| 21. | The method is based on a quartic box spline, which generate C 1 continuous.
|
| 22. | A generic quartic curve has 28 bitangents.
|
| 23. | The catalecticant of a ternary quartic is the resultant of its 6 second partial derivatives.
|
| 24. | The discriminant of the quartic polynomial.
|
| 25. | The quartic was first described in.
|
| 26. | An example is the Klein quartic.
|
| 27. | For binary quartics the catalecticant vanishes when the form is a sum of 2 4th powers.
|
| 28. | For quaternary quartics the catalecticant vanishes when the form is a sum of 9 4th powers.
|
| 29. | For quinary quartics the catalecticant vanishes when the form is a sum of 14 4th powers.
|
| 30. | Thus the intersection curve, which theory says must be a quartic, contains four double points.
|
