Definition:Quadrifolium

Quadrifolium

The quadrifolium is the instance of the rhodonea curve for $n = 4$:

Cosine Form

The quadrifolium can be defined by the polar equation in the form:

$r = a \cos 2 \theta$

where:

$0 \le \theta \le 2 \pi$

Sine Form

The quadrifolium can be defined by the polar equation in the form:

$r = a \sin 2 \theta$

where:

$0 \le \theta \le 2 \pi$

Also known as

The quadrifolium is also seen referred to as a four-leaved rose, or four-petalled rose.

Also see

• Definition:Trifolium

• Results about quadrifolium curves can be found here.

Sources

• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): rose

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