Cylindrical Sliding Rule

 From: Nicolinux 20 Nov 2017  (1 of 7)
 Hi, I'd like to create a cylindrical sliding rule [1]. For that I need to draw/position the numbers from 1 to 9 on the outer edge of a 360DEG circle spacing the numbers apart in a logarithmic fashion. Is there any tool that can help me with that? I thought about the deform tool with the projective mode but it didn't work (or I don't understand how it works). Thanks, Stefan [1] http://ratfactor.com/circular-slide-rule-watch-tutorial

 From: Michael Gibson 20 Nov 2017  (2 of 7)
 8690.2 In reply to 8690.1 Hi Nico, probably the easiest way is to use curve-to-curve flow. Create horizontal text, draw a line under your text and a circle off to the side. Then select your text (only the text, not the line under it or the circle) and run Transform > Deform > Flow. Then pick the line as the base curve and the circle as the target curve. See here for some examples of curve-to-curve flow: http://moi3d.com/3.0/docs/moi_command_reference8.htm#flow Also having the line be the same length as the circle circumference can be good to have better control of how it's going to be spaced on the circle. To do that you can draw your circle first and then create a line of the proper length using the UnwrapCurve plug-in from here: http://moi3d.com/forum/index.php?webtag=MOI&msg=5136.1 - Michael

 From: bemfarmer 21 Nov 2017  (3 of 7)
 8690.3 In reply to 8690.1 Hi nicolinux I did a little google searching, and despite my limited understanding, found the following: Re: C and D scales, which are logarithmic scales, base 10, and which are the same: The C and D scales on a sliderule, have a single "Decade", ranging from 1 to 10. (10 to 90 are also mentioned. but it seems zeros are dropped in some calculations.) ( The watches have divisions between 90 and 10, so a range of 1 to 10 seems appropriate, rather than 1 to 9...) The "10" at the far right of the C or D scales is shown as another "1". For a real number x, the distance from the "Start Point" to x is equal to log(x). (distance(x) = log(x).) The "Start Point" of the C and D scales is the number 1. This is because distance(1) = log(1) = 0. https://arxiv.org/ftp/arxiv/papers/1706/1706.04390.pdf log(2) = .30103 (approximately) log(3) = .47712 - Brian ps, the link has another link to a virtual sliderule. It has a few subdivisions below 1 and above 10, beyond the traditional ones. Also shows pips at 1.1 and 1.2, etc, which correspond to logs of 11 and 12, etc, minus 1. EDITED: 21 Nov 2017 by BEMFARMER

 From: bemfarmer 21 Nov 2017  (4 of 7)
 8690.4 In reply to 8690.3 So I would suggest a simple script to space short vertical lines along Michael source line, at these logarithmic distances. The numbers would be placed above for one set ( say C), and below for the other set (say D) - Brian Also to be placed would be secondary pips. This link talks of them, but is not very understandable, and has no pictures. http://calclab.math.tamu.edu/~fulling/m152/sliderul.html Michaels script LineWeb will make short lines between two lines, so all that would be need to be modified is the log spacing... Or a logarithmic "array"... EDITED: 21 Nov 2017 by BEMFARMER