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I'm looking for the name of a shape that is like a capsule, but where each circle can have different radii. The shape could be described using two circles (two centers and two radii). Something like this (this is a 2D shape, not a lame attempt at 3D):

figure

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  • $\begingroup$ ImageShack seems to have deleted your image, and replaced it with an ad banner. If you can, please reupload the image (or something equivalent) using the image upload button in the editor toolbar (which will upload it to Stack Exchange's imgur account). $\endgroup$ Aug 17, 2015 at 16:47

4 Answers 4

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You can just say it is the convex hull of two circles.

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  • $\begingroup$ Yeah that's a simpler definition. A name would be cool though, as I'd like to use it as the name of a class in a program and ConvexHullOfTwoCircles is not too catchy. $\endgroup$
    – Trillian
    Jul 31, 2010 at 1:29
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    $\begingroup$ What about Pear? $\endgroup$ Jul 31, 2010 at 2:13
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    $\begingroup$ It looks like a pulley and belt system, so how about PulleyBeltShape? $\endgroup$
    – user115
    Jul 31, 2010 at 4:45
  • $\begingroup$ I'm accepting this because the shape doesn't seem to have a name and this is a helpful definition. $\endgroup$
    – Trillian
    Jul 31, 2010 at 12:56
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    $\begingroup$ @Qiaochu Haha, Pear's not bad but, if you're into fruits, Avocado seems more fit! $\endgroup$
    – Trillian
    Jul 31, 2010 at 13:05
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Here is an article at Mathworld on Circle-Circle Tangents. Perhaps "CirclesWithTangents"?

Circle-Circle Tangents
(source: wolfram.com)

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  • $\begingroup$ Hmm... not too sure for the name, but thanks for that article, it should be helpful with what I intend to do with this shape. $\endgroup$
    – Trillian
    Jul 31, 2010 at 12:55
  • $\begingroup$ @Dennis Williamson Circle with Direct tangents $\endgroup$
    – Narasimham
    Sep 5, 2014 at 23:42
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I would suggest the name "Capsuloid". I had the same question but in $3D$. One could define the capsuloid ratio as the quotient of smallest radius $r$ to biggest radius $R$. $r\over{R}$ belongs to $[0,1]$, a value of $1$ corresponding to a true capsule.

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  • $\begingroup$ Please use Mathjax $\endgroup$ Jul 18, 2017 at 13:44
  • $\begingroup$ Oh great I didn't know it was available! Super noob here :) Thanks! $\endgroup$
    – kubashmuba
    Jul 19, 2017 at 13:21
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I have 3 ideas from which you may be able use to settle upon a suitable name:

  • a conrod or tapered conrod (as in the big-end small-end connecting rod);

  • it resembles a pull tab of a zipper; and,

  • it also resembles the tab pull of a soda can.

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