Gabriel's Horn
The Surface of Revolution of the function 
about the 
-axis for 
. It has Finite Volume
 |  |  | |
|  |
but Infinite Surface Area, since
This leads to the paradoxical consequence that while Gabriel's horn can be filled up with
cubic units of paint,an Infinite number of square units of paint are needed to cover its surface!See also Funnel, Pseudosphere- Helmholtz Differential Equation--Oblate Spheroidal Coordinates
- Helmholtz Differential Equation--Parabolic Coordinates
- Helmholtz Differential Equation--Parabolic Cylindrical Coordinates
- Helmholtz Differential Equation Polar Coordinates
- Helmholtz Differential Equation--Prolate Spheroidal Coordinates
- Helmholtz Differential Equation--Spherical Coordinates
- Helmholtz Differential Equation--Spherical Surface
- Helmholtz Differential Equation--Toroidal Coordinates
- Helmholtz's Theorem
- Helson-Szegö Measure
- Hemicylindrical Function
- Hemisphere
- Hemispherical Function
- Hempel's Paradox
- Hendecagon
- Henneberg's Minimal Surface
- Hensel's Lemma
- Henstock-Kurzweil Integral
- Heptacontagon
- Heptadecagon
- Heptagon
- Heptagonal Number
- Heptagonal Pyramidal Number
- Heptahedron
- Heptakaidecagon