These images are three-dimensional renders of (part of) the Hopf fibration. The Hopf fibration is a way of smoothly assigning a circle S1 over each point of a sphere S2, so that the whole collection of circles forms the three-dimensional sphere S3. As S3 is not the same as the product of S2 x S1, the collection of circles is twisted in a topologically non-trivial way. 

To visualise it, the circles associated to certain values of the spherical coordinates phi and theta are projected from the 3-sphere S3 to ordinary 3-dimensional space (R3) using the stereographic projection. In addition, in order to avoid having to deal with too big circles, everything is shrunk toward the origin, which is why certain big circled do not quite look like circles.

Typically, the circles in the pictures below are arranged in (partial) nested tori. Each torus is associated to a given value of the polar spherical coordinate theta, while the circles along a given torus are associated to different values of the azimutal coordinate phi.

Stereographic images: look at the left image with your right eye and vice versa to see the Hopf fibers in three-dimension

Dall-e interpretation of the Hopf fibration.