Metallic MOS: Difference between revisions

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[[File:Noble generator.png|618x618px]]

Disclaimer: while these two segments are indeed related by ~~<span><math>φ</math></span>~~, it is not simply by their lengths, as it may appear in the diagram. For now, let it suffice to say that extensions of the golden mean such as this are known as [http://mathworld.wolfram.com/NobleNumber.html noble numbers].

Disclaimer: while these two segments are indeed related by , it is not simply by their lengths, as it may appear in the diagram. For now, let it suffice to say that extensions of the golden mean such as this are known as [http://mathworld.wolfram.com/NobleNumber.html noble numbers].<span><math>φ</math></span>As for why the order of the segments is flipped here — well, that too will be explained later.

As for why the order of the segments is flipped here — well, that too will be explained later.

=== Beyond golden cases ===

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Since we’ll be returning to these types of numbers frequently, for convenience, and by analogy with “noble” numbers, we’ll refer to them as ''aristocratic numbers'' (and, as before, we’ll make no claim as to the sociopolitical accuracy of this analogy).

Confusingly, silver is a noble metal, while gold is not; this all would have been simpler if multiple metaphors hadn't already arisen in this domain, but what can we do.

So, in the end, we have six types of metallic generators:

@@ Line 38: / Line 38: @@
 [[File:Noble generator.png|618x618px]]
-Disclaimer: while these two segments are indeed related by <span><math>φ</math></span>, it is not simply by their lengths, as it may appear in the diagram. For now, let it suffice to say that extensions of the golden mean such as this are known as [http://mathworld.wolfram.com/NobleNumber.html noble numbers].
+Disclaimer: while these two segments are indeed related by , it is not simply by their lengths, as it may appear in the diagram. For now, let it suffice to say that extensions of the golden mean such as this are known as [http://mathworld.wolfram.com/NobleNumber.html noble numbers].<span><math>φ</math></span>As for why the order of the segments is flipped here — well, that too will be explained later.
-As for why the order of the segments is flipped here — well, that too will be explained later.
 === Beyond golden cases ===
@@ Line 88: / Line 86: @@
 Since we’ll be returning to these types of numbers frequently, for convenience, and by analogy with “noble” numbers, we’ll refer to them as ''aristocratic numbers'' (and, as before, we’ll make no claim as to the sociopolitical accuracy of this analogy).
+Confusingly, silver is a noble metal, while gold is not; this all would have been simpler if multiple metaphors hadn't already arisen in this domain, but what can we do.
 So, in the end, we have six types of metallic generators: