Software that makes placemats

Organise events to meet up and drink Port.
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jdaw1
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Re: Software that makes placemats

Post by jdaw1 » 22:09 Mon 09 Sep 2019

akzy wrote:
20:14 Mon 09 Sep 2019
I feel all the years of torment have had a terrible effect on me.
jdaw1 wrote:
17:55 Mon 09 Sep 2019
Where is this balance point? At a distance d past Offley, measured in radii, in Mathematica notation
Solve[{D[20/(d + 2)^2 - 2/d^2, d] == 0 && d > 0}, d]
That’s the real root of 9 d³ − 6 d² − 12 d − 8 = 0   ⇒   d ≈ 1.73, which is in happy optical agreement with the output.
Having a quick look at this, I notice that d~1.73~sqrt(3). Do you have any insight as to why this is the case?
Coincidence: d = (1 + 10^⅓ + 10^⅔) × 2/9; d² = (7 + 4×10^⅓ + 10^⅔) × 4/27 ≈ 3.00138.

akzy
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Re: Software that makes placemats

Post by akzy » 11:23 Tue 10 Sep 2019

Just a thought on a small modifier you could make to this package. Consider a dipole charge structure, (i.e. a closely spaced +ve and -ve charge, perhaps hidden in some text?) and you'd have magnetic dipole field lines!

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jdaw1
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Re: Software that makes placemats

Post by jdaw1 » 10:48 Wed 11 Sep 2019

At yesterday’s ’66 horizontal some claimed that the droplets resembled a uniflagellar haploid gamete produced by a male mammal (not quite the original phrasing).

For my taste such a gamete has a very clear boundary between head and tail. This is not true of these droplets, for which the thickness is linear in the distance along central path. So I disagree, but nonetheless do not wish such thing to be falsely perceived.

One possible change would be to increase the value of the parameter DropletsOuterWidthStart.

With DropletsOuterWidthStart = 0.48, as was true for the ’66 placemats
Image


With DropletsOuterWidthStart = 1.44:
Image


With DropletsOuterWidthStart = 2.16:
Image


With DropletsOuterWidthStart = 2.88:
Image


What’s the smallest value of DropletsOuterWidthStart such that the droplets don’t appear to be sperm cells?

Animated:
Image

DaveRL
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Re: Software that makes placemats

Post by DaveRL » 16:54 Wed 11 Sep 2019

To me the original don't look like sperm, which have a bulbous head and long wiggly tail. I prefer the original, but if there has to be a change would vote for the smallest change tolerable. I guess those that see the shapes as sperm have a wild time with Paisley Pattern. :)

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Re: Software that makes placemats

Post by PhilW » 09:17 Thu 12 Sep 2019

jdaw1 wrote:
22:09 Mon 09 Sep 2019
Coincidence: d = (1 + 10^⅓ + 10^⅔) × 2/9;
Which can be simplified to d = 2/(10^⅓ - 1)
(I don't think that helps in any way, nor is likely of much interest to anyone, but I noticed it could be simplified so...)

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Re: Software that makes placemats

Post by PhilW » 09:33 Thu 12 Sep 2019

jdaw1 wrote:
10:48 Wed 11 Sep 2019
What’s the smallest value of DropletsOuterWidthStart such that the droplets don’t appear to be sperm cells?
An observation; you have chosen to replace the arrow-headed lines with small linear shapes all heading towards one or more large circles. The impression may not only be a consequence of your linear shapes. However, presumably if we can replace the arrow-headed lines with sperm-like shapes, then we could potentially use many alternatives which might generate different interpretations - ants spring to mind as an example.

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jdaw1
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Re: Software that makes placemats

Post by jdaw1 » 09:58 Thu 12 Sep 2019

DaveRL wrote:
16:54 Wed 11 Sep 2019
To me the original don't look like sperm, which have a bulbous head and long wiggly tail. I prefer the original
Fully agree, but significantly many seem not to.

PhilW wrote:
09:17 Thu 12 Sep 2019
Which can be simplified to d = 2/(10^⅓ - 1)
Is the surdish denominator a simplification? Maybe — tastes differ.

PhilW wrote:
09:33 Thu 12 Sep 2019
An observation; you have chosen to replace the arrow-headed lines with small linear shapes all heading towards one or more large circles. The impression may not only be a consequence of your linear shapes. However, presumably if we can replace the arrow-headed lines with sperm-like shapes, then we could potentially use many alternatives which might generate different interpretations - ants spring to mind as an example.
The intention was ‘Droplets’, which fit the drinking theme. Surely we don’t want ants on the table, nor sperm.

