Ed, 



    Sounds promising. I'll make a diagram and work on your design as an 
alternative to the first solution. 



    There are many promising layouts that could be applied to tree architecture 
that we can investigate which make use of principles in plane and solid 
geometry. Problem#18 will illustrate the solution of a problem that utilizes a 
drawing straight out of one of my old geometry books. 



Bob 




----- Original Message ----- 
From: "Edward Frank" <[email protected]> 
To: [email protected] 
Sent: Saturday, March 14, 2009 2:04:09 AM GMT -05:00 US/Canada Eastern 
Subject: [ENTS] Re: Problem#16 


Bob, 

You know you could measure the azimuth to the base of the trunk of tree from a 
measuring point using a compass or most GPS units.  From that same point you 
could measure the sin bottom and determine the horizontal and vertical distance 
from the measuring point to the base of the trunk.  Then from the same position 
a series of measurements could be made in a vertical line upward from the base 
of the trunk to the edge of the tree canopy facing you. Instead of shooting 
back into the tree to find the farthest point, you would want to measure 
the leaves sticking out the most toward you.  The position of each of these 
poets on the surface of the canopy could be determined in relation to the base 
of the trunk.  This measurement could be repeated from several points around 
the tree and a 3D map of the surface of the crown could be created if you had 
sufficient numbers of measurements.  The numbers needed to solve your equation 
could be calculated from a plot of the canopy surface of the tree. 

Ed 


----- Original Message ----- 
From: [email protected] 
To: [email protected] 
Sent: Monday, March 09, 2009 6:48 PM 
Subject: [ENTS] Problem#16 





Ed, Larry, Don, et. al, 



     The solution we were searching for is attached (I think). The challenge is 
to develop a protocal for obtaining the measurements. The protocal will require 
our collective input. Naturally I have ideas, to share, but this needs to be a 
community effort. If we can settle on a process, I can automate it in the usual 
way. 



Larry, 



   I believe the solution in the attachment addresses your last concern. 



Bob   


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