.............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 50yearatCaltechcelebrationLunch,
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 EMAIL to MAMIKON
