|
.............In
appreciation of the gracious donation of Professor Basil
Gordon (UCLA) to my works, I dedicate the following results
to him. These observations were initiated by his remarks,
about the proportions of the circular Optimal Cylinder,
during the Apostol's 50-year-at-Caltech-celebration-Lunch,
Caltech , Athenaeum, October 4, 2000.
|
|
Optimal
Cylinder provides Maximal Volume
for given
Total Surface Area.
For circular
Base, its Height equals the diameter of the Base (Classical
Case)
|
|
Here is my
"Basilic" generalization of this classical problem:
If the Base
has a given Shape, which is arbitrary, but fixed,
what are the
"proportions" of such Optimal Basilar Cylinder?
Specific cases have
interesting interpretations too: when the
Base is polygon, particularly
circumscribed around a circle.
|
|
If you
are interested in my
Simple
SOLUTION and Insightful A N S W E R or
further
explorations click here to E-MAIL to MAMIKON
|