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

[email protected] <mailto:[email protected]> 

https://wordpress.clarku.edu/nthompson/

 

 

From: Friam <[email protected]> On Behalf Of Frank Wimberly
Sent: Friday, June 5, 2020 8:07 PM
To: The Friday Morning Applied Complexity Coffee Group <[email protected]>
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

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