WOLFRAM|DEMONSTRATIONS PROJECT

Axis of Revolution

​
coefficients for x =
x
0
+
x
1
t +
x
3
sin(t) +
x
4
sin​
2
t
​
x
0
-3
x
1
-2
x
2
1
x
3
1
x
4
0
coefficients for y =
y
0
+
y
1
t +
y
3
cos(t) +
y
4
cos​
2
t
​
y
0
-1
y
1
-3
y
2
-1
y
3
2
y
4
0
t range
2
vector for axis of revolution
a
1
b
0
c
0
In Mathematica, RevolutionPlot3D[
f
z
, {
t
,
t
min
,
t
max
}]generates a plot of the surface of revolution with height
f
z
at radius
t
. The axis of revolution can be changed by using the option RevolutionAxis. This Demonstration shows these features for a parametric equation. If the vector is set to
(0,0,0)
, the 2D graph of the equation will be shown instead.