Welcome

How to…

fly the spaceship

retract the walls

change the space

choose the content

centerpiece

color coding

Clifford parallels

vertex figures

export the image

set your preferences

Further study

Acknowledgments

Still have a question? Submit it to the Geometry Games Contact Page for a more-or-less prompt reply.

Curved Spaces is freely distributable under the GNU General Public License. The current version is available at www.geometrygames.org/ CurvedSpaces.

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# Clifford Parallels

Clifford parallels fill up the 3D surface of a hypersphere the same way that strands of spaghetti fill up the box they’re in. Each Clifford parallel is a great circle, yet any two of them twist around each other like two linked rings.

The Clifford Parallels option is available only for spherical spaces, because Clifford parallels don’t exist in a flat or hyperbolic space.