Definition:Quadrifolium

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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:

$0 \le \theta \le 2 \pi$
Quadrifolium-cosine.png


Sine Form

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

$r = a \sin 2 \theta$

where:

$0 \le \theta \le 2 \pi$
Quadrifolium-sine.png


Also known as

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


Also see


Sources