# An expression for this figure

1. Dec 19, 2012

### sunone

http://img138.imageshack.us/img138/7113/conewithflattip.png [Broken]

Help needed, I need an expression of the figure in the picture, it is like a conic but the tip is not a point but a short 1D segment (it s not a truncated conic), I accept anything ;-) skewed Conics, Sperical Harmonics approx, cubic surface..... any suggestion?

Last edited by a moderator: May 6, 2017
2. Dec 19, 2012

### Staff: Mentor

ellipseconic and for the object an ellipsecone (I thought first ellipsone but that's already a word for winds that move in elliptical paths)

alternatively you could use ovalconic and ovalcone

or lineconic and linecone

** (I didn't know if you were try to name something new or wanted the correct mathematical name. My suggestions are inventions only)

Last edited: Dec 19, 2012
3. Dec 19, 2012

How about elliptical wedge? Or do you need to model it? You take the formula for two ellipses and interpolate between them. Set the width of the upper one to zero. Something like this:

$$X(t)=(a_1 (1-z/c) + a_2(z/c) )\cos(t)$$
$$Y(t)=(b(1-z/c)\sin(t)$$

Last edited: Dec 19, 2012
4. Dec 19, 2012

### Staff: Mentor

a wedgeonic or wedgeone

5. Dec 20, 2012

### Vargo

6. Dec 20, 2012

### Staff: Mentor

Y'all must be from Texas.

7. Dec 20, 2012

### Vargo

Yes, I do live in Texas

8. Dec 20, 2012

### Staff: Mentor

Me too.

9. Dec 20, 2012

### Vargo

Well, howdy neighbor!

10. Dec 20, 2012

Howdy!