Thanks to Marc, I noticed that today's date is a palindrome in two different date formats—DMMYY (61016) and DMMYYYY (6102016).
This made me wonder when there will be another date that is palindromic in multiple date formats, so I wrote a Python script to find out.
Turns out there's not too long to wait: 10 July 2017 will be palindromic in two date formats (MDDYY and MDDYYYY). But before that, there's 1 July 2017, which is palindromic in three date formats (YYMMD, YYMD and MDYY). Most exciting of all, however, is 2 February 2020, which is palindromic in 7 different formats!
The next palindromic dates are shown in the following table. It will update as the dates pass.
|\(n\)||Next day with \(\geq n\) palindromic formats||Formats|
|1||2 October 2020||YYMMD|
|2||2 November 2020||YYMMDD,DDMMYY|
|3||2 January 2021||YYMMD,YYMD,MDYY|
|4||2 February 2022||YYYYMDD,YYMMD,YYMD,DMYY,MDYY|
|5||2 February 2022||YYYYMDD,YYMMD,YYMD,DMYY,MDYY|
|6||1 January 2211||YYMMD,DMYYYY,MDYYYY,YYMD,DMYY,MDYY|
A full list of future palindromic dates can be found here.
PhD thesis, chapter 2
Dragon curves II
Comments in green were written by me. Comments in blue were not written by me.