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#1 2014-06-25 06:51:23

Maburo
Member
From: Alberta, Canada
Registered: 2013-01-08
Posts: 287

Blobs

While playing around with functions and graphng, I found an equation for a blob which takes the shape of any function. It is simply the equation for a circle, but modified slightly.

For a blob that takes the shape of a function

, use the equation
where
varies.

Try it out with a graphing calculator capable of using sliders for

, or use a CAS.

For example, you could examine a blob that warps its shape around the curve

by plotting
with
and varrying
.

You can also use it to make a heart around

by plotting
.


"Pure mathematics is, in its way, the poetry of logical ideas."
-Albert Einstein

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#2 2014-06-25 10:05:21

Maburo
Member
From: Alberta, Canada
Registered: 2013-01-08
Posts: 287

Re: Blobs

Here is an example I made using Desmos:

Blob


"Pure mathematics is, in its way, the poetry of logical ideas."
-Albert Einstein

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#3 2014-06-26 06:19:51

Maburo
Member
From: Alberta, Canada
Registered: 2013-01-08
Posts: 287

Re: Blobs

A similar example - but this time made with a warped ellipse, rather than a warped circle, in the shape of the sine function. It resembles a snake!

Elliptical Sine Snake


"Pure mathematics is, in its way, the poetry of logical ideas."
-Albert Einstein

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