Degree 3 Shapes

Degree 3 shapes intersect the x-axis at a maximum of three points

1. Leaf (Right Strophoid)
   • Link to Graph
2. Leaf – stretch in the Y direction by a factor of sqrt 3 (Trisectrix of Maclaurin)
   • Link to Graph
3. Leaf – rotated pi/4 counterclockwise (Folium of Descartes)
   • Link to Graph
4. Ivy (Cissoid of Diocles)
   • Symmetric when a-value causes the graph to pass the y-axes
   • Link to Graph
5. Ivy – (Semicubical parabola)
   • Symmetric when a-value causes the graph to pass the x-axis
   • Link to Graph
6. Family of Leafs (Conchoid of de Sluze)
   • a=0: Line
   • a=-1: Ivy (Cissoid of Diocles)
   • a=-2: Leaf (Right Strophoid)
   • a=-4: Leaf – stretch in the Y direction by a factor of sqrt 3 (Trisectrix of Maclaurin)
   • Link to Graph