My Math Forum the sphere and the circles

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 September 19th, 2007, 06:50 AM #1 Newbie   Joined: Sep 2007 Posts: 17 Thanks: 0 the sphere and the circles hello, i need a help with this example: imagine a sphere and X circles with same diameter and origins. into how much (the most and the least ) X parts can be the sphere divided by the X number of circles? thank u.
 September 19th, 2007, 01:18 PM #2 Senior Member   Joined: Dec 2006 Posts: 1,111 Thanks: 0 I'm not sure I get what you're saying. Could you re-state the problem with more description?
 September 19th, 2007, 11:41 PM #3 Newbie   Joined: Sep 2007 Posts: 17 Thanks: 0 it is hard to say it another way. but i hint is that is rather teoretical example than practical..it means you dont count with any particular number, but this solution have to right for any number of circles.. (the solution has to be something like 2x where the x is number of circles and 2x is the value into how many parts is the sphere differentiated by that circles, eg. if you have one circle (x) you van divide sphere with that circle into two parts (2x) ). actually i dont know if this is the right answer.
 September 20th, 2007, 05:03 AM #4 Senior Member   Joined: Dec 2006 Posts: 1,111 Thanks: 0 OK, I see what you mean by dividing a sphere into parts using circles, but what didn't make any sense to me was why all the circles have the same diameter. Unless maybe they are just being treated like planes in space, but then why are they even circles? I would think that the circles would have a steadily decreasing diameter, so that they could cut the sphere through at different points.
 September 21st, 2007, 09:21 PM #5 Global Moderator   Joined: Dec 2006 Posts: 20,101 Thanks: 1905 All the circles and the sphere have the same diameter.
September 22nd, 2007, 06:06 AM   #6
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Quote:
 All the circles and the sphere have the same diameter.
True, but then what are we supposed do to with the circles?

September 22nd, 2007, 10:15 AM   #7
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Quote:
Originally Posted by Infinity
Quote:
 All the circles and the sphere have the same diameter.
True, but then what are we supposed do to with the circles?
Picture lines of longitude dividing up the globe,then rotating some so they were still on the surface of the Earth but not going north-south anymore. Twist them until you divide up the Earth into the appropriate number of pieces. (1210, this is what you had in mind, yes?)

 September 22nd, 2007, 01:45 PM #8 Senior Member   Joined: Dec 2006 Posts: 1,111 Thanks: 0 Ah, I see what you're getting at now.

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