Message Boards Message Boards

GROUPS:

Three ParametricPlot3D in one plot

Posted 9 years ago
2518 Views
|
5 Replies
|
4 Total Likes
|
Hello, how can i do this in the title? i want to see where the three plots are crossing each other.
5 Replies
Thank you very much. I will test it in a little bit.
Yes, i know. I have to change the parameters in order to find 3 fixed points.
There is no guarantee that the three curves will intersect, but you may be able to compute parameters that make them intersect.
In any case, here is an example with curves.
 \[Alpha] = 1; m = 2; \[Lambda] = 0.2; \[Mu] = Log[2]/120;
 p1 = ParametricPlot3D[{(\[Lambda]/\[Mu]*u^m)/(1 + u^m),
    u, (\[Lambda]/\[Alpha]*u^(m - 1)/(1 + u^m) - \[Mu]/\[Alpha])}, {u,
    1, 10}, PlotRange -> {{0, 100}, {1, 10}, {0, .5}}, BoxRatios -> 1,
   PlotStyle -> {Blue, Thickness[0.01]}]
 
 p2 = ParametricPlot3D[{(\[Lambda]/\[Mu]*u^m)/(1 + u^m),
    1, (\[Lambda]/\[Alpha]*u^(m - 1)/(1 + u^m) - \[Mu]/\[Alpha])}, {u,
    1, 10}, BoxRatios -> 1, PlotStyle -> {Red, Thickness[0.01]},
  BoxRatios -> 1]

p3 = ParametricPlot3D[{(\[Lambda]/\[Mu]*u^m)/(1 + u),
   1, (\[Lambda]/\[Alpha]*u^(m - 1)/(1 + u^m) - \[Mu]/\[Alpha])}, {u,
   1, 10}, BoxRatios -> 1, PlotStyle -> {Green, Thickness[0.01]},
  BoxRatios -> 1]

Show[p1, p2, p3]
POSTED BY: W. Craig Carter
i have sth like this
?=1, m=2, ?=0.2, ?= Log[2]/120
ParametricPlot3D[{(?/?*u^m)/(1 + u^m),
  u, (?/?*u^(m - 1)/(1 + u^m) - ?/?)}, {u,
  1, 10}, PlotRange -> {{0, 100}, {1, 10}, {0, 5}}]
and i will have two more. How can i do it.i dont have surfaces. It is only the crossing points between two surfaces.
Here is an example:
surface1[u_, v_] := {Sin[u] Cos[v + u], Cos[v] Sin[u], Cos[u - v]}
surface2[u_, v_] := {Sin[u] Cos[v ], Cos[v] + Sin[u], Cos[u - v]}
surface3[u_, v_] := Pi/3 {Sin[u] Cos[v ], Cos[u] Cos[v], Sin[v]}

ParametricPlot3D[{surface1[u, v], surface2[u, v], surface3[u, v]}, {u,
   0 , 2 Pi}, {v, 0, 2 Pi}, BaseStyle -> Opacity[0.5],
PlotStyle -> {Red, Blue, Green}, Mesh -> None]
POSTED BY: W. Craig Carter
Reply to this discussion
Community posts can be styled and formatted using the Markdown syntax.
Reply Preview
Attachments
Remove
or Discard

Group Abstract Group Abstract