Some Christmas reading and a palindrome

I got this tip from Dr. Staffan Gustafsson at CogniCatus:

Further on, anyone knows some more fun, mathematical palindromes like this one:

  • 13*13 = 169 –> 961 = 31*31

(No! 1 * 2 = 2 –> 2 = 2 * 1 is not funny…)

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6 thoughts on “Some Christmas reading and a palindrome

  1. For mathematical palindromes, I could figure out 12 * 12 only. I dont think any other 2 digit number will have this property.

    • Write a script and check. Maybe you can find mathematical symetries that no one ever before have seen.

  2. 111*111 = 12321 -> 12321 = 111 * 111
    111111*111111 = 12345654321 -> 12345654321 = 111111 * 111111
    what about this

  3. 01*01 = 001 ; 100 = 10*10

    02*02 = 004 ; 400 = 20*20

    03*03 = 009 ; 900 = 30*30

    —————————–

    10*10 = 100 ; 001 = 01*01

    11*11 = 121 ; 121 = 11*11

    12*12 = 144 ; 441 = 21*21

    13*13 = 169 ; 961 = 31*31

    —————————-

    100 * 100 = 10000 ; 00001 = 001*001

    101*101 = 10201 ; 10201 = 101*101

    102*102 = 10404 ; 40401 = 201*201

    103*103 = 10609 ; 90601 = 301*301

    ——————————

    110*110 = 12100 ; 011*011 = 00121

    111*111 = 12321 ; 12321 = 111*111

    112*112 = 12544 ; 44521 = 211*211

    113*113 = 12769 ; 96721 = 311*311

    ———————————-

    so there’s a pattern

    similarly for 1000 -1003, 1010-1013, 1100-1103,—————–

    goes on and on and on…..

    this was one : there s another kinda pattern too

    1*X = X ; X = X*1 for all X

    10*X = X0 ; 0X = X*01 for all X

    11*AB.. = XYZ.. ; ..ZYX = ..BA*11

    for AB.. being element of 0-18 or 100-118 or 1000-1018 and so on

    12*AB.. = XYZ.. ; ..ZYX = ..BA*21

    for AB.. being element of 0-4 or 10-14 0r100-104 or 110-114 and so on..

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