11/15 SATURDAY

I get up at 2:29 AM CST and write in my journal. I cannot sleep. It is because of all the caffeine I had yesterday. I once wrote an essay using internet research for school about caffeine as a drug, citing the drug Vivarin, a caffeine pill, and concluding that caffeine is not good for you. Ay, nay. But what it effected yesterday was miracles.

Long ago, in 2005 AD, I sat in a class in a Restoration Branch, and the teacher asked the Class, what do you think could happen in 2005? I replied, the return of our Lord and Savior Jesus Christ. Of course, now, 20 years later, we are 20 years closer to his soon Return than we were then in 2005.

My cat eats shredded mild cheddar cheese from atop my stove, then pads past my green Ficus plant, hops onto my prayer altar, then leaps onto the 6th story of her 9-story cat-tower and gazez out the living room window. What does she see? A mouse in England, running behind a tree, up the clock that is striking one, then running down and, being blind and one of three, gets its tail cut off with a carving knife by the Farmer's Wife? My cat rests content.

I'm all asmiles and Thy smiles.

God is so good!

I dive into Euclid's Elements Book I, cramming, I know, but my mind and brain are already also stimulated.

the general theory of proportions - Expressed by Eratosthenes (~250-200 BC), and it is a fundamental principle in design, architecture and art that focuses on the balanced and harmonious relationship between the elements in a composition.

In classical architecture and design, the theory of proportion was expressed through the use of mathematical ratios and geometric forms. A general theory of proportion is presented and applied to proportional systems based on the golden mean, root 2, and root 3. These proportions are shown to be related to regular star polygons and to the law of repetition of ratios.


Poincare' conjecture solved
Posted to a public server.
Nov. 11, 2002

St. Petersburg, Russia

Grigori Perelman - "Grisha Perelman "

The entropy formula for the Ricci flow and its geometric applications.

ratio- shows how many times one number contains another. For instance, if there are eight oranges, and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to, the ratio 4:3).

The Golden Ratio - "In mathematics (obviously), physics, art, and probably other disciplines that I am forgetting, the golden ratio seems to carry a lot of weight in terms of its overall importance within these fields. I've done some surface level research into it and I simultaneously feel like both I somewhat understand and at the same time feel like I am nowhere close to wrapping my head around it. So please, fellow reddit users... could you help me out? I want to understand."

-Blankface954, 3 y ago (as of '025)

ggchappell:-3y ago (as of 2025 AD)

"Well, except for the math part, the actual answer to your question is going to be just a bit disappointing. In any case, here goes:



Math. The main important thing about the golden ratio (1.6180339 ...) is that it is the limiting ratio of consecutive Fibonacci numbers.



That is: the Fibonacci numbers are the sequence 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, .... Start with 0, 1 then add any consective pair to get the next one. For example, 34 + 55 = 89. Then look at the ratios: 1/1, 2/1, 3/2, 5/3, 8/5, 13/8, 21/13, ...; these approach the golden ratio.



It turns out that the Fibonacci numbers pop up all over the place. We named them after this guy Fibonacci because they turned up in a math textbook he wrote back in 1202, in an exercise about rabbit breeding (seriously). Another example: how many ways are there to tile a 2 x k rectangle with dominoes. For k = 1, 2, 3, 4, 5, 6 the answers are 1, 2, 3, 5, 8, 13. And it continues. The Fibonacci numbers are the answers to lots of "How many ... ?" questions. We don't necessarily encounter them too much in the math we learn in public school, but that is because such math tends not to concentrate on "How many ... ?" questions.



Physics. Since physics is 95% math, it stands to reason that things that show up a lot in math will show up a lot in physics. But the Fibonacci numbers are not going to play any kind of leading role in physics.



Art. I'm afraid this is mostly wishful thinking. Any number of people throughout history have claimed that rectangles whose sides are in the ratio 1.6180339 ... are particularly attractive. But experiments indicate that we just like rectangles that are about 3 x 5.



Biology. Green plants with a central stalk and lots of things coming out of it to the side will tend to arrange those things so that each has a good chance of getting lots of sun. One good way to do this is a spiraling arrangement where, if you count the spirals going one way and the spirals going the other way, you get consecutive Fibonacci numbers. However, it turns out that this is not nearly as common as many people suggest. But find a pine cone or a sunflower head, and do some counting, and you might get consecutive Fibonacci numbers.



