View from a higher dimension unifies 2D Mobius Transformations

[Richard Amiel McGough]

This excellent video shows who 2D Mobius transformations can be seen as a projection from a 3D sphere. It's quite beautiful and eye-opening.

[RC Christian]

This excellent video shows who 2D Mobius transformations can be seen as a projection from a 3D sphere. It's quite beautiful and eye-opening.

Has anyone ever read the book "Flatland" by Edwin Abbott? This reminds me of it in an updated and psychedelic format...cool.

[Richard Amiel McGough]

Has anyone ever read the book "Flatland" by Edwin Abbott? This reminds me of it in an updated and psychedelic format...cool.

Oh yeah, that's a classic. As I recall, it seemed rather "quaint" to me when I read it years ago. That's probably because it was written in 1884. The entire book is available online here. It's got a great dedication:

Dedication

To
The Inhabitants of SPACE IN GENERAL
And H.C. IN PARTICULAR
This Work is Dedicated
By a Humble Native of Flatland
In the Hope that
Even as he was Initiated into the Mysteries
Of THREE Dimensions
Having been previously conversant
With ONLY TWO
So the Citizens of that Celestial Region
May aspire yet higher and higher
To the Secrets of FOUR FIVE OR EVEN SIX Dimensions
Thereby contributing
To the Enlargment of THE IMAGINATION
And the possible Development
Of that most and excellent Gift of MODESTY
Among the Superior Races
Of SOLID HUMANITY