Electrical Engineering/Concentric shapes.

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Question
Dear Prof Cleggsan

en.wikipedia.org/wiki/Concentric


Other then Concentric circles, spheres. semi circles , which other circular shapes can be constructed concentric ?.



As a example - Concentric cone, Inverted Concentric cone, concentric parabola, concentric ellipse, concentric hyperbola etc ?.



Also can we also have concentric shapes for Lines shapes viz Kite, Trapezoid, Rhombus, Parallelogram etc



Thanks & Regards,
Prashant S Akerkar

Answer
This is a question more for a math expert is it not?

I looked at a few google searches for you and found that their are many math models that provide for calculating and constructing geometric models of various concentric forms.  I did not take time to look for all of those you proposed; I will leave that for your exercise.  However, it seems to me, my opinion only, that you could construct a concentric version of almost any object once you can define its axis. I suppose you could generate some pretty exotic looking objects doing these various exercises!

In electrical engineering there are convolutions used in telecommunications that are centered on a frequency or other domain axis and then convolved around the center which produces spectrum which are very much like you are supposing.  These are mostly outgrowths of applications using the Maxwell equations for electrical and electromagnetic propagation and processing models.

Best wishes.  

Electrical Engineering

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cleggsan

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All technical areas of Electronics Engineering.

Experience

BSEE, MBA, Design, R&D, University Research.
Senior Life Member of IEEE. Life Fellow of AES.

Organizations
IEEE, Consumer Electronics Society, Audio Engineering Society.
Broad teaching experience; work experience mostly in consumer electronics and conversion from analog to digital technologies. Pioneer in digital audio at all levels.

Education/Credentials
BSEE (Equiv) BYU BSEE University of North Dakota MSBA (MBA) Illinois State University Graduate Studies in Computer Science - Bradley University Graduate Studies - Ohio University Graduate Studies - University of Missouri Kansas City DeVry Tech - Electronics

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