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**MathsIsFun****Administrator**- Registered: 2005-01-21
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"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,092

hi MathsIsFun

Works for me. And very useful.

I suppose a useful addition for me would be a way to vary the scales and grid lines to custom for any application.

And I've been looking (for a long time) for a triangular grid maker. If you've got a spare minute

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,392

Hi;

Works well.

**In mathematics, you don't understand things. You just get used to them.I have the result, but I do not yet know how to get it.All physicists, and a good many quite respectable mathematicians are contemptuous about proof.**

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,529

bob bundy wrote:

And I've been looking (for a long time) for a triangular grid maker. If you've got a spare minute

Equilateral? Same scale for all three sides?

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**gAr****Member**- Registered: 2011-01-09
- Posts: 3,462

Hi,

How about having logarithmic scales too?

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,092

hi MathsIsFun,

Equilateral?

Well that's what is in my head; but being able to move one set of parallels to a different angle would be handy.

Same scale for all three sides?

For me, no scale at all, just the grid. I was thinking of diagrams like isometric drawings and tesselations.

It's my one disappointment about Sketchpad. I made a master by setting 60 angles and using lots of parallels but it isn't very flexible. (such as changing the distances)

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**MathsIsFun****Administrator**- Registered: 2005-01-21
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gAr wrote:

How about having logarithmic scales too?

I was afraid someone would ask about this.

Bob: I will see what I can do

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,392

Hi MIF;

I was afraid someone would ask about this.

Then I am not going to ask about log log scales.

**In mathematics, you don't understand things. You just get used to them.I have the result, but I do not yet know how to get it.All physicists, and a good many quite respectable mathematicians are contemptuous about proof.**

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**John E. Franklin****Member**- Registered: 2005-08-29
- Posts: 3,552

Can you add a box for x and y that specifies how far between each visible line, so you can

make the lines wickid close together like 4mm if you want to. I don't know enough

about programming to worry about whether some squares will be say 16 pixels apart and others 17 pixels apart, and if you can avoid this, and some printers are 600 dpi, etc. It's over my head right now.

**igloo** **myrtilles** **fourmis**

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,092

hi MathsIsFun

MIF wrote:

Bob: I will see what I can do

Thank you. That is very kind of you.

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**MathsIsFun****Administrator**- Registered: 2005-01-21
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New version! Now has log scales ... have I chosen good names? "x log", "y log", "log log" ?

Also for Mr Bundy, Esquire I have made a triangle. Just one triangle. Not much I know, but it is a start.

Remember to use refresh, look for "version 0.85".

Comments?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,392

Hi MathsIsFun;

I am happy.

**In mathematics, you don't understand things. You just get used to them.I have the result, but I do not yet know how to get it.All physicists, and a good many quite respectable mathematicians are contemptuous about proof.**

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**gAr****Member**- Registered: 2011-01-09
- Posts: 3,462

Hi MathsIsFun,

Looks good!

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,092

hi MathsIsFUN

Also for Mr Bundy, Esquire I have made a triangle. Just one triangle. Not much I know, but it is a start.

Arrhhh, sigh etc. That's great.

"Mighty oaks from little acorns grow"

Bob

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**MathsIsFun****Administrator**- Registered: 2005-01-21
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"Mighty acorns from our oaks grow" (the gene-centered view).

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,092

"Deep meanings from little sentences."

But if you're going to be recursive, perhaps you should make a fractal, triangular grid.

Bob

*Last edited by bob bundy (2011-05-19 22:09:15)*

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,092

hi MathsIsFun,

I've been having a think, and looking at your triangle. You have undersold yourself. I make that 315 triangles; but I may be wrong! (Challenge for someone?).

Now suppose we go back to the standard square grid, with normal scales.

Would it be easier to slant the y axis so that it makes a parallelogram-based grid? From there is would be easy to adapt it, once printed, to make what I am looking for; but would also be useful for things like transformation geometry.

Bob

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**gAr****Member**- Registered: 2011-01-09
- Posts: 3,462

Hi bob,

I've been having a think, and looking at your triangle. You have undersold yourself. I make that 315 triangles; but I may be wrong! (Challenge for someone?).

http://oeis.org/search?q=1%2C5%2C13%2C27%2C48&language=english&go=Search

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,092

hi again, gAr

Thanks for the link. I'll claim that figure is correct then (?)

Bob

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**gAr****Member**- Registered: 2011-01-09
- Posts: 3,462

Hi Bob,

You're welcome.

Yes, it is correct, since the tenth term of the sequence is 315.

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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**John E. Franklin****Member**- Registered: 2005-08-29
- Posts: 3,552

Wow! I learn something everyday. The latest is the nine line groupings in the log/log grid. Wow, I guess I never counted them before, would have guessed 10, but nope, nine. No zero.

**igloo** **myrtilles** **fourmis**

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,529

bob bundy wrote:

I've been having a think, and looking at your triangle. You have undersold yourself. I make that 315 triangles ...

Doh!

bob bundy wrote:

Would it be easier to slant the y axis so that it makes a parallelogram-based grid?

Unfortunately not easy ... would need to rewrite a lot of code ... but I will have a look soon.

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,092

hi MathsIsFun

Please don't spend a lot of time on it. I can get by without. I'm sure there are more important things for you to do.

But thanks anyway,

Bob

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,529

Hi Bob,

Just to get an idea of what you want I have another option called "skewed". (Note: the grid doesn't respond to any options).

Is this heading in the right direction?

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,092

hi MathsIsFun,

I think so. Is this skewed idea still 'in your head' because the link still gives me the 'triangle' version?

The 'shot' below is something I did in 'Notebook' some years ago. I had to 'weld' together several sets of dots to get that. And what I really wanted was lines, not dots, but it was the best I could manage at the time.

Your triangle version is already superior to what I did, even if you took it no further.

Bob

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