Results 1 to 1 of 1

Math Help - The mathematics of a close-packed cluster of 3 cones

  1. #1
    Newbie
    Joined
    Jan 2013
    From
    uk
    Posts
    3

    The mathematics of a close-packed cluster of 3 cones

    Consider a pair of identical right circular cones in close contact along the full length of their curved surfaces and with their vertices at the same point in space. Imagine the axes of these cones to be in the horizontal plane. A third identical cone is then rested on top of the other two such that their curved surfaces are touching at points on circles perpendicular to their axes at around (or exactly) the mid-heights of the cones. The vertex of the third cone is opposite to that of the other two (i.e. this cone is in an inverted attitude with respect to the others).

    What I wish to solve is the points of contact of the cones and the straight line equation for the third cone.

    I'm not sure of the level of mathematics required to solve this - hopefully elliptic functions are not required!

    Any help would be appreciated.

    Kind Regards,

    Tennessee
    Last edited by tennessee; January 31st 2013 at 07:21 AM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: August 17th 2012, 12:24 AM
  2. Least possible length - 2 cones in box
    Posted in the Geometry Forum
    Replies: 4
    Last Post: March 20th 2011, 10:37 PM
  3. Replies: 0
    Last Post: June 22nd 2010, 09:27 AM
  4. Mathematics: Discrete-Mathematics (Algorithems)
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: November 2nd 2008, 07:27 AM
  5. Cones
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 2nd 2006, 07:09 PM

Search Tags


/mathhelpforum @mathhelpforum