The Silver Ratio - Page 2

LaurV · 2021-12-14, 15:23

Too much talk about that silver ratio. Everybody knows it is 92.5, case closed.

Dr Sardonicus · 2021-12-14, 17:34

Quote:

Originally Posted by LaurV

Too much talk about that silver ratio. Everybody knows it is 92.5, case closed.

BZZZZZT! - 92.5 is a percentage, not a ratio (the percentage by weight of silver in sterling silver). The corresponding ratio (silver to non-silver by weight) is 37:3.

rudy235 · 2021-12-14, 21:33

Quote:

Originally Posted by Dr Sardonicus

BZZZZZT! - 92.5 is a percentage, not a ratio (the percentage by weight of silver in sterling silver). The corresponding ratio (silver to non-silver by weight) is 37:3.

I believe the correct ratio for Sterling Silver is 0.925/0.075 =12.333 or 37/3

There is also Britannia Silver which is richer and has a ratio of 23.04 or 599/26

Dr Sardonicus · 2021-12-14, 23:48

Lo, these many years ago, I had a real-life encounter with the "silver ratio." I lost.

My high school geometry teacher refused to give me credit for a compass-and-straightedge construction I had devised which was for one of the numbers $1\;+\;\sqrt{2}$ (the "silver ratio") or its inverse, $\sqrt{2}\;-\;1$ .

(I don't remember which it was, but it was one of them.)

My construction was correct, but it wasn't the one he had in mind, and he didn't understand my reasoning.

(I did, however, manage to pass the course...)

jwaltos · 2021-12-15, 02:35

https://mathworld.wolfram.com/Univer...cConstant.html

There's a fundamental result in quantum physics allied (not alloyed..minors not miners..Galaxy Quest) with this constant (see hyperbolic constant as well as CGreathouse's note on OEIS). The authors of the physics paper derived their numerical result without noting this association. If asked I'll try to dig up that paper.
The UPC is a measure of distance whereas the UHC is a measure of area.

2021-12-15, 02:35	#16
jwaltos Apr 2012 Oh oh. 11×41 Posts	https://mathworld.wolfram.com/Univer...cConstant.html There's a fundamental result in quantum physics allied (not alloyed..minors not miners..Galaxy Quest) with this constant (see hyperbolic constant as well as CGreathouse's note on OEIS). The authors of the physics paper derived their numerical result without noting this association. If asked I'll try to dig up that paper. The UPC is a measure of distance whereas the UHC is a measure of area. Last fiddled with by jwaltos on 2021-12-15 at 02:40

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2021-12-14, 15:23	#12
LaurV Romulan Interpreter "name field" Jun 2011 Thailand 26EA₁₆ Posts	Too much talk about that silver ratio. Everybody knows it is 92.5, case closed.

2021-12-14, 23:48	#15
Dr Sardonicus Feb 2017 Nowhere 53·109 Posts	Lo, these many years ago, I had a real-life encounter with the "silver ratio." I lost. My high school geometry teacher refused to give me credit for a compass-and-straightedge construction I had devised which was for one of the numbers $1\;+\;\sqrt{2}$ (the "silver ratio") or its inverse, $\sqrt{2}\;-\;1$ . (I don't remember which it was, but it was one of them.) My construction was correct, but it wasn't the one he had in mind, and he didn't understand my reasoning. (I did, however, manage to pass the course...)