Uploaded March 2018 | Updated September 2026, 2 weeks ago
A fragment of an Euclidean plane is embedded in a three-dimensional spherical space. The hexagon is flat, but it appears curved -- this is because our space is curved positively.
This is a VR video. The first time we saw a 3D video, we did now know what is fun about that, so an explanation: watch it on a smartphone -- then you can look in any direction by pointing your smartphone there. You can also use a VR device (e.g., a cheap Google Cardboard or similar) to see this in 3D.
When you see something (e.g., the Princess), try to look the opposite direction -- unless it is covered by something else, you will see exactly the same thing there. This is a property of spherical spaces -- all the rays starting from your eyes eventually hit the back of your head.
This uses a spherical version of the ODS projection. The ODS projection is a reasonable method of creating a VR video at the cost of only minor artifacts.
See the previous (non-3D) version for a longer explanation: https://www.youtube.com/watch?v=L0Qcz... Thanks to Christopher King for the idea of making a VR version!
See the older Volcanic Wasteland version: youtu.be/jXBAwuGhPC8 The new version improves the quality of embedding (in the older version, the model crosses itself).
A fragment of an Euclidean plane is embedded in a three-dimensional spherical space. The hexagon is flat, but it appears curved -- this is because our space is curved positively.
This is a VR video. The first time we saw a 3D video, we did now know what is fun about that, so an explanation: watch it on a smartphone -- then you can look in any direction by pointing your smartphone there. You can also use a VR device (e.g., a cheap Google Cardboard or similar) to see this in 3D.
When you see something (e.g., the Princess), try to look the opposite direction -- unless it is covered by something else, you will see exactly the same thing there. This is a property of spherical spaces -- all the rays starting from your eyes eventually hit the back of your head.
This uses a spherical version of the ODS projection. The ODS projection is a reasonable method of creating a VR video at the cost of only minor artifacts.
See the previous (non-3D) version for a longer explanation: https://www.youtube.com/watch?v=L0Qcz... Thanks to Christopher King for the idea of making a VR version!
See the older Volcanic Wasteland version: youtu.be/jXBAwuGhPC8 The new version improves the quality of embedding (in the older version, the model crosses itself).
