It is possible to make an alternative 3-clock, where the numbers from 1 to 12 are expressed using exactly three times the digit 3. We make use in particular of the factorial, and of a repeating decimal:
1=3^(3-3); 2=(3+3)/3; 3=3-3+3; 4=3+3/3; 5=3!-3/3; 6=3x3-3; 7=3!+3/3; 8=(3!/3)^3; 9=3+3+3; 10=3x"3.3" (where we need to write not 3.3 but the periodic decimal 3+1/3 in an appropriate way); 11=33/3; 12=3x3+3.
It is possible to make an alternative 3-clock, where the numbers from 1 to 12 are expressed using exactly three times the digit 3. We make use in particular of the factorial, and of a repeating decimal:
1=3^(3-3); 2=(3+3)/3; 3=3-3+3; 4=3+3/3; 5=3!-3/3; 6=3x3-3; 7=3!+3/3; 8=(3!/3)^3; 9=3+3+3; 10=3x"3.3" (where we need to write not 3.3 but the periodic decimal 3+1/3 in an appropriate way); 11=33/3; 12=3x3+3.