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Basic Math/Mirrored Numbers - (Exact Replica of the Number) - Optics & Real Life Use ?

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Question
Dear Abe

What i observe by looking at the Numeric Whole Numbers(Integers) in Mirror (Glass) Object are the Mirrored Numbers (Exact Replica of the Number as seen in Mirror)

0,1,8,11,88,101 .... series. (I am considering Number One shape as a Vertical Line)

Similar to applications of prime numbers, Fibonacci numbers in real life,this series could be useful in physics - optics, real life etc ?

Note :

Non Mirrored Numbers series will be :

2,3,4,5,6,7,9,10,12,13 ....

Reference : http://en.wikipedia.org/wiki/Number

Can this be considered a new class/set of number series similar to even, odd, prime, Fibonacci etc  ?

Thanks & Regards,
Prashant S Akerkar

Answer
Hello Prashant,

"Mirrored Numbers" have vertical symmetry.  I would definitely NOT classify such numbers
in any way similar to even, odd, prime, Fibonacci numbers, etc.

Even numbers, odds, primes, etc. are interesting due to their inate properties, independent
of how they are written (aesthetically).  Being symmetric (or "mirrored") is dependent on
the arbitrary way the number is symbolized.  In other number systems the symmetries do not
necessarily follow.  For example...
1. 8 in base 2 is 1000, which is not symmetric
2. 88 in base 16 is 58, etc.
whereas, 7 is prime in any base!

Abe

Basic Math

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Abe Mantell

Expertise

Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

Experience

Over 15 years teaching at the college level.

Organizations belong to
NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.

Education/Credentials
B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook

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