102 is carréphylic - approach of √102 ~ 10.0995049384
Subsequent approximations of √102 - the position of a fraction indicates whether it is over or under the root-value.
| Diophantine equation: | s2-102p2 = 1 | | | |
| d = distance to nearest square N2: | +2 | | | |
| Smallest non-trivial s: | (2*100+2)/2 | rational: 101 | actual: 101 | ⇒ F=202 |
| Smallest non-trivial p: | 2*10/2 | rational: 10 | actual: 10 | ⇒ primus foldage=10 |
| v-value qt-blocks: | 102-102*12: | -2 | | |
| Number of series: | 16 | | | |
Cross multiplying the red-green pairs renders subsequent solutions of the diophantine equation.
| s | 1 | 101 | 20401 | ... |
| p | 0 | 10 | 2020 | ... |
| In the numerator: | U(1,101)202 | = | 1/2*U(2,202)202 | - | half the secundus of 202. |
| In the denominator: | U(0,10)202 | = | 10*U(0,1)202 | - | the 10-fold primus of 202. |
| as well as ... |
| In the numerator: | U(0,1020)202 | = | 1020*U(0,1)202 | - | the 102*10-fold primus of 202. |
| In the denominator: | U(1,101)202 | = | 1/2*U(2,202)202 | - | half the secundus of 202. |
| and ... |
| In the numerator: | U(-10,10)202 | = | 10*U(-1,1)202 | - | the 10-fold quartus of 202. |
| In the denominator: | U(1,1)202 | = | | - | the tertius of 202. |
