>>10311587Okay, I think I figured it out (I don't actually have a proper set yet, so I was constructing lattices by hand).
BTW, the pic I used is a bit inaccurately constructed - the diagonals on the cube root stick is supposed to be between the 10's and the 100's.
So, take your example number, and segment into 3's starting at the 1's (so, left side of the decimal point). The suggestion is to place them underneath those numbers, and the left-most segment may be 1, 2, or 3 numbers in length. Alternatively, simply separate them. Underneath all that, place two parallel lines to keep your root separate. Leave space above and below the entire starting setup for operations - below is where you place the nearest cube for that segment, above is where you place the result of subtracting it (which then becomes the radicant).
The book example follows, but presplit and + to represent the dots. As in finding squares, this tells us the root is made of X whole numbers, with X being the number of dots.
22 022 635 627
_+__+___+__+
_____________
Now set up your board with space on both sides of the cube root stick (From now on, CRS). Left side will build up to read numbers, the right side will be cleared frequently.
Find the nearest lesser cube of your leftmost segment, and place the root under the dot. Directly underneath the root, place the cube. Subtract it from the segment, and place the result above the radicant.
14
22 022 635 627
_2___+__+__+
8
To the right of the CRS, place the Triple of the root so far discovered (Now designate A). To the left, place 3*(A^2).
12(CRS)6
From this, read the nearest lesser number and note it on some scratch paper or in a separate section. Above it, place a line. Above that line, and in line with the number, place the row it was read on, starting with the square (so a number read on the fourth line places 164, a number read on the ninth places 819).
Our example
__819
11529
(cont)