Mathematical & Geometric extensions to an equilateral field fragment S1n'= (tangent 60)n-1
The Symmetric Field Mathematical & Geometric extensions to an equilateral field fragment S1n'= (tangent 60)n-1
TABLE-1 NESTED SERIES: from 1 to infinity
| n | S1 | |
| 1 | 1 | |
| 2 | 1.732050808 | |
| 3 | 3 | |
| 4 | 5.196152423 | |
| 5 | 9 | |
| 6 | 15.588457268 | |
| 7 | 27 | |
| 8 | 46.765371804 | |
| 9 | 81 | |
| 10 | 140.296115413 | |
| 11 | 243 | |
| 12 | 420.88834624 | |
| 13 | 729.000000001 | |
| 14 | 1262.66503872 | |
| 15 | 2187.000000005 | |
| 16 | 3787.995116162 | |
| 17 | 6561.000000017 | |
| 18 | 11363.98534849 | |
| 19 | 19683.000000056 | |
| 20 | 34091.956045481 | |
| 21 | 59049.000000188 |
TABLE-2 NESTED SERIES: from 1 to zero
| 1 | 1 |
| 0 | 0.577350269 |
| -1 | 0.333333333 |
| -2 | 0.19245009 |
| -3 | 0.111111111 |
| -4 | 0.06415003 |
| -5 | 0.037037037 |
| -6 | 0.021383343 |
| -7 | 0.012345679 |
| -8 | 0.007127781 |
| -9 | 0.004115226 |
| -10 | 0.002375927 |
| -11 | 0.001371742 |
| -12 | 0.000791976 |
| -13 | 0.000457247 |
| -14 | 0.000263992 |
| -15 | 0.000152416 |
| -16 | 0.000087997 |
| -17 | 0.000050805 |
| -18 | 0.000029332 |
| -19 | 0.000016935 |
| -20 | 0.000009777 |
| -21 | 0.000005645 |
The Pythagoras Project-Nested series:
Tables of Pythagoras
Nested series: table-1,extended
Nested series: table-2,extended
Linear series: table-3,extended
Linear series: table-4,extended
Other Projects
Copyright 1989
Michael Robinett