World!Of Numbers		HOME plate WON |
John Abreu's Palindrome Puzzle

Across  Down		To give you a helping hand in solving this puzzle feel free to use this JavaScript fill-in board. Press the button to extract and study the Down/Across numbers. Enjoy the puzzle!

In order to have my puzzle well stated let us define the concept of  Down/Across Addition.
For that we use the following example :

7 8 9 | 4 4 5 6 | 7 + 1 2 3 | 7 ———— 1 3 6 8

Given the numbers 789, 456 and 123, the Down/Across Addition is the couple [ 1368 , 774 ]. The first member of the couple 1368 being the ordinary sum of the three numbers written from top to bottom in the same order as they were given. To obtain the second member of the couple 774 rotate the paper 90 degrees to the right and then add. In the example on the left the result is to be read from bottom to top.

P U Z Z L E

[A] Enter the integers from 1 through 9 in a (3 x 3) array so that the Down/Across Addition gives : [ A palindrome , The square of a palindrome ] [B] Enter the integers from 1 through 9 in a (3 x 3) array so that the Down/Across Addition gives : [ A palindrome , Twice the palindrome ] [C] Enter the integers from 1 through 9 in a (3 x 3) array so that the Down/Across Addition gives : [ A palindrome , A palindrome ] In each of the puzzles there could be more than one solution. I hope you enjoy these puzzles and... by the way, do not forget to use all integers from 1 through 9 just once. If you don't follow the rules with the board an alert message will remind them to you !