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Let user move a frenet trihedron along a curve?

How to "animate" a frenet trihedron along a given curve?

I believe this is similar to what I'm looking for:

http://www.math.byu.edu/~math302/content/learningmod/trihedron/trihedron.gif

but in the context of curves, because my task is to draw this curve:

c2: [0, 5] -> R^3, c2(t) = (e^t * cos(t), e^t * sin(t), e^t)

and give the user ability to move a frenet trihedron along that curve (using a parameter and @interact)

I know how to draw a curve and basics of interact:

show(parametric_plot3d( (e^t * cos(t), e^t * sin(t), e^t), (t, 0, 2*pi)));
@interact
...

But I don't have enough knowledge about frenet trihedron. If anyone could help me out I would appreciate it.

click to hide/show revision 2
retagged

Let user move a frenet trihedron along a curve?

How to "animate" a frenet trihedron along a given curve?

I believe this is similar to what I'm looking for:

http://www.math.byu.edu/~math302/content/learningmod/trihedron/trihedron.gif

but in the context of curves, because my task is to draw this curve:

c2: [0, 5] -> R^3, c2(t) = (e^t * cos(t), e^t * sin(t), e^t)

and give the user ability to move a frenet trihedron along that curve (using a parameter and @interact)

I know how to draw a curve and basics of interact:

show(parametric_plot3d( (e^t * cos(t), e^t * sin(t), e^t), (t, 0, 2*pi)));
@interact
...

But I don't have enough knowledge about frenet trihedron. If anyone could help me out I would appreciate it.

click to hide/show revision 3
retagged

Let user move a frenet trihedron along a curve?

How to "animate" a frenet trihedron along a given curve?

I believe this is similar to what I'm looking for:

http://www.math.byu.edu/~math302/content/learningmod/trihedron/trihedron.gif

but in the context of curves, because my task is to draw this curve:

c2: [0, 5] -> R^3, c2(t) = (e^t * cos(t), e^t * sin(t), e^t)

and give the user ability to move a frenet trihedron along that curve (using a parameter and @interact)

I know how to draw a curve and basics of interact:

show(parametric_plot3d( (e^t * cos(t), e^t * sin(t), e^t), (t, 0, 2*pi)));
@interact
...

But I don't have enough knowledge about frenet trihedron. If anyone could help me out I would appreciate it.

click to hide/show revision 4
retagged

Let user move a frenet trihedron along a curve?

How to "animate" a frenet trihedron along a given curve?

I believe this is similar to what I'm looking for:

http://www.math.byu.edu/~math302/content/learningmod/trihedron/trihedron.gif

but in the context of curves, because my task is to draw this curve:

c2: [0, 5] -> R^3, c2(t) = (e^t * cos(t), e^t * sin(t), e^t)

and give the user ability to move a frenet trihedron along that curve (using a parameter and @interact)

I know how to draw a curve and basics of interact:

show(parametric_plot3d( (e^t * cos(t), e^t * sin(t), e^t), (t, 0, 2*pi)));
@interact
...

But I don't have enough knowledge about frenet trihedron. If anyone could help me out I would appreciate it.