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Seven Touching Infinite Cylinders

Posted 10 years ago

In the paper Seven mutually touching infinite cylinders (arxiv), two solutions are given. Here they are in Mathematica.

Graphics3D[
 Tube[#, 1] & /@ {{{-3.30042,0.,-1.},{22.5284,0.,-1.}}, 
    {{0.,-7.96597,1},{0.,1.82741,1.}},  {{-5.2998,-9.79317,-1.46472},{22.5284,-0.500337,0.936405}},
    {{-3.30042,-1.72312,-2.01532},{9.77293,-3.90866,1.6938}}, {{-1.35632,0.443258,3.64979},{12.167,-2.59978,-1.45537}},
    {{-3.88208,-7.41485,-0.411606},{11.7311,-0.688465,-2.87777}}, {{-5.46343,-8.8495,-3.22048},{-1.62876,1.82741,2.16067}}}, 
    Boxed->False]

first tubes solution

Graphics3D[Tube[#,1]&/@{{{-6.49925,0.,-1.},{4.44344,0.,-1.}},  {{0.,-5.56083,1.},{0.,8.75284,1.}},  
  {{1.28949,13.5583,11.1955},{2.22276,-4.96793,-2.10446}},  {{-4.63263,-0.427663,-4.09331},{1.89964,14.6892,9.66297}},
   {{-4.30216,-3.20887,-0.248212},{1.30071,8.30707,4.92139}},  {{0.591434,9.59278,2.94502},{7.87771,-9.28969,-0.806615}},
   {{-6.49925,-0.743111,-2.85682},{6.96103,-9.96972,0.83572}}}, Boxed-> False]

second tubes solution

POSTED BY: Ed Pegg

This would be nice to 3D print with tubes diameter slightly increased for holding them together Tube[#, 1.1] &.

POSTED BY: Sam Carrettie
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