Hence, we can tabulate the known jumps as follows:
|Take-off edge||Toe assist||Rotation||Jump|
|BO||Yes||same dir||toe loop|
|FI||No||same dir||Inside Axel|
Why is there no other jump taking off forwards?
Perhaps it is harder to get the rotation.
Perhaps since all jumps land backwards, a forward take off requires 1-1/2 revolutions in the air, making it "harder".
Perhaps it is impossible to use a toe assist (seriously, how would you do that going forwards?).
Perhaps it is just physically impossible?
BUT maybe one day someone will come up with a new jump, taking off from a FO outside edge with counter rotation... perhaps somehow use a toe assist... Now that would be interesting to see!