Mathematical workbench · β
6/9 constructor
Choose two pairs with the same tf, transform them through F7+, and immediately obtain one of the two parallel 6/9 classes.
Fill the working pairstwo solutions with the same tf
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Pair PF4+
- f
- 840
- tf
- 210
=tf = 210
Pair QF4+
- f
- 840
- tf
- 210
F7+elliptic operations whose result is another pair
?
The ± signs select one of the two lifts of a pair to E_T. Point coordinates stay hidden: F7+ converts the result back into a projective pair.
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Placement in the squaretwo parallel progressions
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Equal tf values match the progression differences. The selected formula recovers the common coordinates E,x,y and thereby satisfies the remaining placement conditions.
A—F—HΔ₁=B—D—JΔ₂
- Δ
- 13 440
- status
- 6/9 confirmed
E1 105x264y840
A1 369
B1 681
C265
D1
E1 105
F2 209
G1 945
H529
J841
a brick-red frame marks a value that is a perfect square
✓
Magic invariantall 8 line sums agree
✓
Declared maskABDFHJ · confirmed
✓
Actual result6/9 squares
✓
Nondegeneracy9 pairwise-distinct entries