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By Friedrichs O.D., Huson D.H.

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Additional resources for 4-Regular Vertex-Transitive Tilings of E^3

Sample text

5 ∗ 10 + 6: 10 ) 5 6 8 3 2 50 5 56 Νοω ρεπεατ τηεσε τωο στεπσ—µυλτιπλψ βψ 10 υπ το τηε ριγητ, τηεν συµ δοων. Ιφ ψου φολλοω τηε αλγοριτηµ ωιτη χαρε, ψουρ ⇒ναλ ρεσυλτ σηουλδ λοοκ λικε τηισ 10 ) 5 5 6 8 3 2 50 560 5680 56830 56 568 5683 56832 ανδ τηε νυµβερ ψου σεεκ ισ ατ τηε ενδ οφ τηε προχεσσ. Νοτε τηατ τηισ προχεδυρε αϖοιδσ ωριτινγ ιν αλλ τηοσε παρεντηεσεσ. Ωε ηαϖε σεεν τηατ δεχιµαλ ιντεγερσ χαν βε ωριττεν ιν τωο φορµσ.

56,832 = (((5 ∗ 10 + 6) ∗ 10 + 8) ∗ 10 + 3) ∗ 10 + 2 Τηισ ισ σλιγητλψ σηορτενεδ ιφ ωε ρεχαλλ τηε αλτερνατε ρεπρεσεντατιον, a ∗ b = (a)b: 56,832 = (((5 ∗ 10 + 6)10 + 8)10 + 3)10 + 2 Τηερε ισ αν αττραχτιϖε ωαψ οφ χαρρψινγ ουτ τηισ προχεσσ χαλλεδ σψντηετιχ συβστιτυτιον. Σοµε ρεαδερσ ωιλλ ηαϖε µετ τηισ προχεδυρε ιν σχηοολ βυτ µαψ στιλλ νοτ ρεχογνιζε τηισ αππλιχατιον. Ιν τηε χασε οφ ουρ λαστ εξαµπλε, 56,832, τηε προχεσσινγ ωουλδ λοοκ λικε τηε φολλοωινγ. Ωε ⇒ρστ ωριτε 10 ρεπρεσεντινγ τηε δεχιµαλ βασε, ανδ σεπαρατελψ τηε διγιτσ ιν ουρ νυµβερ, 56832.

13τεν το βιναρψ. ) Ωε χαν δο τηισ βψ ωορκινγ βαχκωαρδ τηρουγη τηε σψντηετιχ διϖισιον ωε υσεδ το χονϖερτ φροµ βιναρψ το δεχιµαλ. Ατ ⇒ρστ ωε κνοω ονλψ τηε φολλοωινγ: 2) 1 1 13 Βυτ τηε φολλοωινγ φαχτσ αρε αϖαιλαβλε το υσ: 1.

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