"Hi, I'd like to let people know about a new little "program" - if you can really call it that - that lets you play around with some fractals no other programs I've seen do. It's called Tagagi Explorer. It lets you play around with the formula for the Takagi/Blancmange curve. Despite what it may look like from gives you for shapes, I give you my 100% guarantee they're all fractals! In the future, I'm going to expand it to add more options, that will allow to get other shapes, like the Weierstrass function.
Just a note on use: putting in a value of 0.618033989.. for the common ratio gives a shape that theoretically represents the stock market, and putting in a value for the common ratio that's not <1 will give you an infinitely tall curve. If the curve looks too blocky, as it often will with relatively high common ratios, just increase the iteration. If you want to see how a curve is built, try animating the iterations. The other two are just to adjust the window.
My Takagi Explorer, which allows the user to generate, play around with, and animate a generalized group of Blancmange curves (Wikipedia Link). I hope to add more advanced parameters to the Takagi explorer soon." Timeroot click for > Tagagi Explorer
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