Movies of the TNB frame along a curve
Contents
In these movies, T is blue, N is green and B is red.
A warning
To get the frame to look like an orthonormal frame, you must have intervals of approximately equal length along the axes.
A helix
The file helixframe.mat was created with the commands
syms t r = [3*cos(t),3*sin(t),t] helixframe = movingframe(r,t,0,4*pi,-6,6,-6,6,0,4*pi) save('helixframe','helixframe')
r =
[ 3*cos(t), 3*sin(t), t]
helixframe =
1x101 struct array with fields:
cdata
colormap
You can view the movie without executing these commands by giving the commands
load('helixframe')
mplay(helixframe)
A warning
To get the frame to look like an orthonormal frame, you must have intervals of approximately equal length along the axes.
Twisted cubic
The file twistedcubicrame.mat was created with the commands
syms t r = [t,t^2,t^3] twistedcubicframe = movingframe(r,t,-1,1,-2,2,-2,2,-2,2) save('twistedcubicframe','twistedcubicframe')
r =
[ t, t^2, t^3]
twistedcubicframe =
1x101 struct array with fields:
cdata
colormap
You can view the movie without executing these commands by giving the commands
load('twistedcubicframe')
mplay(twistedcubicframe)
