You are reading a single comment by @Adhiero and its replies. Click here to read the full conversation.
  • I feel a bit stupid.

    You and me both mate. (Edit- joke doesn’t quite work... apologies).

    Either way I think you've vastly underestimated it:

    Haha thanks for putting it politely, from what you’ve posted.

    G1 is 3↑↑↑↑3 = 3↑↑↑(3↑↑↑3). That is 3↑↑(3↑↑(3↑↑(3... this series of numbers is 3↑↑↑3 long and a ↑↑ operation is basically a power tower. At the end of the sequence, you've got 3²⁷, then you form a power tower that is 3²⁷ long, then a power tower that is that long, and so on. You repeat this 3↑↑↑3 times...

    Seems I missed a few power towers... The length of G1 sequence is 3↑↑↑3; is it correct that the length of each subsequent sequence would increase until G64 is reached?

  • is it correct that the length of each subsequent sequence would increase until G64 is reached?

    Unbelievably so. If we just add one arrow instead:

    3↑↑↑↑↑3 = 3↑↑↑↑(3↑↑↑↑3). We did 3↑↑↑↑3 above - that was the series of 3↑↑↑3 power towers. Now we do the four-arrow operation 3↑↑↑↑3 times!

    Instead of adding 1 arrow, to get G2 you increase the number of arrows to G1!

About

Avatar for Adhiero @Adhiero started