79 is carréphylic - approach of √79 ~ 8.8881944173
Subsequent approximations of √79 - the position of a fraction indicates whether it is over or under the root-value.
| Diophantine equation: | s2-79p2 = 1 | | | |
| d = distance to nearest square N2: | -2 | | | |
| Smallest non-trivial s: | (2*81-2)/2 | rational: 80 | actual: 80 | ⇒ F=160 |
| Smallest non-trivial p: | 2*9/2 | rational: 9 | actual: 9 | ⇒ primus foldage=9 |
| v-value qt-blocks: | 92-79*12: | +2 | | |
| Number of series: | 15 | | | |
Cross multiplying the red-green pairs renders subsequent solutions of the diophantine equation.
| In the numerator: | U(1,80)160 | = | 1/2*U(2,160)160 | - | half the secundus of 160. |
| In the denominator: | U(0,9)160 | = | 9*U(0,1)160 | - | the 9-fold primus of 160. |
| as well as ... |
| In the numerator: | U(0,711)160 | = | 711*U(0,1)160 | - | the 79*9-fold primus of 160. |
| In the denominator: | U(1,80)160 | = | 1/2*U(2,160)160 | - | half the secundus of 160. |
| and ... |
| In the numerator: | U(9,9)160 | = | 9*U(1,1)160 | - | the 9-fold tertius of 96. |
| In the denominator: | U(-1,1)96 | = | | - | the quartus of 96. |
