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 |    Not for the faint of art. |
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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. ![Merit Badge in Quill Award
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Congratulations on winning an honorable mention for Best Blog at the 2018 Quill Awards for [Link To Item #1196512] . *^*Smile*^* This award was sponsored by the blogging consortium including [Link To Item #30dbc] , [Link To Item #blogcity] , [Link To Item #bcof] and [Link To Item #1953629] . For more details, see [Link To Item #quills] .](https://images.Writing.Com/imgs/writing.com/writers/badges/type-Blogging-2180.gif) ![Merit Badge in Highly Recommended
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I highly recommend your blog.](https://images.Writing.Com/imgs/writing.com/writers/badges/Kudos-Highly_Recommended.gif) ![Merit Badge in Opinion
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| I might have overindulged earlier, which is why I'm running a little late today. Just as well that this one doesn't require a lot of brain power, because I'm pretty short on that right now. I simply found this story interesting. It's related to civil engineering, my profession, but even without that I just think it's cool. “While studying these fountains early on, I realized that they were unique, but neglected and not really spoken of,” he says. “The city seemed to have forgotten them.” It pained him when he read about the demolition of pyaaus, or water fountains, and made it his mission to protect as many as possible. While the person quoted here, Rahul Chemburkar, is an architect and not a civil engineer, the professions are related. Architects get to be more artistic, though. Water supply (along with waste management) is one of the most important aspects of being able to live in cities. “It is our moral duty to protect this part of the city’s heritage,” he says. “And if we could revive this idea [of public drinking fountains], it would be in contrast to the plastic bottles we drink from.” Access to clean water is a basic human need. It's harder in cities. What I like about this article is that in Mumbai, it's more than just a public works project; it's part of the city's character. This is where you'll have to click on the link to actually see pictures and drawings of the fountains in question. They are marvels of civic art. The Keshavji Nayak pyaau, inaugurated in 1876, looks nothing like a public drinking fountain—it resembles a pavilion or shrine, with red sandstone pilasters, a cupola covered in carved peacocks, and statues of bulls at the entrance, a feature seen in many Hindu temples. For instance, there's a pretty cool before-and-after pic of that one. Beyond restoration, Chemburkar conducts frequent walks and lectures, via the Mumbai Pyaau Project, and sketches postcards of the fountains. I went on a walk last March, before the pandemic, and, along with architecture students, tourists, curious locals, learned about structures that I would have never noticed. The walk also nudged the group to contemplate today’s water-supply challenges. And of course, there's a lot more to water access than just having fountains available. Just ask the Southwest US right now. But I can't be arsed to get into the politics of it in my current condition, so I'll just leave this here as something cool to share. |
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