A Solid Object with 14 Faces

by Frank C. Fung - 1st published in November, 2007.

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Summary & Brief Introduction :

• A { Solid Object with 14 faces } , abbreviated as [ SOW-14 ] , is constructed via joining the [ mid-points ] on the 12 sides of a { Cube } :

  

  This { Solid Object } then has 14 faces , made-up-of { 8 equilateral-triangle surfaces } & { 6 square surfaces } .

  This { Solid Object } then exhibits both { Hexa-Symmetry } and { Octo-Symmetry } .

• Brief Introduction :

  The author attended the { Sun Hung Kai Properties Nobel Laureates Distinguished Lectures } at the Chinese University of Hong Kong ( CUHK ) on 2007-10-25 :

  • 1st Lecture - Developing Creativity and Innovation in Engineering and Science - Professor Martion L. Perl ,
  • 2nd Lecture - The Great Excitement in 1957 about Parity Nonconservation - Professor YANG Chen Ning .

  This question was subsequently raised , via fax , due to some rather particular circumstances :

  • Since [ parity ] arsies from { Left-Right Symmetry } and [ parity ] is not conserved on certain weak-force situations , and scientists have been striving for a better understanding of it over the past 50 years :
    • In there any possibility that the answer may lie in :
      • Triangular Symmetry ,
      • Tetrahedral / Quad Symmetry ,
      • Hexa-Symmetry / Octo-Symmetry .

    • I have been doing some research work on { Combinatorics & its Optimization } , based on the { I-Ching } . A preliminary finidng here is that under certain circumstances , a { Double-Duality } may degenerate into a { Double-Singularity } .

      

      Would this help any ?

• This new web-page here is a follow-up on this question .

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Original dated 2007-11-04 *** Uupdated 2007-11-22 / 2008-11-01 / 2009-10-26