On the other hand, claims that you get the golden ratio somehow out of the dimensions of mollusc shells (snails, etc.) are nonsense."

Gupperz: 3 y ago (as of 2025)

"I recall reading something that lots of sequences approach the golden ratio, not just fibbonaci"

ProfessorLaser: 3 y ago

"What the Golden Ratio is, isn't too tough to explain: It's the ratio (e.g. comparing the size of two things, like "twice as big" or "ten times bigger") of two lengths with the specific condition that if you compare both lengths, comparing the smaller one to the bigger one has the same ratio as comparing the bigger one to both added together.


...
In terms of art and other aesthetic disciplines, there's no real significance other than some influential artists thought it looked nice. You could maybe argue that there are some objective, fundamentally mathematical "truths" behind beautiful art, but that always struck me as a bit of a post-hoc justification. Mathematics and art have a long, weird, tangled history, and I'm sure there's someone out there more qualified to talk about it than I, but that's about the whole of it."

"Thank you for your thoughtful and well-written answer "- Blankface914 3 y ago as of 2025 AD.

Caccafuego: 3 y ago

"If you want to grow from very small to very big, but want to stay more or less the same shape, then the Golden Ratio will probably show up."-ProfessorLazer


"This is very helpful."

-2 upvotes.

RabidSeason: 3 y ago

"...
There's also a few neat math tricks about it, such as adding 1 + the golden ratio will equal (the golden ratio)squared, and subtracting 1 from the golden ratio with equal the square root of the golden ratio.



x + 1 = xsquared
x - 1 = sqrt(x)
(where x=The Golden Ratio).

mwmandorla: 3 y ago (as of AD 2025)

"There's one piece that I think the otherwise good answers here are missing. Regardless of its actual (functional or empirical) significance in mathematics and nature, at a variety of moments in the history of art and philosophy, the golden ratio was viewed as something of cosmic/divine significance because of the way ancient Greeks and then other cultures influenced by them thought about geometry. So it becomes important in the history of science, art, and architecture because those people believed it to be. At this end of human history, the golden ratio is therefore of significance in that way regardless of those people having been wrong about how the universe works. It has historical importance no matter how much or how little we find it in nature now.

(deleted): 3 y ago

If you make a rectangle with sides 1 and 1+x such that the ratio of 1+x/1 is the same as 1/x, you can solve for x with xsquared - x - 1 = 0. This gives two solutions, the larger of which is the golden ratio, but it also means that it's a number whose square is 1 more than the number itself (since xsquared = x+1) and 1/x = x-1, so the reciprocal of the number is 1 less than that number. Not a huge deal in math (nothing like e or pi) but kinda spooky.
-2 upvotes

FireFerretDann 3 y ago.

"...
=12pxIt is, in a certain sense, the most irrational number. Let me explain what I mean. One way to talk about irrational numbers is with continued fractions. This is terrible to format in a reddit comment, but I'll do my best: a + 1/(b + 1/(c + 1/(...))), where a is some integer and b, c, d, and so on are positive integers. For example, Pi's continued fraction starts 3 + 1/(7 + 1/(15 + 1/(1 + 1/(292 + 1/(1 + ...))))). You can approximate an irrational number by cutting off its continued fraction to make a rational number. So for pi, 3 is an ok estimate, 3 + 1/7 is better, 3 + 1/(7 + 1/15) is a little better than that, and so on."

"...

The continued fractions for the golden ratio is all ones so wherever you stop the continued fraction it's as bad of an approximation as possible (relative to the number of terms included). So in this way, the golden ratio is the hardest number to accurately approximate as a finite fraction.

"The golden mean or golden middle way is the desirable middle between two extremes, one of excess and the other of deficiency."

"The golden ratio shows up in the physics of black holes!"

...

Most things get hotter when you put more energy into them. But systems held together by gravity often work the other way. For example, when a red giant star runs out of fuel and collapses, its energy goes down but its temperature goes up! We say these systems have a negative specific heat.



The prime example of a system held together by gravity is a black hole. Hawking showed—using calculations, not experiments—that a black hole should not be perfectly black. It should emit ‘Hawking radiation’. So it should have a very slight glow, as if it had a temperature above zero. For a black hole the mass of the Sun this temperature would be just 6 × 10-8 kelvin.



