Editing Talk:2121: Light Pollution

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[[User:AlanKilian|AlanKilian]] ([[User talk:AlanKilian|talk]]) 16:03, 8 March 2019 (UTC)
 
[[User:AlanKilian|AlanKilian]] ([[User talk:AlanKilian|talk]]) 16:03, 8 March 2019 (UTC)
 
:Six triangles form a hexagon - just an explanation for people with less mathematical or geometric knowledge. --[[User:Dgbrt|Dgbrt]] ([[User talk:Dgbrt|talk]]) 16:17, 8 March 2019 (UTC)
 
:Six triangles form a hexagon - just an explanation for people with less mathematical or geometric knowledge. --[[User:Dgbrt|Dgbrt]] ([[User talk:Dgbrt|talk]]) 16:17, 8 March 2019 (UTC)
::Sorry for thread necro, but isn't this obvious? Is there a deleted post here? [[Special:Contributions/172.69.214.20|172.69.214.20]] 01:54, 24 September 2020 (UTC)
 
 
::but a indefinite large group of triangles doesn't automatically transform to hexagons, since it could be overlapping hexagons, or hexagons with their interim spaces filled up by triangles?--[[User:Lupo|Lupo]] ([[User talk:Lupo|talk]]) 16:29, 8 March 2019 (UTC)
 
::but a indefinite large group of triangles doesn't automatically transform to hexagons, since it could be overlapping hexagons, or hexagons with their interim spaces filled up by triangles?--[[User:Lupo|Lupo]] ([[User talk:Lupo|talk]]) 16:29, 8 March 2019 (UTC)
 
:::Look at that hexagons (consisting of six triangles), each fitting to the next, and you will understand that this is only possible in a plane but not in a sphere. --[[User:Dgbrt|Dgbrt]] ([[User talk:Dgbrt|talk]]) 16:37, 8 March 2019 (UTC)
 
:::Look at that hexagons (consisting of six triangles), each fitting to the next, and you will understand that this is only possible in a plane but not in a sphere. --[[User:Dgbrt|Dgbrt]] ([[User talk:Dgbrt|talk]]) 16:37, 8 March 2019 (UTC)
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There is no way to know that the triangles shown are equilateral (in fact, as drawn here they're quite ''un''even). All 3D renderings are in fact assembled from uneven-sided triangles, including renderings attempting to approximate rounded surfaces. And yes, you can buy a ball tiled only with triangles; they're not even-sided, but you can't tell with the naked eye. Also, there ''is'' one roughly spherical shape tiled only with equilateral triangles: It's the shape found on a 20-sided die. Skyboxes intended to minimize viewing angle distortions use triangles that are very nearly, but not quite equilateral. In fact, ''all shapes'' that use flat planes to tile a sphere can be broken down into triangles of one degree of asymmetry or another. Your argument is invalid.  
 
There is no way to know that the triangles shown are equilateral (in fact, as drawn here they're quite ''un''even). All 3D renderings are in fact assembled from uneven-sided triangles, including renderings attempting to approximate rounded surfaces. And yes, you can buy a ball tiled only with triangles; they're not even-sided, but you can't tell with the naked eye. Also, there ''is'' one roughly spherical shape tiled only with equilateral triangles: It's the shape found on a 20-sided die. Skyboxes intended to minimize viewing angle distortions use triangles that are very nearly, but not quite equilateral. In fact, ''all shapes'' that use flat planes to tile a sphere can be broken down into triangles of one degree of asymmetry or another. Your argument is invalid.  
 
[[User:ProphetZarquon|ProphetZarquon]] ([[User talk:ProphetZarquon|talk]]) 22:51, 8 March 2019 (UTC)
 
[[User:ProphetZarquon|ProphetZarquon]] ([[User talk:ProphetZarquon|talk]]) 22:51, 8 March 2019 (UTC)
:Y'all need to stop arguing about the geometry and look at this picture of a (approximation of a) sphere made out of triangular pyramids: http://blog.zacharyabel.com/tag/spheres/&psig=AOvVaw2-zrroG1RBFI-t2GHyHt-9&ust=1552193238617042 [[User:Tplaza64|Tplaza64]] ([[User talk:Tplaza64|talk]]) 04:50, 9 March 2019 (UTC)
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:Y'all need to stop arguing about the geometry and look at this picture of a (approximation of a) sphere made out of triangular pyramids: https://www.google.com/url?sa=i&source=images&cd=&cad=rja&uact=8&ved=2ahUKEwjvhZHLoPTgAhXmhVQKHRLnDSwQjRx6BAgBEAU&url=http%3A%2F%2Fblog.zacharyabel.com%2Ftag%2Fspheres%2F&psig=AOvVaw2-zrroG1RBFI-t2GHyHt-9&ust=1552193238617042 [[User:Tplaza64|Tplaza64]] ([[User talk:Tplaza64|talk]]) 04:50, 9 March 2019 (UTC)
  
