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Rated: 18+ · Book · Personal · #1196512
Not for the faint of art.
Complex Numbers

A complex number is expressed in the standard form a + bi, where a and b are real numbers and i is defined by i^2 = -1 (that is, i is the square root of -1). For example, 3 + 2i is a complex number.

The bi term is often referred to as an imaginary number (though this may be misleading, as it is no more "imaginary" than the symbolic abstractions we know as the "real" numbers). Thus, every complex number has a real part, a, and an imaginary part, bi.

Complex numbers are often represented on a graph known as the "complex plane," where the horizontal axis represents the infinity of real numbers, and the vertical axis represents the infinity of imaginary numbers. Thus, each complex number has a unique representation on the complex plane: some closer to real; others, more imaginary. If a = b, the number is equal parts real and imaginary.

Very simple transformations applied to numbers in the complex plane can lead to fractal structures of enormous intricacy and astonishing beauty.




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November 19, 2024 at 8:09am
November 19, 2024 at 8:09am
#1080168
I'll admit it. The only reason I'm sharing this Atlas Obscura article is that I'm actually 12 years old.

    Penistone Paramount Cinema  Open in new Window.
Penistone, England
This century-old, single-screen cinema still puts a 1937 Compton organ to good use.


Always good to read about an organ being put to good use.

Along Shrewsbury Road in Penistone, England, an unassuming single-screen theater keeps cinematic nostalgia alive.

There's something to be said about having a single screen rather than dividing your attentions between a dozen.

Inside, the star of the show is the Compton organ. The instrument was originally built by the John Compton Organ Co. in 1937. It was first installed in Birminghamā€™s Paramount Theatre, where it entertained audiences for over 30 years. In 1988, it was bought by a private cinema owner and installed in the Regal Cinema at Oswestry in Shropshire.

I suppose I'm disappointed that it didn't come from Scunthorpe.

After four years at Oswestry, it was brought to the Penistone Paramount Cinema by organist Kevin Grunill. The instrument was restored in 2000 and again in 2013.

Only 13 years between restorations, for such an old organ?

Yeah, that's all I have today. I'm spent.


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