96 is carréphylic - approach of √96=4√6 ~ 9.7979589711
Subsequent approximations of √96 - the position of a fraction indicates whether it is over or under the root-value.
| Diophantine equation: | s2-96p2 = 1 | | | |
| d = distance to nearest square N2: | -4 | | | |
| Smallest non-trivial s: | (2*100-4)/4 | rational: 49 | actual: 49 | ⇒ F=98 |
| Smallest non-trivial p: | 2*10/4 | rational: 5 | actual: 5 | ⇒ primus foldage=5 |
| v-value tq-blocks: | 102-96*12: | +4 | | |
| Number of series: | 14 | | | |
Cross multiplying the red-green pairs renders subsequent solutions of the diophantine equation.
| In the numerator: | U(1,49)98 | = | 1/2*U(2,98)98 | - | half the secundus of 98. |
| In the denominator: | U(0,5)98 | = | 5*U(0,1)98 | - | the 5-fold primus of 98. |
| as well as ... |
| In the numerator: | U(0,480)98 | = | 480*U(0,1)98 | - | the 96*5-fold primus of 98. |
| In the denominator: | U(1,49)98 | = | 1/2*U(2,98)98 | - | half the secundus of 98. |
| and ... |
| In the numerator: | U(10,10)98 | = | 10*U(1,1)98 | - | the 10-fold tertius of 98. |
| In the denominator: | U(-1,1)98 | = | | - | the quartus of 98. |
