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…)

6 thoughts on “Some Christmas reading and a palindrome”

1. Deepak Murugan

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

• Staffan

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

2. f

111*111 = 12321 -> 12321 = 111 * 111
111111*111111 = 12345654321 -> 12345654321 = 111111 * 111111

3. prateek

10*10=100; 001=01*01;
11*11=121;121=11*11
12*12=144;441=12*12
13*13=169;31*31=961

4. prateek

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..

5. Mya

i dont understand i thot these were supposed to be xmas palindromes

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