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Author Topic: Two Spheres  (Read 2355 times)

Norseman

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Two Spheres
« on: January 06, 2016, 03:26:51 pm »

Hi


Just a random couch thought, but does anyone know the name of the point at which two spheres touch? I don't know the answer but I'm sure we will have a 'magicmagician' somewhere on Mayhem - probably in Oz  :embarrassed:


To make the question explicit let's say the spheres are identical, perfect, and are also imaginary so there is no issue of not being spherical at a molecular level.


Dave
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Netleyned

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Re: Two Spheres
« Reply #1 on: January 06, 2016, 03:32:48 pm »

Simply the 'point' I would have thought.


Ned
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Norseman

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Re: Two Spheres
« Reply #2 on: January 06, 2016, 03:39:48 pm »

You could well be right Ned but scientists engineers and magicmajicians seem to have a name for everything and I wondered?
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kinmel

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Re: Two Spheres
« Reply #3 on: January 06, 2016, 03:50:10 pm »

In an arranged group of spheres each contact is at a "lattice point", no idea about just 2 spheres.

Is it different if they touch internally, rather than externally ?
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Norseman

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Re: Two Spheres
« Reply #4 on: January 06, 2016, 04:39:38 pm »

I was just thinking externally but there may be a difference. I'm having knee pains today and resting them has me bored silly, hence the idle question.
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essex2visuvesi

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Re: Two Spheres
« Reply #5 on: January 06, 2016, 05:17:36 pm »

I thought it was an intersection
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kinmel

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Re: Two Spheres
« Reply #6 on: January 06, 2016, 05:36:13 pm »

It could well be.
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Bob K

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Re: Two Spheres
« Reply #7 on: January 06, 2016, 05:36:32 pm »

Also having little to do I have been googling at length.  It appears it is just a "point" where they meet.
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Netleyned

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Re: Two Spheres
« Reply #8 on: January 06, 2016, 06:14:33 pm »

There seems to be a great deal of complicated maths to calculate the size
of the point, but no terminology as to a name other than point.

Ned
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ballastanksian

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Re: Two Spheres
« Reply #9 on: January 06, 2016, 11:09:49 pm »

Why can't they meet at a cafe or go for a pint?

Seriously though: Accordong to Wiki, the intersection of two disks is called the 'Lens'. Given that the exterior of a sphere is curved, and lenses are also basically a curved face, it is logical to call the pit that two spheres meet a 'Lens'.

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Norseman

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Re: Two Spheres
« Reply #10 on: January 07, 2016, 01:50:01 am »

Ah from your diagram it becomes obvious that it is the kissing point  :kiss:
I've finally found a use for that emoticon.
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Bob K

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Re: Two Spheres
« Reply #11 on: January 07, 2016, 07:29:12 am »


Seriously though: Accordong to Wiki, the intersection of two disks is called the 'Lens'. Given that the exterior of a sphere is curved, and lenses are also basically a curved face, it is logical to call the pit that two spheres meet a 'Lens'.


That only applies if they intersect, otherwise a theoretical point contact is still a 'point'.
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