Everyday Musings

1,057 notes

asapscience:

via Reddit user cgibbard: “The first transformation is the classic hinged dissection of an equilateral triangle into a square popularised by Dudeney.
The Wallace-Bolyai-Gerwien theorem shows that any two polygons with equal area must admit a dissection into finitely many pieces where one is allowed to arbitrarily rotate and translate the pieces to go from one polygon to the other. The problem about whether a hinged dissection exists remained open until 2007. You can read the paper here, which presents a method which always works to find a hinged dissection.”

asapscience:

via Reddit user cgibbard: “The first transformation is the classic hinged dissection of an equilateral triangle into a square popularised by Dudeney.

The Wallace-Bolyai-Gerwien theorem shows that any two polygons with equal area must admit a dissection into finitely many pieces where one is allowed to arbitrarily rotate and translate the pieces to go from one polygon to the other. The problem about whether a hinged dissection exists remained open until 2007. You can read the paper here, which presents a method which always works to find a hinged dissection.”

4 notes

930club:

VOTD: Mapei, “Change”

Mapei is setting herself up to be the next chart topping, soulful pop queen…just you wait. Her newest lyric video for the triumphant single “Change” is pretty incredible. Imagine if the Humans of New York guy got all the people he has taken photos of together and made a music video. It’s kind of like that. Filmed all over NYC, the video features an astoundingly diverse cast of characters including dancers, artists, musicians, families, food service workers, chess players, the list keeps going. Each person holds up a piece of cardboard with lyrics written in black sharpie marker while Mapei’s booming vocals provide the pulsing soundtrack. The concept is simple and straightforward, but that’s what makes it so effective. In only four minutes, we get an accurate and bravely honest depiction of NYC and its inhabitants. “Change” is all about well, change, however the most resonant part comes in the bridge when Mapei repeats over and over, “You’re in control, you’ve got so much soul.” Seeing New Yorkers of all sorts and all backgrounds hold up signs with that theme of being able to control change is a quite a powerful image.

-Emily Hirsch