#mobius transformation

[type-token-graphics]

Untitled0009 / 6.12.26 / Blender, EEVEE

Human art from a human heart! 🫀 No generative AI

[hyperbolicgifs]

procession ----------->

[shonk]

Back and Forth

(source code)

[shonk]

Renewable Resource

(source code)

[itsgeometricalinspiration]

(via GIPHY)

[rh35211]

(via GIPHY)

[the-moonsugar-girl]

Again, reference. Mobius transformations and circlines.

[ulaulaman]

Möbius transformations

This beautiful animation was created by Malin Christersson with GeoGebra. On her site you can find a very complete and interesting tutorial.

Geometrically, a Möbius transformation can be obtained by first performing stereographic projection from the plane to the unit two-sphere, rotating and moving the sphere to a new location and orientation in space, and then performing stereographic projection (from the new position of the sphere) to the plane. These transformations preserve angles, map every straight line to a line or circle, and map every circle to a line or circle. The set of all Möbius transformations forms a group called the Möbius group which, together with its subgroups, finds numerous applications in mathematics and physics.