Sorry if you find this gallery untidy, all the graphs need more detailed descriptions, and the old graphs should be reworked to take advantage of the new features in Desmos:
www.desmos.com/gallery/7252...
#Desmos #Math #Fourier #Epicycloid #Mandelbrot #Parabola
The beauty of light caustics
#photography #reflection #refraction #LightCaustics #patterns #curves #wineglass #glass #focus #mathematics #nephroid #symmetry #caustic #epicycloid #envelope #wood #grain #knot
Horizontally Oriented Cardioid Plane Curve on XY Plane with a maximum outer radius of 3 meters, and a resolution of 256. Technically, it's also an Epicycloid Plane Curve with One Cusp. Below it is a Geometry Nodes Panel showing how the general Curve: Epicycloid Node Group is used to generate it.
The previous Cardioid Plane Curve, now vertically oriented and filled in with a Face that's been given a Red Color, specifically #BB3F3F.
The previous Cardioid Plane Curve, now vertically oriented and filled in with a Face that's been given a Pink Color, specifically #F37CDA.
The previous Cardioid Plane Curve, now vertically oriented and filled in with a Face that's been given a White Color, specifically #E7E7E7.
I'm celebrating Valentine's Day with #Math in #Blender #GeometryNodes with a parametrized implementation of the classic #Cardioid Plane Curve. Since it's just an #Epicycloid Curve with 1 Cusp, I drew it with my new Curve: Epicycloid Node Group, which I'll eventually release in a Math Node Pack. 📐🌐😎
