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28th September 2012

Photo reblogged from sagan|sense with 314 notes

matthen: When a circle is drawn out, the angle the curve makes is always proportional to the length drawn so far. A straight line has a constant angle, no matter how long it has been drawn. More complex curves are generated by more complex rules for the angle given the length, like the ones shown above. This is an appealing way to define a curve, as it doesn’t depend on any coordinate system. For this reason it is called the natural equation of a curve. [inspired by this art] [more] [code]

matthen:

When a circle is drawn out, the angle the curve makes is always proportional to the length drawn so far. A straight line has a constant angle, no matter how long it has been drawn. More complex curves are generated by more complex rules for the angle given the length, like the ones shown above. This is an appealing way to define a curve, as it doesn’t depend on any coordinate system. For this reason it is called the natural equation of a curve. [inspired by this art] [more] [code]

Tagged: mathartsciencelinescurves

Source: matthen

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    I love math
  23. tardigradesepicmission reblogged this from matthen and added:
    Sometimes I feel...all lies. You do all these stuff in Cartesian coordinates, then uni’s...
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