My coworker Chris Brewer created a visualization that allows you to experience a 4D sphere (or "hypersphere") by zooming around a 3D space.

Set Viewing Distance to 1000 and choose Map 1.

What appears to be a spherical container is actually the "equator" of the hypersphere. The three spokes are meridians (lines of longitude), and they meet at one of the poles. Mind-blowing.

* 9:44:27 AM jona:* so tell me what this is exactly - it seems that I'm inside a sphere that gets distorted as I move around it

*Sure, so do you know what a hypersphere or 4 dimensional sphere is?*

**9:45:00 AM BrewerC1:***is that something where x^3 + y^3 + z^3 + a^3 = 5?*

**9:45:38 AM jona:***Yeah, exactly like that*

**9:45:49 AM BrewerC1:***er except*

**9:45:52 AM BrewerC1:***squared*

**9:45:55 AM BrewerC1:***ok*

**9:45:57 AM jona:***how does the x, y, z that I'm moving around relate to that equation's x, y, z, and a?*

**9:46:29 AM jona:***so in this spaces, you are moving through 4d space, but with the constraint that you are always R^2 units from the origin of the space*

**9:46:58 AM BrewerC1:***which confines you to the surface of the hypersphere*

**9:47:06 AM BrewerC1:***ok*

**9:47:11 AM jona:***So the surface of a sphere is a 2d space*

**9:47:19 AM BrewerC1:***and the surface of a 4d sphere is a 3d space*

**9:47:25 AM BrewerC1:**