TOPICS
Search

Deltoid Involute


DeltoidInvolute

The involute of the deltoid

x=1/3[2cost-cos(2t)]
(1)
y=1/3[2sint-sin(2t)]
(2)

is a hypocycloid involute for n=3

x_i=1/9[2cost-cos(2t)]
(3)
y_i=1/9[2sint+sin(2t)],
(4)

which is another deltoid scaled by a factor (n-2)/n=1/3 and rotated 1/(2·3)=1/6 of a turn.


See also

Deltoid, Deltoid Evolute, Involute

Explore with Wolfram|Alpha

Cite this as:

Weisstein, Eric W. "Deltoid Involute." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DeltoidInvolute.html

Subject classifications