Walking Randomly

Like it! I suppose it’s a new take on “Hello World” for the advanced user!

have you plotted its derivative?

It’s like a really advanced version of writing “hello” on a digital calculator.

*goes and dusts off his TI-83*

Here’s a really weird one – I haven’t tried it myself, but it’s almost unbelievable:
http://www.kirchersociety.org/blog/2007/02/02/tuppers-self-referential-formula/
If I’m reading right, the formula actually plots itself. Hope you like.

Math is behind everything!
I love it!

are you still intrested?? let me khow i have some very very cool stuff

EXQUISITE ! …… that f(x,y) looks more like a function straight our of ‘Potential Theory’, then again I guess it is more aesthetic ! :-)

I guess that it should be possible to do on MATLAB.

Can we make a ‘HELLO’ …. ? …. ;) (well…. this may be the start to a new encryption method – via MATLAB ….. LOL ! )

Hi,

you can check this post in xamuel.com (the blog of a friend, not mine) where he discusses parametric plots of words:

http://www.xamuel.com/graphs-of-implicit-equations/

You have to scroll down a little first.

Cheers,

Ruben

It is definitely an interesting thought towards the realm of steganography :) Not quite encryption/cryptography, but very interesting.

I am also interested in using infinite (transcendental) sequences as keys or for hiding messages if given offsets (similar to knowing the x,y,z ranges to plot).

http://www.xamuel.com/inverse-graphing-calculator.php

Handcrafted in 12 minutes:

e^(-x^2-100y^2)
+e^(-100*(x-1)^2-y^2/2)
+e^(-100*(x+1)^2-y^2/2)

+e^(-(x-5)^2-100*(y-1)^2)
+e^(-(x-5)^2-100y^2)
+e^(-(x-5)^2-100*(y+1)^2)
+e^(-100*((x-4.5)+1)^2-y^2/2)

+e^(-100*((x-8.5)+1)^2-y^2/2)
+e^(-(x-9)^2-100*(y+1)^2)

+e^(-100*((x-12.5)+1)^2-y^2/2)
+e^(-(x-13)^2-100*(y+1)^2)

+e^(-100*((x-17)+1)^2-y^2/3)
+e^(-(x-18)^2-100*(y+1)^2)
+e^(-(x-18)^2-100*(y-1)^2)
+e^(-100*((x-19)+1)^2-y^2/3)

I leave the world as an excercise

the 18s should be 17s

I thinkt this one also produces an interesting graph: (2x^2+y^2+z^2-1)^3-x^2z^3/10-y^2z^3=0
[source: http://www.mathematische-basteleien.de/heart.htm%5D

this may be salutary for students because it illustrates:
1) moving functions around
2) squeezing functions
3) adding parts by adding functions
4) (non-normalized) variants of the normal distribution

PS: the 18s should be 17s

and here is the idea behind it:

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Here you can try out the 3d functions:

http://www.livephysics.com/ptools/online-3d-function-grapher.php?ymin=-3&xmin=-3&zmin=0&ymax=3&xmax=10&zmax=1&f=e^%28-x^2-100*y^2%29%2Be^%28-100*%28x-1%29^2-y^2%2F2%29%2Be^%28-100*%28x%2B1%29^2-y^2%2F2%29

Increase grid size!
For easier viewing paste each letter individually.

This site is useful as well:

http://fooplot.com/index3d.php

An inequality rather than an equation but Tupper’s self-referential formula is pretty impressive http://mathworld.wolfram.com/TuppersSelf-ReferentialFormula.html

simplify -2i+u>-5u