It had to be "the shape of a hat" -- i. e. with a flat mirroring surface on the bottom side, and with a gas container on the top side.

e.g. with a special, light harness, tied to three distant points on the surface.

I guess that simply moving around/rotating around the vertical axis might be quite enough.

Fun! It would be mostly for fun anyway.

Why not a ballon, of the size of a giant hat, make of a tinfoil? If would need to be tilted somewhat, and turn itself towards the sun -- easy in the case of a ballon. Would not it be much cheaper? Of course, tinfoil does not have the directionality of a glass mirror, but make the hat big enough and it would not be a problem, and even be a feature -- the more ambient light would not decrease the iris size so much, and thus a human would perceive the lighted area as even more bright.

http://www.universetoday.com/30538/was-mars-magnetic-field-blasted-away/

What is the protection at 180E60S, if compared to Earth?

This is not only about fitting a random formula. A set of such formulas would give more information on the rule in question:

• is this just an exponential fit?
• or is this an exponential fit i_1 + i_2 * i_3^m, that tends to contain small integers i_j?
• or does it tend to be exactly an exponential fit a = 4 + 3 * 2^m?

In particular, is there some known planetary system, where the rule is expressed using low integers, like 4 + 3 * 2^m in the case of Solar System, and not just by any exponential fit?

I wonder, if the inner planets of some other systems follow that hypothesis as closely as in the case of the Solar System. Is there any data already about that?

They say, that their chocolate is going to be good even if it does not melt, as opposed to a "normal chocolate". As chocolate in general does not melt easily on very cold days and thus has taste problems, then perhaps their chocolate will actually taste better in the winter.

...is when I try to eat a frozen chocolate on a winter day. It tastes like goo. Can it be, because it does not melt?