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From: Orchid XP v8
Subject: My first nomogram
Date: 28 Jun 2008 12:07:54
Message: <486661da@news.povray.org>
OK, so I realise that nobody else is going to be nearly as excited about 
this as I am, but... after about an hour of PostScript coding, I was 
able to construct a nomogram that correctly expresses the relationship 
"X+Y=Z".

That is, pick any pair of variables, pick values for these, draw a 
straight line such that it passes through the values you picked on the 
appropriate axies, and the point where it passes through the third axis 
indicates the correct value for the third variable.

That was *so* worth it, eh? ;-)

Most of the hour was spent tracking down glitches in my PostScript 
coding (e.g., making a loop count from 100 to 1 in steps of +1), and 
tweaking the asthetics of the page (I know, I'm fussy).

-- 
http://blog.orphi.me.uk/
http://www.zazzle.com/MathematicalOrchid*


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Attachments:
Download 'nomogram-linear1.pdf' (4 KB)

From: Stephen
Subject: Re: My first nomogram
Date: 28 Jun 2008 12:21:05
Message: <a7pc64509h0tmft7std5bt5glclm18oht1@4ax.com>
On Sat, 28 Jun 2008 17:07:53 +0100, Orchid XP v8 <voi### [at] devnull>
wrote:

>OK, so I realise that nobody else is going to be nearly as excited about 
>this as I am, but... after about an hour of PostScript coding, I was 
>able to construct a nomogram that correctly expresses the relationship 
>"X+Y=Z".

Nice and clean. Now one for multiplication.
-- 

Regards
     Stephen


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From: Warp
Subject: Re: My first nomogram
Date: 28 Jun 2008 12:53:33
Message: <48666c8d@news.povray.org>
I don't get it.

-- 
                                                          - Warp


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From: Orchid XP v8
Subject: Re: My first nomogram
Date: 28 Jun 2008 13:34:57
Message: <48667641$1@news.povray.org>
Stephen wrote:

> Nice and clean. Now one for multiplication.

My dear boy, do you have *any idea* how awkward it is to draw a 
logarithmic scale so all the numbers are readable?

At the bottom of the scale, the distance from 1 to 2 is big enough to 
fit a parking lot in. But higher up, the distance between (say) 9 and 10 
is so tiny you can bearly fit the numbers on without them overlapping. 
It's really frustratingly tricky to pick an arrangement of labels and 
tick marks that looks "nice and clean".

-- 
http://blog.orphi.me.uk/
http://www.zazzle.com/MathematicalOrchid*


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From: Orchid XP v8
Subject: Re: My first nomogram
Date: 28 Jun 2008 13:41:23
Message: <486677c3$1@news.povray.org>
Warp wrote:
>   I don't get it.

You're not missing much...

This nomogram serves no real useful purpose beyond demonstrating that I 
managed to make a working nomogram.

-- 
http://blog.orphi.me.uk/
http://www.zazzle.com/MathematicalOrchid*


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From: Stephen
Subject: Re: My first nomogram
Date: 28 Jun 2008 13:55:50
Message: <souc6458l020f627r4qa77fsuiraavgcuf@4ax.com>
On Sat, 28 Jun 2008 18:34:57 +0100, Orchid XP v8 <voi### [at] devnull>
wrote:

>
>My dear boy, do you have *any idea* how awkward it is to draw a 
>logarithmic scale so all the numbers are readable?

Isn't that what computers are for? Anyway Napier managed to do it by
hand. Have a look at a slide rule. 

http://web.mat.bham.ac.uk/C.J.Sangwin/Sliderules/mannheim.pdf

http://web.mat.bham.ac.uk/C.J.Sangwin/Sliderules/fullrule.pdf


Also see
http://web.mat.bham.ac.uk/C.J.Sangwin/Sliderules/nonlogrule.pdf
-- 

Regards
     Stephen


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From: Orchid XP v8
Subject: My second nomogram
Date: 28 Jun 2008 14:07:56
Message: <48667dfc$1@news.povray.org>
Stephen wrote:

> Nice and clean. Now one for multiplication.

Here ya go...

Could possibly start marking off 1/20ths near the bottom of each octave 
- but the tick marks would have to be increadibly narrow. Doesn't seem 
worth it. I already had to make the major marks wider to make the 
distinction between the 3 different levels of ticks clearer. I've spent 
ages tinkering with this thing!

-- 
http://blog.orphi.me.uk/
http://www.zazzle.com/MathematicalOrchid*


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Attachments:
Download 'nomogram-log1.pdf' (6 KB)

From: Stephen
Subject: Re: My second nomogram
Date: 28 Jun 2008 14:37:14
Message: <h61d64d1bkpq93af830mu6hnsol47bg2k6@4ax.com>
On Sat, 28 Jun 2008 19:07:56 +0100, Orchid XP v8 <voi### [at] devnull>
wrote:

>Stephen wrote:
>
>> Nice and clean. Now one for multiplication.
>
>Here ya go...

Well done and fast too, I'm impressed.
-- 

Regards
     Stephen


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From: Orchid XP v8
Subject: Re: My second nomogram
Date: 28 Jun 2008 14:44:51
Message: <486686a3$1@news.povray.org>
Stephen wrote:

> Well done and fast too, I'm impressed.

Heh. The linear one was posted at a little after 5, the logarithmic a 
little before 7. So only, oh, 2 *hours* to get it right. :-S

Anyway, does it look classy enough yet? ;-)

-- 
http://blog.orphi.me.uk/
http://www.zazzle.com/MathematicalOrchid*


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From: Warp
Subject: Re: My first nomogram
Date: 28 Jun 2008 15:07:16
Message: <48668be4@news.povray.org>
Orchid XP v8 <voi### [at] devnull> wrote:
> Warp wrote:
> >   I don't get it.

> You're not missing much...

> This nomogram serves no real useful purpose beyond demonstrating that I 
> managed to make a working nomogram.

  What I don't get is why you posted it here, really. Is it something
interesting, amusing, informative or in some way special? What's the
purpose of posting it? Is there anything there anyone can get something
from? I just don't understand.

-- 
                                                          - Warp


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