Create Cool Shapes with MS Paint: Math & Fun?

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SUMMARY

This discussion centers on creating intricate geometric shapes using MS Paint, specifically through a technique involving circles divided by points and connecting them with straight or curved lines. The user describes generating star-like shapes by selecting random points and adjusting curves, leading to visually appealing results. The conversation also touches on the potential educational value of these shapes, likening them to complex mathematical constructs such as the Klein bottle. The user expresses a desire to automate this process but lacks programming knowledge.

PREREQUISITES
  • Basic understanding of geometric shapes and their properties
  • Familiarity with MS Paint tools, particularly the line and curve options
  • Knowledge of random number generation concepts
  • Introductory programming skills for automation purposes
NEXT STEPS
  • Explore advanced MS Paint techniques for geometric design
  • Research the mathematical properties of the Klein bottle and other non-orientable surfaces
  • Learn about programming languages suitable for graphic automation, such as Python with libraries like Pygame
  • Investigate algorithms for generating random shapes and patterns in computer graphics
USEFUL FOR

This discussion is beneficial for graphic designers, educators in mathematics, hobbyists interested in digital art, and anyone looking to explore the intersection of art and geometry using simple tools like MS Paint.

darub
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hello.
to be clear, my math is very bad and i used to hate it in school (hmm maybe not the best way to start ..)
..
anyway, while i had a lot of spare time and nothing to do except playing around with windows paint (don't ask why), i found a cool technique which generates nice shapes, which, i discovered, i thought were impossible geometricaly.
here is an example of one of these shapes, it can actualy be very various types of them.
[PLAIN]http://img232.imageshack.us/img232/2852/62048532.png

please note that i have added some lines to the left side of the shape, these can be ignored.

so, to my question, is it just a fun thing, or can it be used by smarter people than me?

i can add more examples of different shapes, and now uploading a video the creation method (will take several hours tho).

thanks.
 
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Well I can't tell you how useful it might be, but it certainly looks cool
 
I love it. :)
 
Rasalhague said:
It looks a bit like one of these:

http://en.wikipedia.org/wiki/Klein_bottle

You can buy a Klein bottle here ...

http://www.kleinbottle.com/

At last, Acme has conquered topological and engineering frontiers to manufacture genuine glass Klein Bottles. These are the finest closed, non-orientable, boundary-free manifolds sold anywhere in our three spatial dimensions.

These elegant bottles make splendid gifts, outstanding classroom displays, and inferior mouse-traps. With its circle of singularities, an Acme Klein Bottle can be said to exist inside of itself -- especially handy during time-reversals.


and ...

Just $45 gets you a quality, rustproof, borosilicate zerovolume manifold ... a bargain compared to 6 years in graduate school!
 
this is how the symbol "Ohm" (well half of it) would look like in a twisted dimension:
[PLAIN]http://img829.imageshack.us/img829/7287/ohm1.png
 
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... how did you do that with MS Paint!?
 
Pengwuino said:
... how did you do that with MS Paint!?

it all began with a circle divided by points.
than i ran a straight lines betwin these points by a random number that i picked (it creates stars shapes).
than i thought "hell, why not using the curve option?". so instead of straight lines i ran curved lines, using 2 random points on the screen to adjust the curve (and keeping these points all the way), and 1 random number to run the curve betwin the points. after that it's only a matter of patience..
the way from circle to random shapes as base was short, and now I'm doing some experiments with vanishing points.
also, i am now trying to automate this process into a program, problem is, I'm lacking any knowledge on programming, so I am looking for a guy to do it for me.
 

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