The Truss

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  1. DefinitionT(n)

      How is the truss defined?
      The truss consists of several elements with following order-numbers:
      1, 4, 12, 21, 39, 58, 90, 123, 173, 224, 296, 369, 467, 566, 694, 823, 985, 1148 ...
     
      Which are the elements with predetermined breakpoints? 
       1, 12, 39, 90, 173, 296, 467, 694, 985, 1348 ... (Subset of the truss)
  

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  2. Morphological contexts: inner and outer forms of the Periodic Table
       
       The truss divides the Periodic Table into two sections.
       These two sections can be combined differently.
      
       The truss lies within ...

        Extended Periodic Table
     

        ... or the truss lies outside. (better because clearer)
 

  New Periodic Table

   [Picture]

 

  3. Mathematical context

The truss thus follows from the inert-gas algorithm  E(n)

Basic: T(n)=E(n)+(int(n+1)/2)+1

Excel (DE): T(n)=E(n)+(ABRUNDEN((n+1)/2;0))+1
Excel (US): T(n)=E(n)+(ROUND((n+1)/2,0))+1

Mathematical formulas  T(n) 

   

(n)E(n)+ (int(n+1)/2)+1 =

T(n)

PBP
011 [H] 1
12 [He]2

4 [Be]

 
210 [Ne]2

12 [Mg]

 12
318 [Ar]3

21 [Sc]

 
436 [Kr]3

39 [Y]

 39
554 [Xe]4

58 [Ce]

 
686 [Rn]4

90 [Th]

 90
7118 [Uuo]5

123 [Ubt]

 
8168 [Uho]5

173 [Ust]

 173
9218 [Buo]6

224 [Bbq]

 
10290 [Ben]6

296 [Beh]

 296
113627

369 [The]

 
124607

467 [Qhs]

 467
135588

566 [Phh]

 
146868

694 [Heq]

 694
158149

823 [Obt]

 
169769

985 [Eop]

 985

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 4. Further contexts

       Outblocking of Elements  C(n)  [Truss is the essential part here]
       Higgledy-piggledy  
[ Ce-Th-Ubb]   [ Ubt-Ust]
 
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5. Interpretation and meaning

        Temporary end of the description of truss elements
 

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APSIDIUM ©Created:2001-12-06

 

 This page as PDF-file
truss.pdf
Top    HomeLast Updated:2003-03-26

 

 

Thanks to  Brian T. Regan