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1. Numbers parallelogram Pascal Triangle Mirror NEW CONCEPTION Author:Zerinváry Lajos (Lajos Zerinvary)Hungary 2004.12.01.zlaja@freemail.hu STEP 1
2. STEP 2Pascal triangle mirror
3. STEP 3Numbers parallelogram schemeif aaaaaabb letters permutations
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5. STEP 4Numbers parallelogram properties:1.HORIZONTAL SUM=28= c(8,2)= c(8.6)
6. STEP 5Numbers parallelogram properties:2HORIZONTAL SUM= 28 = c(8,2)=c(8.6) OBLIQUELY SUM=36= c(9,2)= c(9,7)OBLIQUELY SUM=84= c(9,3)=c(9,6)
7. Example 1/a
8. Example 1/bif symmetry, thenHORIZONTAL SUM=252=C(10,5)OBLIQUELY SUM=462=C(11,5)=C(11,/6)
9. Example 1/cbinomial quotients...
10. EXAMPLE 2.Aaaaaaaaabbbb letters permutations
11. EXAMPLE 2.Baaaaaaaabbbb letters permutations
12. EXAMPLE 3.Aaaaaaaab letters permutations
13. EXAMPLE 4.Aaaaaabbb letters permutations
14. EXAMPLE 4.B56=C(O,O)*C(8,3)
15. aaaabbbb permutations fixpoint tabl
16. aaaaaabbbbbb letters permutations