Self-Help for the Future

The brachistochrone
This animation is about one of the most significant problems in the history of mathematics: the brachistochrone challenge.
If a ball is to roll down a ramp which connects two points, what must be the shape of the ramp’s curve be, such that the descent time is a minimum?
Intuition says that it should be a straight line. That would minimize the distance, but the minimum time happens when the ramp curve is the one shown: a cycloid.
Johann Bernoulli posed the problem to the mathematicians of Europe in 1696, and ultimately, several found the solution. However, a new branch of mathematics, calculus of variations, had to be invented to deal with such problems. Today, calculus of variations is vital in quantum mechanics and other fields.

The brachistochrone

This animation is about one of the most significant problems in the history of mathematics: the brachistochrone challenge.

If a ball is to roll down a ramp which connects two points, what must be the shape of the ramp’s curve be, such that the descent time is a minimum?

Intuition says that it should be a straight line. That would minimize the distance, but the minimum time happens when the ramp curve is the one shown: a cycloid.

Johann Bernoulli posed the problem to the mathematicians of Europe in 1696, and ultimately, several found the solution. However, a new branch of mathematics, calculus of variations, had to be invented to deal with such problems. Today, calculus of variations is vital in quantum mechanics and other fields.

1 day agovisualizingmathsaulofortz 4,229 notes
“Nothing is more natural than mutual misunderstanding; the contrary is always surprising. I believe that one never agrees on anything except by mistake, and that all harmony among human beings is the happy fruit of an error.”
― Paul Valéry, The Art of Poetry
- (via lapitiedangereuse)
1 day agonotationallapitiedangereuse 27 notes

digg:

Azuma Makoto sends flowers to space in his latest installation piece, Exobiotanica.

4 days agorachelbinxdigg 20,877 notes

2headedsnake:

Leif Podhajsky

5 days agoleifpodhajskyleifpodhajsky.com 869 notes

seanbonner:

brucesterling:

designculturemind:

Tangible Media

MIT’s Tangible Media is coming along nicely,

"Almost like a table of living clay, the inFORM is a surface that three-dimensionally changes shape, allowing users to not only interact with digital content in meatspace, but even hold hands with a person hundreds of miles away. And that’s only the beginning."

*The tie-in with the projection-mapping is especially good.

I’ve played with this in person, it’s fucking awesome.

1 week agomostlysignssomeportentsyoutube.com 123,292 notes
joereorda:

JENNY SAVILLE Odalisque, 2012–14 Oil and charcoal on canvas 85 7/16 x 93 1/8 inches (217 x 236.5 cm) © Jenny Saville
Photo by Mike Bruce

joereorda:

JENNY SAVILLE
Odalisque, 2012–14
Oil and charcoal on canvas
85 7/16 x 93 1/8 inches (217 x 236.5 cm)
© Jenny Saville

Photo by Mike Bruce

1 week agoblastedheathjoereorda 131 notes
eranhill:

Experimenting with Ori Toor, more to come.

eranhill:

Experimenting with Ori Toor, more to come.

1 week agoiamteceranhill 5,482 notes
toparkornottopark:

Today’s post is brought to you by Jenika Cuadra from Los Angeles who submitted this parking sign right by her gym. Jenika: Took me at least 2 minutes to figure out if it was ok to park here.Me: Hm…does this mean you can park here for free between 6pm and 10pm?Jenika: I don’t know WHAT it means, that’s the problem! But, yes, it seems as though that’s what it’s indicating. It’s free all the time, no meters, but for the day hours you can only be there for an hour.

@toparknottopark If this is a parking meter zone, no other restrictions : Yes, the meter is NOT enforced 6AM-8AM, 6PM-10PM.
— LADOT (@MobilityMaven)
July 7, 2014
I’ll be sending a new sign kit for Jenika to post below this one.

toparkornottopark:

Today’s post is brought to you by Jenika Cuadra from Los Angeles who submitted this parking sign right by her gym.

Jenika: Took me at least 2 minutes to figure out if it was ok to park here.
Me: Hm…does this mean you can park here for free between 6pm and 10pm?
Jenika: I don’t know WHAT it means, that’s the problem! But, yes, it seems as though that’s what it’s indicating. It’s free all the time, no meters, but for the day hours you can only be there for an hour.

I’ll be sending a new sign kit for Jenika to post below this one.

1 week agogarychoutoparkornottopark 4 notes

cross-connect:

Cross Connect Featured Curator: DearMirah [dear-mirah.tumblr.com]

1. Kim Westfall, Tunnel (2013). Cut-out. 

2. Deborah BrownSlag (2013). Oil on canvas.

Deborah Brown’s recent paintings are inspired by Bushwick, Brooklyn, the neighborhood where she has had a studio since 2006. The work takes as its starting point the industrial landscape of car salvage lots, scrap metal yards and fabrication facilities on the periphery of the glittery spires of Manhattan (x). 

4. Alex BeckUntitled (2014). Acrylic. 

Very well known by art lovers on Tumblr, Alex Beck is a painter-illustrator originated in D.C. His use of large paint strokes illustrates vivid landscape scenes, and colorful human experiences. 

1 week agocross-connect 122 notes
blastedheath:

Alex Brown (American, b. 1966), City, 1997. Oil on canvas, 48 x 46 in.

blastedheath:

Alex Brown (American, b. 1966), City, 1997. Oil on canvas, 48 x 46 in.

1 week agoblastedheath 88 notes
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