Amazing properties of fractals: Koch Snowflake perimeter

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Uploaded by on May 24, 2010

Fractals are pretty amazing mathematical objects. Here I go over one of the examples that stands out for me.

Properties of the Koch snowflake: area and perimeter

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Uploader Comments (fractalmath)

  • Perimeter is function of thickness of line, everyone assumes 0 line thickness! If line thickness is 0, curve does not exist! Draw it with very thick line, it becomes impossible to extend the curve when line thickness is equal to height of triangle in Koch's curve.

  • @jaleshdikshit perimeter is not a function of the thickness of the line. Also, a curve in mathematics does have "thickness" 0, and it still exists without any problems. It is a one-dimensional object (embeded in higher dimensions, such as a 2d plane in this case).

Top Comments

  • that is really interesting keep making vids like this

  • @BlackRaven117 yo dawg we herd u liek triforce so we put a triforce, in yo triforce, in yo triforce, in yo triforce, in yo triforce, in yo triforce, in yo triforce, in yo triforce, in yo triforce, in yo triforce, in yo triforce, in yo triforce, in yo triforce, in yo triforce, in yo triforce, in yo triforce, in yo triforce, in yo triforce, in yo triforce, in yo triforce, in yo triforce, in yo triforce, in yo triforce, in yo triforce, in yo triforce, in yo..ect

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All Comments (30)

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  • @kyleisreallycool To infinity and BEYOND!

  • @fractalmath in the snow flake on part 3 you have 6 not 3.

  • Triforce within a triforce... That's some inception shit

  • the area of the koch snowflake is s^2 * √0.48 where s is the original side length.

  • the patern continues on for ever great

  • Wow man your vids are awesome!

    Im not that much of a maths brain but you make it both much more fun to learn and also much easier to learn.

  • mind = blown

  • 1:16 TRIFORCE OF TRIFORCES OF TRIFORCES OF TRIFORCE!!!!

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