Editing Talk:2322: ISO Paper Size Golden Spiral
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It annoys me that the hover text says 11/8.5 = pi/4, when 8.5/11≈0.77272727272 and pi/4≈0.78539816339. Claiming 8.5/11 equals pi/4 would be a much more beleiveable lie. [[Special:Contributions/162.158.79.37|162.158.79.37]] 15:29, 19 June 2020 (UTC) | It annoys me that the hover text says 11/8.5 = pi/4, when 8.5/11≈0.77272727272 and pi/4≈0.78539816339. Claiming 8.5/11 equals pi/4 would be a much more beleiveable lie. [[Special:Contributions/162.158.79.37|162.158.79.37]] 15:29, 19 June 2020 (UTC) | ||
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The explanation says that the A series "side lengths shrink by a factor of the square root of two" but that's not true. The width of A(n+1) is half the length of A(n) as depicted. The sqrt(2) ratio referenced is between the length and width of any one piece of paper.[[Special:Contributions/172.69.62.124|172.69.62.124]] 15:35, 19 June 2020 (UTC) | The explanation says that the A series "side lengths shrink by a factor of the square root of two" but that's not true. The width of A(n+1) is half the length of A(n) as depicted. The sqrt(2) ratio referenced is between the length and width of any one piece of paper.[[Special:Contributions/172.69.62.124|172.69.62.124]] 15:35, 19 June 2020 (UTC) | ||
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::The usual graphic for this is vertical and has the paper sizes getting smaller going towards the top left corner, not positioned in a spiral. | ::The usual graphic for this is vertical and has the paper sizes getting smaller going towards the top left corner, not positioned in a spiral. | ||
::More scientifically-minded designers would be just as annoyed as (most) mathematicians are by the persistent myth that there is something inherently beautiful about the "golden ratio" in the first place, but unfortunately they are probably not in the majority.[[Special:Contributions/172.69.50.76|172.69.50.76]] 17:50, 21 June 2020 (UTC) | ::More scientifically-minded designers would be just as annoyed as (most) mathematicians are by the persistent myth that there is something inherently beautiful about the "golden ratio" in the first place, but unfortunately they are probably not in the majority.[[Special:Contributions/172.69.50.76|172.69.50.76]] 17:50, 21 June 2020 (UTC) | ||
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It should be noted that the logarithmic spiral this comic implies it is would actually go outside the bounds of the paper. The leftmost point of the spiral would be about 6.4mm to the left of the left edge of the A1 sheet. [[User:Zmatt|Zmatt]] ([[User talk:Zmatt|talk]]) 18:39, 19 June 2020 (UTC) | It should be noted that the logarithmic spiral this comic implies it is would actually go outside the bounds of the paper. The leftmost point of the spiral would be about 6.4mm to the left of the left edge of the A1 sheet. [[User:Zmatt|Zmatt]] ([[User talk:Zmatt|talk]]) 18:39, 19 June 2020 (UTC) | ||
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Mathematicians get annoyed by the claim that the golden ratio is everywhere. I love Disney's "Donald in Mathmagic Land" but they make some outrageous claims about the golden ratio's place in art and architecture. BTW, the ISO system of paper sizes is awesome! You can photocopy two A4 pages side-by-side, reduced to fit exactly on a single A4 page. | Mathematicians get annoyed by the claim that the golden ratio is everywhere. I love Disney's "Donald in Mathmagic Land" but they make some outrageous claims about the golden ratio's place in art and architecture. BTW, the ISO system of paper sizes is awesome! You can photocopy two A4 pages side-by-side, reduced to fit exactly on a single A4 page. | ||
:Also they get pi wrong. --[[Special:Contributions/162.158.79.209|162.158.79.209]] 22:18, 20 June 2020 (UTC) | :Also they get pi wrong. --[[Special:Contributions/162.158.79.209|162.158.79.209]] 22:18, 20 June 2020 (UTC) | ||
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Isn't grade closer to degrees than to radians? [[User:Djbrasier|Djbrasier]] ([[User talk:Djbrasier|talk]]) 15:03, 20 June 2020 (UTC) | Isn't grade closer to degrees than to radians? [[User:Djbrasier|Djbrasier]] ([[User talk:Djbrasier|talk]]) 15:03, 20 June 2020 (UTC) | ||
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[[Special:Contributions/108.162.216.216|108.162.216.216]] 15:21, 23 June 2020 (UTC) | [[Special:Contributions/108.162.216.216|108.162.216.216]] 15:21, 23 June 2020 (UTC) | ||
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The reason ISO paper sizes use an aspect ratio equal to the square root of two is that makes enlarging or reducing in copiers work better. With the US sizes, when you enlarge or reduce to the next standard size up or down, you have to choose between cutting off part of your original or leaving some blank space, because US standard paper sizes aren't the same shape. | The reason ISO paper sizes use an aspect ratio equal to the square root of two is that makes enlarging or reducing in copiers work better. With the US sizes, when you enlarge or reduce to the next standard size up or down, you have to choose between cutting off part of your original or leaving some blank space, because US standard paper sizes aren't the same shape. | ||
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[[Special:Contributions/108.162.216.216|108.162.216.216]] 15:21, 23 June 2020 (UTC) | [[Special:Contributions/108.162.216.216|108.162.216.216]] 15:21, 23 June 2020 (UTC) | ||
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