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jdaw1
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Re: Software that makes placemats

Post by jdaw1 » 10:05 Thu 12 Sep 2019

Would shorter droplets work?
Image

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DRT
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Re: Software that makes placemats

Post by DRT » 10:28 Thu 12 Sep 2019

I'm beginning to regret mentioning this. What my comment was intended to convey is that the small part of my brain that still thinks like a 15 year old boy recognised something in this design that made him snigger. That was it really.



I believe it to be a scientific fact that all men above the age of 15 have this part of their brain.
"The first duty of Port is to be red"
Ernest H. Cockburn

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jdaw1
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Re: Software that makes placemats

Post by jdaw1 » 15:01 Thu 12 Sep 2019

Decision:
Image

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Re: Software that makes placemats

Post by DaveRL » 16:36 Thu 12 Sep 2019

DRT wrote:
10:28 Thu 12 Sep 2019
I believe it to be a scientific fact that all men above the age of 15 have this part of their brain.
True. My wife sighs, while my sons and I giggle. I'm a bad influence, apparently. :)

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jdaw1
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Re: Software that makes placemats

Post by jdaw1 » 18:43 Thu 12 Sep 2019

DaveRL wrote:
16:36 Thu 12 Sep 2019
True. My wife sighs, while my sons and I giggle. I'm a bad influence, apparently. :)
You reprobate! Obviously, obviously, this has never happened to me.

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jdaw1
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Re: Software that makes placemats

Post by jdaw1 » 10:02 Wed 18 Sep 2019

akzy wrote:
11:23 Tue 10 Sep 2019
Just a thought on a small modifier you could make to this package. Consider a dipole charge structure, (i.e. a closely spaced +ve and -ve charge, perhaps hidden in some text?) and you'd have magnetic dipole field lines!
Sorry, forgot to report. The structure of DropletsCharges has been changed to overload the position specification. As before it can be an integer, a WithinPage glass number; now also allowed is an array of the form [x y], in which [0 0] is bottom-left of the page. Which allows positive and negative charges to be very close: example, with four charges arranged as two dipoles at 90° to each other, the charges within each dipole being apart by 12pt = ⅙″ = 4.2⅓mm. (Separately, note the file size is 437kb, which drops to 106kb with /Droplets false def.)

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Re: Software that makes placemats

Post by akzy » 10:33 Wed 18 Sep 2019

jdaw1 wrote:
10:02 Wed 18 Sep 2019
Sorry, forgot to report. The structure of DropletsCharges has been changed to overload the position specification. As before it can be an integer, a WithinPage glass number; now also allowed is an array of the form [x y], in which [0 0] is bottom-left of the page. Which allows positive and negative charges to be very close: example, with four charges arranged as two dipoles at 90° to each other, the charges within each dipole being apart by 12pt = ⅙″ = 4.2⅓mm. (Separately, note the file size is 437kb, which drops to 106kb with /Droplets false def.)
The dipole example looks really sharp. Looking forward to seeing it in some placemats.

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jdaw1
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Re: Software that makes placemats

Post by jdaw1 » 12:15 Wed 18 Sep 2019

akzy wrote:
10:33 Wed 18 Sep 2019
The dipole example looks really sharp. Looking forward to seeing it in some placemats.
I don’t like it as much as the examples with isolated poles. YMMV.

For those wanting something like that, I did it in a slightly complicated way — numbers could have been used instead of formulae.

Code: Select all

/Droplets true def
/DropletsCharges [  % Length a multiple of 3: SheetNum or /All; position being either, type integer, the centre of the WithinPage circle, or array [x y]; charge being numeric; perhaps repeat.
	/All  {[MgnL 0.75 mul PageWidth MgnR sub 0.25 mul add 6 sub  PageHeight MgnB MgnT sub add 2 div      ]}  -1
	/All  {[MgnL 0.75 mul PageWidth MgnR sub 0.25 mul add 6 add  PageHeight MgnB MgnT sub add 2 div      ]}   1
	/All  {[MgnL 0.25 mul PageWidth MgnR sub 0.75 mul add        PageHeight MgnB MgnT sub add 2 div 6 sub]}  -1
	/All  {[MgnL 0.25 mul PageWidth MgnR sub 0.75 mul add        PageHeight MgnB MgnT sub add 2 div 6 add]}   1
] def  % DropletsCharges

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