Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Frenet–Serret formulas
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
====Graphical Illustrations==== # Example of a moving Frenet basis ({{math|'''T'''}} in blue, {{math|'''N'''}} in green, {{math|'''B'''}} in purple) along [[Viviani's curve]]. [[File:Frenet-Serret-frame along Vivani-curve.gif]] #<li value=2> On the example of a [[torus knot]], the tangent vector {{math|'''T'''}}, the normal vector {{math|'''N'''}}, and the binormal vector {{math|'''B'''}}, along with the curvature {{math|''κ''(''s'')}}, and the torsion {{math|''τ''(''s'')}} are displayed. <br> At the peaks of the torsion function the rotation of the Frenet–Serret frame {{math|('''T''','''N''','''B''')}} around the tangent vector is clearly visible.</li> [[File:Torus-Knot nebeneinander animated.gif]] #<li value=3> The kinematic significance of the curvature is best illustrated with plane curves (having constant torsion equal to zero). See the page on [[Curvature#Curvature of plane curves|curvature of plane curves]].</li>
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)