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A Beginner's Guide to Constructing the Universe by Michael Schneider

63 of 79 5-star reviews on amazon:


Especially interesting is chapter 5 - the largest chapter - which goes in length into Fibonacci and The Golden Ratio. Here's a great video on that topic:


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great book

and fun to read!

Joη's picture

vid incorrectly identifies ɸ in the Great Pyramid @3m42s

the 1:ɸ:√ɸ ratio is present in
slant length : ½ base length : altitude,
not ascending diagonal edge : ½ base diagonal : altitude.
Measure it. Bad video! Bad!

It shouldn't be surprising the Fibonacci sequence is demonstrated on so many things that passively grow: a growing segment may have resources available from itself and what it's attached to to make the next segment; 1+1=2+3=5+8=13+...

ɸ is also a never-alone ratio: where it is once, it is twice. Makes a little more sense if you write ɸ exactly, which, scanning the book, I don't see, maybe I missed it:


(+ if you want the bigger one, - if you want the smaller; funny how in this case .618... = 1/ɸ but 1+.618... = ɸ, equivalent to reciprocation; or write it with all 5s: .5*5^.5±.5)

aka the two solutions to


I was going to bring up my favorite proportions, but I see Schneider has already done so on his site, though on it he means to say 8*9*10*11 ≈ Earth's polar diameter (or does he mean equatorial?) in miles, not its radius.

The Earth and Moon squaring the circle to 0.01% error is a pretty big coincidence.
That ɸ can approximate into the "schematic" is just due to the numerical coincidence that √ɸ≈4/π.

"You underestimate the character of man." | "So be off now, and set about it." | Up for a game?

It's also interesting to note

That in energy equations related to EROEI, a fuel source is not economical to go after if it's Energy Returned Over Energy Invested is under 1.618:1. I've come across this limit in numerous analyses over the years. Could this be a subconscious manifestation of ɸ or yet another physical law relationship we haven't identified?

Yes. the narrator also says 33 instead of 34...

near the beginning of the video.

must have been an early attempt at video for these creators. I admire their visuals though.

Coincidentally, I'm wearing one of those t-shirts right now (no not really).

Tweeting occasionally as himself @cudnoski on the twitter.

Joη's picture

any guesses why?

the Earth & moon are the sizes they are, knowing how chaotic galaxy and planet formations are?

Surely there's no as-yet-undiscovered rule of nature that explains any need for the proportion or circle squaring. (as oppose to useful observations like Kepler's laws which helped Newton arrive at gravitation).

It's just two inputs, for one artificial proportion, on entities that are usually stable in space for billions of years.

It's probably a pointless question.

"You underestimate the character of man." | "So be off now, and set about it." | Up for a game?

The moon isn't always the same size.

On the horizon the moon is often larger. Sometimes the sky is orange.

The moon in the sky is often cat's eye.

Tweeting occasionally as himself @cudnoski on the twitter.

Joη's picture

optically speaking


"You underestimate the character of man." | "So be off now, and set about it." | Up for a game?

or synaptically peaking.


Tweeting occasionally as himself @cudnoski on the twitter.