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Is there a list somewhere of parametric surfaces that take three
parameters? I haven't put a lot of thought into it, but spheres,
cylinders and cones work. Thanks.
Mike
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On 8/13/2018 10:41 PM, Mike Horvath wrote:
> Is there a list somewhere of parametric surfaces that take three
> parameters? I haven't put a lot of thought into it, but spheres,
> cylinders and cones work. Thanks.
>
>
> Mike
Er, I mean solids, not surfaces.
Mike
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On 08/13/2018 10:41 PM, Mike Horvath wrote:
> Is there a list somewhere of parametric surfaces, er solids,
It seems to me that a math question would have a more appropriate place
than p.off-topic.
--
dik
Rendered 344576 of 345600 pixels (99%)
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On 8/13/2018 11:03 PM, dick balaska wrote:
> On 08/13/2018 10:41 PM, Mike Horvath wrote:
>> Is there a list somewhere of parametric surfaces, er solids,
>
>
> It seems to me that a math question would have a more appropriate place
> than p.off-topic.
>
>
If I could go back in time I would choose a different group.
Mike
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On 8/14/2018 3:23 AM, Mike Horvath wrote:
> On 8/13/2018 11:03 PM, dick balaska wrote:
>> On 08/13/2018 10:41 PM, Mike Horvath wrote:
>>> Is there a list somewhere of parametric surfaces, er solids,
>>
>>
>> It seems to me that a math question would have a more appropriate place
>> than p.off-topic.
>>
>>
>
> If I could go back in time I would choose a different group.
>
>
> Mike
Forgot to add a smiley.
:)
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On 14/08/2018 08:23, Mike Horvath wrote:
> On 8/13/2018 11:03 PM, dick balaska wrote:
>> On 08/13/2018 10:41 PM, Mike Horvath wrote:
>>> Is there a list somewhere of parametric surfaces, er solids,
>>
>>
>> It seems to me that a math question would have a more appropriate place
>> than p.off-topic.
>>
>>
>
> If I could go back in time I would choose a different group.
>
>
> Mike
Since it is OT
If I could go back in time I would choose a different life. ;)
--
Regards
Stephen
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On 08/14/2018 04:20 AM, Stephen wrote:
> On 14/08/2018 08:23, Mike Horvath wrote:
>> On 8/13/2018 11:03 PM, dick balaska wrote:
>>> On 08/13/2018 10:41 PM, Mike Horvath wrote:
>>>> Is there a list somewhere of parametric surfaces, er solids,
>>>
>>>
>>> It seems to me that a math question would have a more appropriate place
>>> than p.off-topic.
>>>
>>>
>>
>> If I could go back in time I would choose a different group.
>>
>>
>> Mike
>
>
> Since it is OT
>
> If I could go back in time I would choose a different life. ;)
I would choose to avoid the million dollar divorce (which was more money
than I had).
--
dik
Rendered 344576 of 345600 pixels (99%)
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Mike Horvath <mik### [at] gmail com> wrote:
> On 8/13/2018 10:41 PM, Mike Horvath wrote:
> > Is there a list somewhere of parametric surfaces that take three
> > parameters?
> Er, I mean solids, not surfaces.
I toyed with this a while back:
http://news.povray.org/povray.advanced-users/thread/%3Cweb.579fc21ee9f788f45e7df57c0@news.povray.org%3E/
Any parametric surface would become a parametric solid, given a variable third
parameter, since - using the sphere for example, you'd have the r value of the
radius.
Varying the radius from 0 to unity would give you a solid sphere.
But "solids" in POV-Ray are really only surfaces with insides and outsides,
aren't they...?
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Am 14.08.2018 um 14:21 schrieb Bald Eagle:
> Mike Horvath <mik### [at] gmailcom> wrote:
>> On 8/13/2018 10:41 PM, Mike Horvath wrote:
>>> Is there a list somewhere of parametric surfaces that take three
>>> parameters?
>
>> Er, I mean solids, not surfaces.
>
>
> I toyed with this a while back:
>
http://news.povray.org/povray.advanced-users/thread/%3Cweb.579fc21ee9f788f45e7df57c0@news.povray.org%3E/
>
> Any parametric surface would become a parametric solid, given a variable third
> parameter, since - using the sphere for example, you'd have the r value of the
> radius.
> Varying the radius from 0 to unity would give you a solid sphere.
>
> But "solids" in POV-Ray are really only surfaces with insides and outsides,
> aren't they...?
Technically, "solids" in POV-Ray are objects with...
(1a) a well-defined surface,
(1b) an algorithm to compute the intersection points between a ray and
said surface, as well as the surface normals at those points
(2a) a well-defined volume,
(2b) an algorithm to compute whether a given point in 3D space is inside
said volume
3-parametric solids would generally satisfy (1a) and (2a) (except in
pathological cases), but for the general case I guess (1b) and (2b)
would effectively boil down to generating an approximate mesh representaion.
If the 3-parametric equation does not "fold back" into itself, the
surface of the solid can also be modeled using six 2-parametric surfaces.
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