Integer Square 1 to 100

Walking the beira mar here in Sao Jose, SC. Keeping my mind busy during the fake virus scare / Bank Robbery.   This entire entry is about what I am learning from calculating the squares of the numbers 0 through 100 mentally as I walk the beira mar.  First thing you see is that the lowest 2 digits are limited in their values and cyclical. 

  The last two digits are only unique up to 24. The numbers are: