~ Tetra Tangle ~ #octanerender #mathart

Mathematics. The Hopf fibration (named after topologist Heinz Hopf) is a fundamental concept in mathematics that describes a deep and surprising connection between spheres of different dimensions.

f=0,d=200,draw=c=>{for(f||createCanvas(W=400,W),noStroke(background(0,20)),i=0;i<PI;i+=PI/256)r=99*cos(i+f/2),x=sin(i)*r+d,y=99*cos(i)+d,fill(W,150),circle(x,y,3),circle(W-x,y,3),fill(W,22),circle(W-x,W-y,3),circle(y,x,3),circle(y,W-x,3);f-=.05}//#つぶやきProcessing #tinycode #bw

A Blaschke-Quotient Flow on the Poincaré Disk Inside the unit disk, zeros and poles perform a Möbius ballet, twisting under SU(1,1) symmetries. Each point follows the gradient of an inner function, its path tracing folds of velvety hyperbolic fabric. Phase interference becomes

a 20 ring knot inspired by mathematical artist Rinus Roelofs' ringed polyhedra. #mathart @rinusroelofs #math #art #stem #steam

~ Zono ~ #octanerender #geometricart

Neon Vortex Street: Lattice Boltzmann Air flows past a cylinder and sheds whirlpools in an alternating chain, the Kármán vortex street. Simulated with the Lattice Boltzmann method (D2Q9) at Re 60, 100, 180, 220. Higher Re = faster, tighter shedding.

~ Symmetry Hypnosis II ~ More arcs, spheres and mesmerising patterns... #octanerender #symmetry

~ Shadow & Light ~ Four squares casting geometric patterns through a dance of light and shadow. #octanerender #geometry

~ Symmetry Hypnosis ~ One arc, a sphere at each end, cloned, then rotation animated. How a simple setup can create mesmerising patterns...

~ Gyroid Glow ~ #mathart #octanerender

~ Curlicious ~ #octanerender #mathart

Light doesn’t just shine, it dances💫 #octanerender #mathart

~ Fusillicious II ~ #octanerender #mathart

~ Trefoil Psychedelia ~ Who would like a sculpture like this on their coffee table? 😃 #knotart #octanerender

~ Meet in the Middle ~ Love playing with @insydium_ltd #meshtools and splines :) #knotart #octanerender

Platonic Solids Harmony: many more properties than the commonly known ones... https://t.co/axVwfqSg6z (by Mathematical Etudes) #math #science #iteachmath #mtbos #visualization #elearning #geometry

~ Thermochromic ~ #mathart #octanerender

~ Swirlicious ~ #octanerender #mathart

A more stylised version of my previous post based on a figure of eight knot. #octanerender #knotart

Credit to @EtherDais for going through the journey to parameterise this variation of the figure of eight knot: x = 1/3 (cos(t)+2 cos(3t) ) y = 1/3 (sin(t)-2 sin(3t) ) z = sin(2t+0.2) I made the animation on the left, swept the spline made from the above formula with a square then