« When all I need is you All I need is you On the surface, you were right there Yes, you were right there Tell me something I don’t know Tell me something I haven’t heard before »

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« When all I need is you All I need is you On the surface, you were right there Yes, you were right there Tell me something I don’t know Tell me something I haven’t heard before »
« I may not always be there with you, but I will always be there for you »
cinematic parallels (x) (x)
« And he who came after him ruled evilly »
- Oscar Wilde, the star-child
Mathematical Spirals
According to Wikipedia, a spiral is a curve which emanates from a central point, getting progressively farther away as it revolves around the point (similar to helices [plural for helix!] which are three-dimensional). Pictured above are some of the most important spirals of mathematics.
Logarithmic Spiral: Equation: r=ae^bθ. I must admit that these are my favorite! Logarithmic spirals are self-similar, basically meaning that the spiral maintains the same shape even as it grows. There are many examples of approximate logarithmic spirals in nature: the spiral arms of galaxies, the shape of nautilus shells, the approach of an insect to a light source, and more. Additionally, the awesome Mandelbrot set features some logarithmic spirals. Fun fact: the Fibonacci spiral is an approximation of the Golden spiral which is only a special case of the Logarithmic spiral.
Fermat’s Spiral: Equation: r= ±θ^(½). This is a type of Archimedean spiral and is also known as the parabolic spiral. Fermat’s spiral plays a role in disk phyllotaxis (the arrangement of leaves in a plant system).
Archimedean Spiral: Equation: r=a+bθ. The Archimedean spiral has the property that the distance between each successive turning of the spiral remains constant. This kind of spiral can have two arms (like in the Fermat’s spiral image), but pictured above is the one-armed version.
Hyperbolic Spiral: Equation: r=a/θ. It is also know as the reciprocal spiral and is the opposite of an Archimedian spiral. It begins at an infinite distance from the pole in the center (for θ starting from zero r = a/θ starts from infinity), and it winds faster and faster around as it approaches the pole; the distance from any point to the pole, following the curve, is infinite.
“In the darkness, two shadows, reaching through the hopeless, heavy dusk. Their hands meet, and light spills in a flood like a hundred golden urns pouring out of the sun.” - The Song of Achilles Miller, Madeline
21:21
various quotes from: The Song of Achilles
Escape velocities for every planet in the solar system
Jupiter: YEET
“I dream. Sometimes I think that's the only right thing to do „
- Haruki Murakami, Sputnik Sweetheart
“ Why do people have to be this lonely? What's the point of it all? Millions of people in this world, all of them yearning, looking to others to satisfy them, yet isolating themselves. Why? Was the earth put here just to nourish human loneliness? „
- Haruki Murakami, Sputnik Sweetheart
I was younger then, take me back to when I Found my heart and broke it here Made friends and lost them through the years And I've not seen the roaring fields in so long, I know I've grown But I can't wait to go home I'm on my way Driving at ninety down those country lanes Singing to "Tiny Dancer" And I miss the way you make me feel, and it's real We watched the sunset over the castle on the hill -castle on the hill, Ed Sheeran
—What do you miss most about Evak?