110 is carréphylic - approach of √110 ~ 10.4880884817
Subsequent approximations of √110 - the position of a fraction indicates whether it is over or under the root-value.
| Diophantine equation: | s2-110p2 = 1 | | | |
| d = distance to nearest square N2: | +10 | | | |
| Smallest non-trivial s: | (2*100+10)/10 | rational: 21 | actual: 21 | ⇒ F=42 |
| Smallest non-trivial p: | 2*10/10 | rational: 2 | actual: 2 | ⇒ primus foldage=2 |
| v-value qt-blocks: | 102-110*12: | -10 | | |
| Number of series: | 12 | | | |
Cross multiplying the red-green pairs renders subsequent solutions of the diophantine equation.
| In the numerator: | U(1,21)42 | = | 1/2*U(2,42)42 | - | half the secundus of 42. |
| In the denominator: | U(0,2)42 | = | 2*U(0,1)42 | - | the 2-fold primus of 42. |
| as well as ... |
| In the numerator: | U(0,220)42 | = | 220*U(0,1)42 | - | the 110*2-fold primus of 42. |
| In the denominator: | U(1,21)42 | = | 1/2*U(2,42)42 | - | half the secundus of 42. |
| and ... |
| In the numerator: | U(-10,10)42 | = | 10*U(-1,1)42 | - | the 10-fold quartus of 42. |
| In the denominator: | U(1,1)42 | = | | - | the tertius of 42. |
