POV-Ray : Newsgroups : povray.binaries.images : <no subject> : Re: <no subject> Server Time
28 Apr 2024 21:14:43 EDT (-0400)
  Re: <no subject>  
From: Thomas de Groot
Date: 25 Oct 2017 07:06:52
Message: <59f0704c$1@news.povray.org>
On 25-10-2017 11:29, Stephen wrote:
> On 25/10/2017 09:29, Ive wrote:
>> Am 10/21/2017 um 3:51 schrieb Bald Eagle:
>>> Mostly because they didn't have a picture to go with the Wikipedia 
>>> article...
>>>
>>> https://en.wikipedia.org/wiki/Curve_of_constant_width
>>>
>>>
>>> So here it is folks, the eighth-order polynomial defined by:
>>>
>>> (x^2+y^2)^4 - 45(x^2+y^2)^3 - 41283(x^2+y^2)^2 + 7950960(x^2+y^2) +
>>> 16(x^2-3y^2)^3 + 48(x^2+y^2)(x^2-3y^2)^2 + (x^2-3y^2)x[16(x^2+y^2)^2 -
>>> 5544(x^2+y^2)+266382] - 720^3
>>>
>>>
>>> [also see https://arxiv.org/pdf/1504.06733.pdf pg. 21]
>>>
>>
>> Please do not use this 3d-look text (that even throws shadows) with 
>> this image. Besides that it IMHO does not look good it is more 
>> importantly very hard to read.
> 
> Oh! I liked it.

Me too, but I must agree with Ive here. I would also add (sorry for 
this) that the object texture is misleading: it looks like a 3D surface, 
curved towards the viewer, while it is flat in reality. It took me a 
while before I understood what I was looking at.

-- 
Thomas


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