Yeah, we’ve written about golden ratio twaddle a few times, although we tend not to bother. Sir Theodore Cook said it all a century ago. But, on occasion, we have cause to give the phi nonsense another whack. And, as it happens, we’ve been working on one such post when more nonsense came rolling in.
Classy media outlets, such as The Australian, are currently trumpeting the news that Amber Heard, whatever her other failings, also has the most beautiful face in the world. Because golden ratio. This stunning news coming courtesy of some cosmetic surgery clowns.
This is another quick one, but it keeps the bullets flying while we prepare a more substantial post for tomorrow(ish). It can be considered a companion to the previous ACARA Crash a Content-Elaborations for Year 8 Number.
recognise and investigate irrational numbers in applied contexts including certain square roots and π
recognising that the real number system includes irrational numbers which can be approximately located on the real number line, for example, the value of π lies somewhere between 3.141 and 3.142 such that 3.141 < π < 3.142
using digital tools to explore contexts or situations that use irrational numbers such as finding length of hypotenuse in right angle triangle with sides of 1 m or 2 m and 1 m or given area of a square find the length of side where the result is irrational or the ratio between paper sizes A0, A1, A2, A3, A4
investigate the Golden ratio as applied to art, flowers (seeds) and architecture
H. R. Currie and G. M. Currie, Open Access Journal
This one was brought to our attention by the Evil Mathologre. It is a tricky one, since it involves the work of a school student, and the student is in no way a target for our criticism. Out of such concerns, we haven’t made this post a WitCH; it should be considered in the same vein as this Maths Masters column.
“… we had to investigate an element of the golden ratio in the built or natural environment so I decided to look at atomic structure …“.
Hugo considered the atomic mass number A (protons plus neutrons) of nuclides (isotopes), comparing A to the number N of neutrons and the number Z of protons. Of course, A = N + Z. Hugo then looked for “fibonacci nuclides”, nuclides for which the ratios A/N and N/Z are very good approximations to the golden ratio. He found a bunch, and suggested his results as a guide to hunting for new elements and nuclides. Hugo’s graphic above is a good illustrative summary of his investigation; the horizontal axis is N, the vertical axis is Z, and the black line indicates known stable nuclides.
OK, no big deal. From our perspective, having a class sent off to hunt for the golden ratio is asking for trouble, but it’s just an IA, and Hugo’s work seems interestingly exploratory-ish, in the manner the IB foolishly demands. But why did Hugo make the news, and what’s the problem?