Happy Valentine's Day

https://www.google.com/search?client=ubuntu&channel=fs&q=5+%2B+(-sqrt(1-x%5E2-(y-abs(x))%5E2))*cos(30*((1-x%5E2-(y-abs(x))%5E2)))%2C+x+is+from+-1+to+1%2C+y+is+from+-1+to+1.5%2C+z+is+from+1+to+6&ie=utf-8&oe=utf-8

by valuegram • 13 years ago

191 24 13 years ago

google.com

treycopeland• 13 years ago

well done sir. well done.

scoot• 13 years ago

The OP din't claim to have created this (although arguably it's implied by it's posting without comment). Rather, that's just one of quite a number of such functions posted here before. I don't know their origin.

So well done for remembering it, and reposting it on an appropriate day; or more likely someone else remembered, and this is just a cross-post of a cross-post of a blog of a re-post. But well done anyway.

arjn• 13 years ago

heh, very neat. You can also play around with the parameters and equation of the graph.

Check out my "tan" heart : 5 + (-sqrt(1-x^2-(y-abs(x))^2))tan(45((1-x^2-(y-abs(x))^2))), x is from -1 to 1, y is from -1 to 1.5, z is from 1 to 6

crusso• 13 years ago

Google scares me sometimes.

snogglethorpe• 13 years ago

Me too. But in a good way ... :]

timerickson3• 13 years ago

> 3D charts require a web browser and system that support WebGL.

I guess I'm not getting a Valentine this year.

arasmussen• 13 years ago

What browser/OS/gpu are you using?

timerickson3• 13 years ago

Latest Safari on OS X 10.8.2 in a Macbook Pro w/ Retina

Mithrandir• 13 years ago

Here's what it looks like: http://i.imgur.com/xnvaTiK.png

jacquesm• 13 years ago

http://mathprospects.com/node/5

tarahmarie• 13 years ago

Ferris wheels make me so happy. In related news, I think I shall watch Ferris Bueller's Day Off with My Beloved Husband today.

iframe• 13 years ago

Works in Chrome Canary ;)

pav3l• 13 years ago

You too!

http://www.wolframalpha.com/input/?i=Plot%5BSqrt%5BCos%5Bx%5...

uglytom• 13 years ago

Looks good! Happy Valentine's Day to you too!

joshualastdon• 13 years ago

Nice. Nice again, I say.

booop• 13 years ago

Such things never cease to amaze me. How do you start with a blank paper create an expression which produces that?

jordigh• 13 years ago

It's actually pretty easy...

The actual function being plotted is the two ellipsoids

1 = x^2 + (x - y)^2 + z^2 for x >= 0

1 = x^2 + (x + y)^2 + z^2 for x <= 0

Each of which which is just an ordinary ellipse but rotated a little along the z-axis. If you expand the square and by standard linear algebra techniques (see: diagonalising a quadratic form), you can put both of these in standard form:

1 = x^2/a^2 + y^2/b^2 + z^2

which confirms it's an ellipsoid.

Whoever made the original heart just took these two ellipses and then multiplied by the cosine of the height in order to give it some oscillations and make it look more showy, but the basic idea is just that: two ellipsoids, at opposite slant angles, joined along the middle.

Happy Valentine's Day

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