POV-Ray : Newsgroups : povray.binaries.images : The Borderless One-sided Surface From Hell Strikes Again : Re: The Borderless One-sided Surface From Hell Strikes Again Server Time
4 Nov 2024 13:23:40 EST (-0500)
  Re: The Borderless One-sided Surface From Hell Strikes Again  
From: Urs Holzer
Date: 25 Jul 2008 14:19:40
Message: <488a193c@news.povray.org>
Warp wrote:
> B. Gimeno wrote:
>> ....also known as Klein's Surface, this is a test of the almost
>> finished new version of the bastard tiling shapes from hell include
>> file.
> 
>   Personally I have always had a problem accepting klein's bottle as a
> true *borderless* surface because the surface intersects with itself,
> and the intersection could be interpreted as a border.

It only intersects itself in 3D because it can not be embedded in 3D.
But it can be embedded in 4 dimensions where it shows up as a true
borderless surface.


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