Hexa-Symmetry & Octo-Symmetry

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

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Tossing the [ SOW-14 ] :

• Let us now toss [ SOW-14 ] , the { Solid Object with 14 faces } , and let it land on one of its 14 faces :

  

  There are 2 possibilities :

  • If it lands on a { Triangle } , i.e. a { Red-color face } , then the Object exhibits { Octo-Symmetry } ,
    • no matter on which of the 8 { Red-color faces } it lands on , the shape always looks the same .

  • If it lands on a { Square } , i.e. a { Blue-color face } , then the Object exhibits { Hexa-Symmetry } ,
    • no matter on which of the 6 { Blue-color faces } it lands on , the shape always looks the same .

  Is this then an { Object } exhibiting both { Hexa-Symmetry } & { Octo-Symmetry } ?

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An Intriguing Question :

• Question :
  • Let the probability of landing on a { Triangle } be [ p ] and the probability of landing on a { Square } be [ q ] ,

    What then are the values for [ p ] & [ q ] ?

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go to the next Section - The { Red-And-Blue Craps } Game

go to the last Section - Constructing [ SOW-14 ]

go to the Home Page for A Solid Object with 14 Faces

original dated 2007-11-04