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Tuesday, 22 May 2012 14:58

May

This is a model from last month's exploration. Four circles in a tetrahedron patten designed to a truncated form.

 m-1

 

This month I added another of the same system with some variation in the forming.

 

m-2   m-3

 

In going back to exploring the possibilities in reforming the tetrahedron net the helix form continues to hold my interest as does my amusement in using my business cards.

 

                                                                             m-4

m-5    m-6

m-7   m-8

 

 

Three more units were attached to the three solid faces of one side making a partial bi-pyramid. This is the seed unit for systematically adding a helix unit from single circles. They were attached only where there was a congruent face and they did not interfere with others that were added.

 

m-9

 

                                    m-10

 

 

m-11   m-12 

 

 

Below I started exploring further various helix formations using variations of the reformed tetrahedron units used in the above system.

m-13 

m-14

I had to make this from paper plates to look at the difference. When the open space are larger you see it differently making connections otherwise not seen.

                                                      m-15

...like this one using four circles and each unit of three tetrahedra opened in a different way.

m-16

 

Below is a hinged tetrahedrahelix with 2/3 or the circumference folded out on each unit of two circles joined into a tetrahedron. On the left the helix is to an open twisting and on the right is reversed into a tighter twisting. 

m-21  m-22

      

Here is another reformation of the same helix system.                            

                                                                            m-23

 

Below is another hinged joined helix that has very little opening movement but lots of individual isolated movement with each unit making a jiggling movement rather than twisting.

m-19

 

 

 

                                        m-20

                             Another static helix form with the reformed units we started with.

 

 

 

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