[FRIAM] Manifold Clarification

[Frank Wimberly]

Recall that I said that if the envelope of a cloud could be defined and
specified it would probably be a manifold.  "Envelope" is a mathematical
concept.

---
Frank C. Wimberly
140 Calle Ojo Feliz,
Santa Fe, NM 87505

505 670-9918
Santa Fe, NM

On Fri, Jun 5, 2020, 9:47 PM <thompnickson2 at gmail.com> wrote:

> So, Frank.  Think of the coast of England/Scotland.  It is infinitely
> indented.  Anytime we draw a map of it, we enclose every point on that
> coast line and an area that is not within that coastline.  So, wrap England
> in plastic film and pull the film as tight as we can.  We have a shroud.
> Is there a mathematical name for that?  OK, now, let the plastic be
> infinitely flexible, and let us suck all the air out of the space between
> the shroud and the coastline.  What do we have now?  Is there a
> mathematical name for that?
>
>
>
> Let me give them both names.  Let me call one a shroud and the other a
> super shrink wrap.  I can imagine some mathematician, just for the hell of
> it, spending a life time working out what the area is between the shroud
> and the super shrink wrap.  And then, having worked all that out, claiming,
> as do you, that none of these entities, shroud, ssw, or area between, exist
> in nature.  They are mathematical objects, only.
>
>
>
> Which is why Hywel used to say what he used to say about mathematics. Am I
> write about any of this?
>
>
>
> Nick
>
>
>
> Nicholas Thompson
>
> Emeritus Professor of Ethology and Psychology
>
> Clark University
>
> ThompNickSon2 at gmail.com
>
> https://wordpress.clarku.edu/nthompson/
>
>
>
>
>
> *From:* Friam <friam-bounces at redfish.com> *On Behalf Of *Frank Wimberly
> *Sent:* Friday, June 5, 2020 8:07 PM
> *To:* The Friday Morning Applied Complexity Coffee Group <
> friam at redfish.com>
> *Subject:* [FRIAM] Manifold Clarification
>
>
>
> I said that no physical object is a manifold.  This may be a better answer
> to Nick's question.  The envelope of a cloud, if it could be defined, might
> be a manifold depending on cusps etc.  Those might be handled by combining
> manifolds of different dimensions.  This would not be a realizable project
> in my opinion.
>
>
>
> Frank
>
> ---
> Frank C. Wimberly
> 140 Calle Ojo Feliz,
> Santa Fe, NM 87505
>
> 505 670-9918
> Santa Fe, NM
> - .... . -..-. . ...- --- .-.. ..- - .. --- -. -..-. .-- .. .-.. .-..
> -..-. -... . -..-. .-.. .. ...- . -..-. ... - .-. . .- -- . -..
> FRIAM Applied Complexity Group listserv
> Zoom Fridays 9:30a-12p Mtn GMT-6  bit.ly/virtualfriam
> un/subscribe http://redfish.com/mailman/listinfo/friam_redfish.com
> archives: http://friam.471366.n2.nabble.com/
> FRIAM-COMIC http://friam-comic.blogspot.com/
>
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://redfish.com/pipermail/friam_redfish.com/attachments/20200605/09cd6ad8/attachment.html>