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How can I cut 2 bezier circles and then join them to make one continuous loop and then extrude a circle along the loop? Then texture it to make it look like a garden hose like my StackExchange profile picture.

This is not a duplicate. It is a different form of moebius loop.

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If you have activated the Add mesh: Extra objects, you can use the XYZ surface to create a shape that looks like your avatar. The parameter you'll want to experiment with in the image below, is the 1.5. It controls the size of the inner loop. The 2 controls the number of loops.
I used the formula for an epicycloid (http://en.wikipedia.org/wiki/Epicycloid) and modified it slightly, to give it depth.
Once it looks good, convert it to a curve and put a bevel on it. How to create an epicycloid

EDIT: I realise that this isn't exactly what you wanted to do, but if you add bars between the loops, it should pretty accurately reproduce the kind of image you want.

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  • $\begingroup$ Thanks but I like the adjustability of the bezier curve/circle. $\endgroup$ Nov 17 '14 at 3:42
  • $\begingroup$ And there probably is a way to it with them too. But I hate them. Because I'm worthless att manipulating them. No matter how I push, pull and rotate, I always end up with sharp points. This was my solution. I hope you find yours. :) TC $\endgroup$
    – user7952
    Nov 17 '14 at 3:50
  • $\begingroup$ I think you may be able to do it with only one circle. I couldn't let this go, so I made a quick try just now. Go into edit mode and select a handle point and rotate it 180° around the axis to which the handle is perpendicular. Don't use the control point, because it won't work. If you get the same results I did, you should be able to take it from there, as you're likely better at bézier curves than I am. $\endgroup$
    – user7952
    Nov 17 '14 at 4:15
  • $\begingroup$ I have a better idea! What about creating a virtual rope and then I can create whatever I want from that. For example, a kline bottle. $\endgroup$ Nov 17 '14 at 7:57
  • $\begingroup$ For a kline bottle I would insist that a set of parametric equations is better. And I actually have such a set saved as a preset. I will gladly share it with you, if you're interested. i61.tinypic.com/k3p3ld.png $\endgroup$
    – user7952
    Nov 17 '14 at 8:27

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