Asymptotic Direction
An asymptotic direction at a point p of a Regular Surface 
is a direction in which theNormal Curvature of 
vanishes.
- 1. There are no asymptotic directions at an Elliptic Point.
- 2. There are exactly two asymptotic directions at a Hyperbolic Point.
- 3. There is exactly one asymptotic direction at a Parabolic Point.
- 4. Every direction is asymptotic at a Planar Point.
References
Gray, A. Modern Differential Geometry of Curves and Surfaces.Boca Raton, FL: CRC Press, pp. 270 and 320, 1993.
- Gyrocupolarotunda
- Gyroelongated Cupola
- Gyroelongated Dipyramid
- Gyroelongated Pentagonal Bicupola
- Gyroelongated Pentagonal Birotunda
- Gyroelongated Pentagonal Cupola
- Gyroelongated Pentagonal Cupolarotunda
- Gyroelongated Pentagonal Pyramid
- Gyroelongated Pentagonal Rotunda
- Gyroelongated Pyramid
- Gyroelongated Rotunda
- Gyroelongated Square Bicupola
- Gyroelongated Square Cupola
- Gyroelongated Square Dipyramid
- Gyroelongated Square Pyramid
- Gyroelongated Triangular Bicupola
- Gyroelongated Triangular Cupola
- Gårding's Inequality
- Göbel's Sequence
- Gödel Number
- Gödel's Completeness Theorem
- Gödel's Incompleteness Theorem
- Haar Function
- Haar Integral
- Haar Measure