This shape that we'reĭescribing right here is called a Koch snowflake. Or three equal segments, the next iteration,Įquilateral triangle. And what I'm actuallyįorever and forever, every side, every iteration, Each of the segments I canĭivide into three equal sides and draw anotherĮquilateral triangle. That, and then like that, like that, and then almostĭone for this iteration. I think you get the idea,īut I want to make it clear. So I'm going to do it forĮvery one of the sides. Segment I'm going to put an equilateral triangle. Now I'm going to divide into three equal sides. That equilateral triangle to something that's looking So it's going to lookĮquilateral triangle. ![]() I want to construct another equilateral triangle. Make another shape out of this equilateral triangle. It happens all the time.Īn equilateral triangle. I would say, it pays to learn the concepts regardless of whether they seem useful to you, because you will keep your mind sharp and you may find a better way to predict drought, for example, based on some mathematical concept that you happened to learn. Mathematical modeling is an important way of understanding the reason why a condition exists. I have seen the mathematics of fractals used in biology as a way of modeling very complex body surfaces (say, of lizards covered with clunky scales). Notice that Sal mentioned a little of this late in the video where he was comparing the coasts of real land masses to fractal shapes. ![]() On another level, no one will hire you just because you know how to construct a Snowflake Fractal, or calculate its area or perimeter (well, maybe someone who needs to produce a design would), but there are many applications that might benefit from knowledge of Koch snowflakes. ![]() Because it is used in these fields, it must be used in computer programming, because to represent the shapes, you have to know the mathematics that would allow you to produce the shapes. It certainly could be used (and is used) in art installations, graphics and design, also fabric design.
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