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Give me Spirals!

Posted: Wed Oct 01, 2014 3:25 pm
by peter
What is it about spirals that is so satisfying to the human eye. Sure I've heard the thing about the golden ratio, how the spiral represents a constantly repeated motif throughout nature, how it represents an economy of form, strength and structure that has no equal - but damn, none of that even comes close. When I look at a spiral I just feel good about it. It is infinite - you just know it is going to keep on doing it's 'spiral thing' untill the end of time. There are loads of different kinds [Euler, Archimidean, Hyperbolic ....etc, etc] all doing there own different thing. Can we start a collection of spirals - go on, pitch one in and make an old[ish] man happy! Try to present the best spiral picture in town!

Posted: Wed Oct 01, 2014 4:14 pm
by aliantha
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Posted: Wed Oct 01, 2014 5:01 pm
by wayfriend
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Posted: Wed Oct 01, 2014 5:06 pm
by michaelm
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Posted: Wed Oct 01, 2014 6:02 pm
by Vader
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Posted: Wed Oct 01, 2014 6:43 pm
by Hashi Lebwohl
spirals at WolframAlpha. Mostly equations but some graphs. You can also copy/paste and equation, drop it in the search bar, and it will graph the result for you.

Posted: Wed Oct 01, 2014 7:18 pm
by wayfriend
Heighway Dragon is utterly cool when you read how it's made. It has so many neat properties, and it's a fractal, too.

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Posted: Wed Oct 01, 2014 7:31 pm
by Frostheart Grueburn
aliantha wrote:
Tut. You if anyone ought to have known where to unearth the real paths to otherworlds!

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And the "ghetto version" from Tara, but hardly less significant:

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Also what is "old-ish" these days? I call myself young and reaching mid-thirties. And I keep telling to someone else here no to call themselves old either... :P

Posted: Thu Oct 02, 2014 1:38 am
by aliantha
Mine was the best Google could do on short notice. :lol:

Posted: Thu Oct 02, 2014 2:35 am
by Sorus
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Posted: Thu Oct 02, 2014 4:26 am
by Avatar
Nice ones guys. WF's first was the most striking though. My eyes nearly fell out. :D

--A

Posted: Thu Oct 02, 2014 4:52 pm
by peter
Wow! Result or what! WF's has my eyes dancing with spots. There's galaxies and edible spirals and spirals that are shaman shaped on lintels of stone {I have one of these near where I live}. There's maths and mandelbrots and Ali's potential tat.

Are helices and spirals related? Helices are cool too - I feel an intimate connection at an almost 'cellular' level with them. ;)

Gratitude guys - if you come across any more on your cyber-travels would you add them to the collection!

Posted: Thu Oct 02, 2014 5:24 pm
by Vraith
Le Pétermane wrote:
Are helices and spirals related? Helices are cool too
Yes. A helix has to happen
in 3d [at least]. And there are a lot more helices.
Because any and all 2d spirals can be extended into a 3d helix
...but not all helices can be compacted into a 2d spiral.
[For instance a normal spring is a helix...
but if you compact it into 2d from the "top down"
[perpendicular] you end up with a circle. If you compact
it at an angle, you end up with a wave shape.
[[I'm pretty sure that is correct, even though I'm
probably not using "compacted" in a technically
correct way]]

Posted: Thu Oct 02, 2014 8:58 pm
by wayfriend
This is _not_ an animated gif.

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Posted: Thu Oct 02, 2014 9:12 pm
by Sorus
Gah! I think it tried to hypnotize me.

Posted: Fri Oct 03, 2014 12:35 am
by aliantha
That's wild. 8O

Posted: Fri Oct 03, 2014 1:14 am
by sgt.null
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Posted: Fri Oct 03, 2014 8:26 am
by peter
This thread is made for you Sarge! And Pasta! :yourock:

Posted: Fri Oct 03, 2014 6:04 pm
by Vader
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Posted: Fri Oct 03, 2014 8:30 pm
by MsMary
wayfriend wrote:This is _not_ an animated gif.

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Clearly.

It doesn't move.