I don’t understand how does this method of doubling the root estimate and then finding the largest multiple you can make before going over give you more digits of the root?
A message to "A C" - hey I got your comment and was able to access your awesome documentation! Really great stuff! Wanted to chat with you, but now the comment is gone and I can't for the life of me figure out how to reach ya. Help! :)
Hello Wes, for some reason RUclips deleted my original comment (because it included a link to a document, perhaps?). I’m glad you got to see the sheet, I had lots of fun writing it. Yeah, let’s chat!
The limit here is that you only have 11 digits that you can use in the setting register. On a Curta 1 they only have space for 8 digits so you could only find out 16 digits by doing this. After multiplying by your known digits then doubling that value and using this method you almost always double the number of known digits. So he could start with 2 known (rough estimate) do this then figure out an answer to 4 digits, use that new value and this method to find out 8, repeat as necessary. If there was a Curta that had 12 setting digits you could find the answer to 24 significant digits no problem. You could also use the now known 22 digits to go as far as calculating to 44 digits by hand if you really wanted to.
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Beautiful little algorithm
Thanks!
I’m learning to do this on an Odhner. 🖖
That's friggin amazing!!
this helped me learn it, really cool!!
Hey great to hear, and thanks!
I don’t understand how does this method of doubling the root estimate and then finding the largest multiple you can make before going over give you more digits of the root?
A message to "A C" - hey I got your comment and was able to access your awesome documentation! Really great stuff! Wanted to chat with you, but now the comment is gone and I can't for the life of me figure out how to reach ya. Help! :)
Hello Wes, for some reason RUclips deleted my original comment (because it included a link to a document, perhaps?). I’m glad you got to see the sheet, I had lots of fun writing it. Yeah, let’s chat!
So is there any specific reason you stopped at 22 digits or could you theoretically continue this algorithm further?
The limit here is that you only have 11 digits that you can use in the setting register. On a Curta 1 they only have space for 8 digits so you could only find out 16 digits by doing this. After multiplying by your known digits then doubling that value and using this method you almost always double the number of known digits. So he could start with 2 known (rough estimate) do this then figure out an answer to 4 digits, use that new value and this method to find out 8, repeat as necessary.
If there was a Curta that had 12 setting digits you could find the answer to 24 significant digits no problem. You could also use the now known 22 digits to go as far as calculating to 44 digits by hand if you really wanted to.