On the 30-Rhombus Symmetric Solid Object

by Frank C. Fung ( 1st published in February, 2013. )

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Section XIV - Six (6) sets of Parallel Edges within the [ 30-Rhombus S-S-O ]

Summary for the Section :

• In this Section , we shall attempt to break-down the 60 Edges of the [ 30-Rhombus Symmetric Solid Object ] :
  • into 6 sets of [ 10 Parallel Edges ] .

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Identifying the Parallel Egdes :

• Let us recall that :
  • each pair of [ opposite edges ] within the rhombus are parallel .

  Accordingly , let us now identify 6 sets of [ 10 parallel Edges ] within the [ 30-Rhombus S-S-O ] as follows :

  • First set [ Set A ] as marked-off in [ red-color ] :

  

  • 2nd set [ Set B ] as marked-off in [ magenta-color ] :

  

  • 3rd set [ Set C ] as marked-off in [ blue-color ] :

  

  • 4th set [ Set D ] as marked-off in [ brown-color ] :

  

  • 5th set [ Set E ] as marked-off in [ light-green-color ] :

  

  • 6th set [ Set F ] as marked-off in [ cyan-color ] :

  

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Consolidating the Diagrams above :

• Let us now consolidate the 18 diagrams above into this set of 3 diagrams :

  

  Yes , we are successful at :

  • breaking-down the 60 Edges of the [ 30-Rhombus S-S-O ] into 6 sets of [ 10 parallel edges ] .

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go to the next section : Section XV - [ Axis of Tri-Symmetry ] within the [ 30-Rhombus S-S-O ]

go to the last section : Section XIII - Five (5) Hexa-symmetric Structures within the [ 30-Rhombus S-S-O ]

return to the 30-Rhombus Symmetric Solid Object HomePage

Original dated 2013-2-04