Alternative methods for finding palindromic numbers beyond the reversal/add technique include constructing them by concatenating a number with its reverse, such as forming 15244251 from 1524. While the reversal/add method can lead to palindromic numbers, some, like 196, remain non-palindromic even after extensive iterations. The discussion highlights the interest in exploring different algorithms or processes for generating palindromic numbers. Participants have noted that existing programs can automate the reversal/add approach and track the steps taken to achieve a palindrome. The quest for alternative methods continues, as current techniques may not yield results for all numbers.
