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twoshots
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03 Jan 2009, 9:23 pm

carturo222 wrote:

The only color that does not correspond to any true wavelength is magenta. Our brain creates it as a blend of red and blue when our retinas receive wavelengths of both colors. (It's the same phenomenon that happens when our retinas receive, for example, red and green, and we end up seeing yellow.) Thus the so-called cromatic circle can be closed, but in reality it's a spectrum stretching out to ultraviolet to one side and infrared to the other, and beyond. Magenta is a brain fabrication for a color that does not exist.

Wait... wouldn't a similar objection apply to any non spectral color?

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carturo222
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03 Jan 2009, 10:40 pm

Any other color would have a position on the light spectrum.

twoshots
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03 Jan 2009, 10:48 pm

carturo222 wrote:

Any other color would have a position on the light spectrum.

That's not true. e.g.

wikipedia wrote:

Among some of the colors that are not spectral colors are:

* Grayscale colors, such as White, Silver, Gray, and Black
* Any color obtained by mixing a grayscale color and a spectral color, such as brown - mixture of yellow and black obtained contrast.
* Purple (similarly, magenta), which is a mixture of Blue and red

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yesplease
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04 Jan 2009, 1:09 am

lau wrote:

So. To start with, there are an infinite number of "colours".

I'll assume for now that the continuum hypothesis is true, and that the aleph numbers and the beth numbers are the same.

Primarily, you may be thinking of colours as single frequencies from the spectrum, when there are aleph one of them. Not countably infinite, even, but transfinite.

How is that possible given the Planck constant?

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04 Jan 2009, 3:04 am

yesplease wrote:

lau wrote:

How is that possible given the Planck constant?

If we consider only monochromatic light then it is still possible to have an infinite number of colours, we can get these just by making a small change to the wavelength of the light. Planck's constant does not need to be involved.

I know that the atomic spectrum of hydrogen has a series of lines which are defined by the energies of the atomic orbitals, but blackbody radiation does not have lines. If we were to use a hot black object as the source of light and a "perfect" diffraction grating we could in the ideal world have any wavelength we like of monochromatic light.

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twoshots
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04 Jan 2009, 11:41 pm

lau wrote:

The infinity of real colours is the number of functions of a real variable, which I believe corresponds to beth two, which may be aleph two, i.e the second transfinite number.

I'm curious, how would you show that? (I'm REALLY bad at combinatorics...)

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roadracer
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06 Jan 2009, 2:41 am

Yes, RGB are the primary colors that the brain sees, but for artists red, yellow, blue can also be correct, so that is actually not wrong. Because of the different in chemicals and dyes used for painting and printing when mixing these together they don't always follow the RGB primary color profile. In printing it is some times CMYK. So RGB, CMYK, RYB, ect. are all primary colors and the correct answer. I believe it is RGB are additive primaries, and the other I mentioned are subtractive primaries.

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06 Jan 2009, 4:17 am

This man entered Harvard at the age of 16 and earned his PhD by 25. He was brilliant and underachieving, failing multiple classes despite being able to solve problems no one else could. But he made a name for himself outside of math...

google boundary functions to figure out who it is.

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06 Jan 2009, 4:53 am

Ted Kaczynski?

Shiggily
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06 Jan 2009, 5:10 am

Postperson wrote:

Ted Kaczynski?

yup.

Next one.

This brilliant mathematician published all his work from within a psychiatric hospital, for murdering his family after dinner. His reason? reportedly... logic... he felt it was necessary to rid his family of mental disorders.

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06 Jan 2009, 6:12 am

...but what are boundary functions anyway, in a laypersons terms. I'm physics dyslexic.

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06 Jan 2009, 8:14 am

Are you thinking of a french man called André Bloch ? I found his name within a minute using a yahoo search using the terms

mathematician, murder and "psychiatric hospital"

By the way what is so nerdy about the Unibomber and André Bloch ?

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Shiggily
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06 Jan 2009, 9:23 am

Woodpecker wrote:

nerdy is random tidbits of uncommon information (in the Unabomber's case it was less that he was a mathematician and more how smart/underachieving he was- at least for me it is interesting)

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emroidious
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07 Jan 2009, 3:55 pm

Do nerdy pickup lines count as "talking nerdy"?

yesplease
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07 Jan 2009, 6:48 pm

Woodpecker wrote:

yesplease wrote:

lau wrote:

How is that possible given the Planck constant?

Oh, I gotcha, by defining colour as what seems to be referred to as hue we can get away w/ that limit to size. Of course the receiving mechanism would also have to lack limits wrt resolution, for use to see uncountably many colours/hues. I'm pretty sure we would run into trouble on that end too, not that it isn't interesting as a though experiment in the first place.

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08 Jan 2009, 2:44 pm

Hears some 'nerdy' numbers:

One eighty-first = 0.012345679012345679…
One twenty-third = 0.0434782608695652173913043478...
One twenty-first = 0.047619047619...
One seventh = 0.142 857142857...
Gauss-Kuzmin-Wirsing constant = 0.3036630029...
Euler-Mascheroni constant: γ = 0.577215664901532860606512090082...
Golden ratio conjugate, reciprocal of and one less than the golden ratio = 0.618033988749894848204586834366...
Laplace limit: ε= 0.6627434193...
Twelfth root of two = 1.059463094359295264561825294946...
China constant = 1.1865691104...
Cube root of two = 1.259921049894873164767210607278...
Plastic number = 1.324717957244746025960908854478...
Square root of two a.k.a. Pythagoras' constant = 1.414213562373095048801688724210...
Golden ratio = 1.618033988749894848204586834366...
Square root of three a.k.a. the measure of the fish = 1.732050807568877193176604123437...
Square root of five = 2.236067977499789805051477742381...
Silver ratio = 2.414213562373095048801688724210...
Square root of six = 2.449489742783177881335632264381...
Feigenbaum constant α = 2.5029...
Square root of seven = 2.645751311064590716171096573817...
China's constant = 2.685452001...
Euler's number: e = 2.718281828459045235360287471353...
Square root of eight = 2.828427124746190290949243717478...
Pi: π = 3.141592653589793238462643383279...
Square root of ten = 3.162277660168379522787063251599...
Square root of eleven = 3.316624790355399849114932736671…
Square root of twelve = 3.464101615137754587054892683012...
Feigenbaum constant δ = 4.6692...

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