 
::Also note that we see just small part of sky there, so it's fully possible the few deformed/missing triangles are outside of what we see. -- [[User:Hkmaly|Hkmaly]] ([[User talk:Hkmaly|talk]]) 23:49, 8 March 2019 (UTC)
 
::Also note that we see just small part of sky there, so it's fully possible the few deformed/missing triangles are outside of what we see. -- [[User:Hkmaly|Hkmaly]] ([[User talk:Hkmaly|talk]]) 23:49, 8 March 2019 (UTC)
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: Only if you restrict yourself to using equilateral triangles.  If you're allowed to vary the lengths of the edges, then the sum of angles at the center of each "hexagon" will be less than 360 degrees, causing the "hexagon" to flex into a non-planar shape.  If you're using these to construct cosmic structures, the difference needed would be minuscule and undetectable to the naked eye.  [[User:Shamino|Shamino]] ([[User talk:Shamino|talk]]) 13:03, 12 March 2019 (UTC)
 
: Only if you restrict yourself to using equilateral triangles.  If you're allowed to vary the lengths of the edges, then the sum of angles at the center of each "hexagon" will be less than 360 degrees, causing the "hexagon" to flex into a non-planar shape.  If you're using these to construct cosmic structures, the difference needed would be minuscule and undetectable to the naked eye.  [[User:Shamino|Shamino]] ([[User talk:Shamino|talk]]) 13:03, 12 March 2019 (UTC)
  
Note that you *would* see regular patterns in the cosmic Big Bang remnant radiation in some cosmological models (think of Arcade scrollers, just in 3D). Citation needed no longer: https://arxiv.org/abs/astro-ph/0310253 [[Special:Contributions/198.41.242.46|198.41.242.46]] 10:29, 11 March 2019 (UTC)
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Note that you *would* see regular patterns in the cosmic Big Bang remnant radiation in some cosmological models (think of Arcade scrollers, just in 3D). Citation needed no longer: https://www.nature.com/articles/nature01944 [[Special:Contributions/198.41.242.46|198.41.242.46]] 10:29, 11 March 2019 (UTC)
  
  
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:Kinda.... in a ski resort in the alps... But I guess which image looks which way then also is dependent on you screen brightness. On my laptop (right now) I do not notice a lot of red coloring on picture 3, and hardly see the milky way in picture 2. --[[User:Lupo|Lupo]] ([[User talk:Lupo|talk]]) 14:22, 15 March 2019 (UTC)
 
:Kinda.... in a ski resort in the alps... But I guess which image looks which way then also is dependent on you screen brightness. On my laptop (right now) I do not notice a lot of red coloring on picture 3, and hardly see the milky way in picture 2. --[[User:Lupo|Lupo]] ([[User talk:Lupo|talk]]) 14:22, 15 March 2019 (UTC)
  
: I once spent the night alongside a country road in central Pennsylvania USA (Numidia). The sky looked much closer to picture 3 than picture 2. As a lifetime city-boy, I'm still awestruck by the memory. [[User:These Are Not The Comments You Are Looking For|These Are Not The Comments You Are Looking For]] ([[User talk:These Are Not The Comments You Are Looking For|talk]]) 05:13, 23 March 2019 (UTC)
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: I once spent the night alongside a country road in central Pennsylvania USA (Numidia). The sky looked much closer to picture 3 than picture 2. As a lifetime city-boy, I'm still awestruck by the memory.
 
 
I see the sky as #3 from atop Mauna Kea, and during a rare clear night on Adak, Alaska. Also, you can tile nonEuclidean 3D spheres with regular hexagons. [[http://www.linkedin.com/in/Comet Comet]] 20:01, 23 May 2019 (UTC)
 
 
 
 
 
This looks super similar to a Stanislaw Lem story, I wonder if Randal read it? [https://english.lem.pl/works/novels/the-cyberiad/146-how-the-world-was-saved story]
 

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