Draw a straight line, and then continue it for the same length but deflected by an angle. If you continue doing this you will eventually return to roughly where you started, having drawn out an approximation to a circle. But what happens if you increase the angle of deflection by a fixed amount at each step? The curve will spiral in on itself as the deflection increases, and then spiral out when the deflection exceeds a half-turn. These spiral flourishes are called Euler spirals. [code]
Note to self
This movie means more to me than words can say
How I wish a night sky like this wouldn’t be so rare to see in the cities.
Gifs from Ocean Sky by Alex Cherney.
What is the most astounding fact you can share with us about the Universe?
Neil deGrasse Tyson, PhD: The most astounding fact… is the knowledge that the atoms that comprise life on Earth, the atoms that make up the human body, are traceable to the crucibles that cooked light elements into heavy elements in their core under extreme temperatures and pressures. These stars, the high mass ones among them went unstable in their later years they collapsed and then exploded scattering their enriched guts across the galaxy. Guts made of carbon, nitrogen, oxygen and all the fundamental ingredients of life itself. These ingredients become part of gas cloud that condense, collapse, form the next generation of solar systems… stars with orbiting planets, and those planets now have the ingredients for life itself.
So that when I look up at the night sky and I know that yes, we are part of this universe, we are in this universe, but perhaps more important than both of those facts is that the universe is in us.
When I reflect on that fact, I look up – many people feel small because they’re small and the universe is big – but I feel big, because my atoms came from those stars. There’s a level of connectivity. That’s really what you want in life, you want to feel connected, you want to feel relevant, you want to feel like a participant in the goings-on of activities and events around you. That’s precisely what we are, just by being alive…
The human brain is an amazing organ. It functions 24 hours a day from the day we are born and only stops when we are taking an exam or fall in love.