Sunset colors reflecting in a pond on top of Grey Rock Mountain, Colorado.
Many Different Ways of Obtaining an Ellipse
In mathematics, an ellipse is a curve on a plane surrounding two focal points such that a straight line drawn from one of the focal points to any point on the curve and then back to the other focal point has the same length for every point on the curve. As such, it is a generalization of a circle which is a special type of an ellipse that has both focal points at the same location. The shape of an ellipse (how ‘elongated’ it is) is represented by its eccentricity which for an ellipse can be any number from 0 (the limiting case of a circle) to arbitrarily close to but less than 1.
There are many different ways of forming an ellipse. Above are a few examples!
- An animation of the Trammel of Archimides.
- An animation of Van Schooten’s Ellipse.
- An ellipse as a special case of a hypotrochoid.
- Matt Henderson’s animation of a curve surrounding two foci.
Can you think of other ways of forming an ellipse (there’s a really obvious method that isn’t listed above…)?
The Colours Fade
Illustrative interpretation of the Superb Starling.
nani was NINETEEN and such a fucking badass who was so protective of lilo and just ROLLED with aliens being a thing towards the end of the movie. #1 Disney relative of all time.
I have honestly been waiting AGES for the right gifset to express the wonderful perfection that is Nani. She is not only protective of Lilo, she respects the way Lilo’s imagination and quirkiness works.
Pudge the fish got a peanut butter sandwich every Thursday. Nani does not argue the logic of feeding him, only suggests an alternative sandwich when they are out of peanut butter. Lilo was allowed to take as many photos of whatever mundane or odd subjects as she wanted and Nani would get them developed. Nani recognized what were important habits for Lilo.
When Lilo asks for a pet lobster, Nani does not tell her that lobsters are not pets. She tells her, “We don’t have a lobster door, we have a dog door.” She makes sure the woman at the pound does not tell Lilo that “Stitch is not a real name”.
NANI SPENDS THE ENTIRE MOVIE MAKING SURE THAT LILO NEVER FEELS LIKE HER IDEAS ARE WRONG.
The only time we truly see Nani get angry with Lilo is when she is scared of Lilo being taken away. Nani spends the entire movie stressed out over taking care of her sister, trying to find a job, trying to make sure her sister has a friend, and yet she is always willing to put that extra effort, over and over again, to make sure that Lilo always believes that anything is possible.