Steve Trettel · with Henry Segerman, Rémi Coulon, Sabetta Matsumoto

Code: Sph Hopf Link · 2020

A Hopf link (two linked great circles) rendered inside $S^3$

Raymarching in S3 showing a Hopf link, which consists of two fibers of the Hopf fibration. These are two great circles in S3 that are linked with linking number 1. The scene renders tubular neighborhoods of the two circles, demonstrating how simple closed curves can be linked in the 3-sphere. Controls: WASD to rotate, arrow keys to translate.

Steve Trettel · with Henry Segerman, Rémi Coulon, Sabetta Matsumoto
Open full-screen ↗ ← All demos