User blog comment:Rgetar/Transfinite decimal fractions/@comment-36718579-20190417170035/@comment-32213734-20190417204625

I am inclined to think that

1/6 = 0.1666...6666...6666...... ≠ 0.1666...1666...1666......

Because 1/6 is a rational, and rationals should have finite period.

And if

1/6 = 0.1666...1666...1666......

then should be

1/10 = 0.1000...1000...1000......

But

1/10 = 0.1 = 0.1000...0000...0000...... ≠ 0.1000...1000...1000......

Though I'm still not sure how transfinite part of π begins. I'm not even sure that π is a real and have period ω.