this use is based on the number defined in the first use.
Why is it pleasing? THe mathematical key seems to be that it "fits" so very many forms from sunflowers to nautali to galaxies. Like pi and e, it is manifested a lot in nature.
b] Air-Borne Dust:
Is there a novelty interest in exposing air-borne dust for display purposes only? [/QUOTE]
Depends, it makes an iteresting first-year physics "proof" that atoms exist (see
Einstein's Explanation of Brownian Motion, where the big blue dot is the dust particle and the red dots molecules in the air).
What conditions must exist so as to view all the floating dust in a room? [/QUOTE]
Well, (1) dust, (2) a dark background (like the wall of an unlit room), and (3) a light source. Try closing your curtains and blinds (or putting tin foil over windows or going into closet) with a pinch of graphite (buy as a spray can lubricant or wear down a pencil, this is the lead). Turn on a penlight (torch) and blow the dust into the air. You will see it
Can a special Light fixture [maybe used in combination with an air spray colorant?] be made to especially highlight all the air-borne dust in a room? [/QUOTE]
An "Ott-light" helps. It's spectral output is very close to the suns. Flourescent bulbs tend to mitigate the effect. should not need colorant. Take a pitch from your vaccum bag next time you empty it.
What are the smallest lifeforms & what is the quantity of these lifeforms in the floating dust in a room? [/QUOTE]
Phew, depends on what you mean by living. Usually we mean carbon-based things that take in nutrients, excrete, and procreate. By that definition probably dust mites. They are about the size of eyelash mites. Pull out an eyelash, look at root. There should be about a thousand on the base (you will not see them). So there could be thousands of dust mites per cubic centimeter (cc). Now some people think pollen and viruses are "alive", for them it is millions per cc (way too small to be seen, prions, a kind of virus, are the smallest, I think).
c] What are the rule-of-thumb-Parameters to position one's own POV so as to view to a rainbow?[/QUOTE]
Depends on where you are. What you have to be (remember this is realtive) is 42 degrees from the source of light (ususally the sun). So in a sprinkle or mist (with sunlight still, this is why places like the US Southwest or Turkey are go good) stand with your back to the sun and look off at about half-way to you shoulder. It is there or it is not. We see them at a distance under this same criteria, the sun is 42 degrees from the arc of the raind bow. If you want trippy, go under a high waterfall and look up at noon... in the right position (that is if sunlight is showing on the mist) you can see a 360 degree rainbow! I have done that in Yosemite when I was a kid and in the Hawaiian islands. Too Cool.
Pax et amore omnia vincunt!