This is absurdly chilly, much colder than the microwave background radiation left over from the Big Bang. So in practice, such a black hole will absorb stuff—stars, nearby gas and dust, starlight, microwave background radiation, and so on—and grow bigger. But if we could protect it from all this stuff, and put it in a very cold box, it would slowly shrink by emitting radiation and losing energy, and thus mass. As it lost energy, its temperature would go up. The less energy it has, the hotter it gets: a negative specific heat! Eventually, as it shrinks to nothing, it should explode in a very hot blast.



But for a spinning black hole, things are more complicated. If it spins fast enough, its specific heat will be positive, like a more ordinary object.



And according to a 1989 paper by Paul Davies, the transition to positive specific heat happens at a point governed by the golden ratio! He claimed that in units where the speed of light and gravitational constant are 1, it happens when

(J Squared divided by M to the power of 4)=((The square root of 5-1) divided by 2)

Here J is the black hole's angular momentum, M is its mass, and

((The Square root of 5 - 1) divided by 2)= 0.6180339 . . . is a version of the golden ratio!
This is for black holes with no electric charge. (neutrons in space? - BLS)

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I flip through the many pages I have written today. I have written a lot, culled from a myriad of sources, all to get at maths, art, archaeology and science and a new sudden interest, architecture, which I do not wish to become too heavily involved in, except abstractly, in reference to the study of it in archaeology and art. I have no desire to become any kind of architect, though I desire to study some (but not all) aspects of engineering science.

I yawn, tired. My shirt is on. I will probably watch YouTube on TV until I get so tired I just need to go to bed. Euclid's Elements awaits me tomorrow as well as a boatload of other unread and part-way read books and untyped journals, and uncompiled journal years. I look up and forward. There is The Patchwork Devil. I look up and to the left. There is The History of Jihad. They will be waiting for me on the morrow or another day. My cat is still on her cat tower at 5:41 AM. She likes it up there. Oh, fooey. I have no room anymore for a comfortable couch to sit on, or for guests to recline on. Perhaps it could float in the middle of my living room floor in front of my TV. Possibly....
My cat looked at me, and is getting off her tower. She is hungry.

I bike to Casey's to get soda and cook and eat oatmeal for breakfast.

10:23 AM I start a stream and begin to update my journal. Mark Sohlden had called me today.

Communiques to Mark Sohlden from I:
-About 10:22 AM CST

Mark, at the risk of Banz, it is happening now...the miracles, the blessings, the healings, and within a generation and a half or so the earth will begin to coalesce in pure knowledge and we will start to speak a purer tongue than English.....and you are missing it.

Join us. Read the Sealed Book of Mormon today, cast your doubt aside and seek your own testimony. (It has to be the one translated by Mauricio and published by Joseph Fredrick Smith though, the others are fake counterfeits).

Christ has made ready his feast of fat things and fine refined wine on the lees. Will you come and partake or make excuse like most others in the Restoration have?

-10:43 AM CST
And you have to take baby steps with Jay. Play audio bible and Book of Mormon YouTube videos real loud in your house. The YT Channel Media Truth Flow has the whole BoM and Pearl of Great Price, and the LDS DC is also in audiobook form on YouTube. Play Sunshine Country the novel audiobook on YT by Kristina Royova, a tale that can convert even a hardened old man to simple faith in Christ. Play LDS Hymns on YouTube and Bates City Restoration Services, also on Youtube (every Sunday produced by the BCRB of Jesus Christ). Stop arguing with him with anger. Pray for him. Show him kindness. Cease all sinful activities with him and you know what I mean. (let Mark the reader understand). Don't find fault with him. If he yells at you, interrupts you and hits you, don't fight back, argue back, nor revile against the revilers. He who hath the spirit of contention is of the devil according to III Nephi which you JUST QUOTED. Read that part again. LIVE THE SCRIPTURES, don't just read them. His word must become flesh in your life (See Take Note, Patriarch Walter Weldon, God's Thunder.)



Don't play the "Sealed Book of Mormon" Media Truth flow YT Channel version. It is a fake counterfeit of the True Book translated so far by Joseph Smith, Jr. and Mauricio Berger with Urim. Pray:

-for wisdom
-for discernment and the gift of discernment
-for knowledge
and for understanding Daily

And try the spirits for not every spirit is of God.

Jesus loves you God Bless you, and I love you Unc. Mark.








-9:58 AM CST

Mark, you seem to think that if we choose Celestial Kingdom and Celestial Glory that we cannot also be creative, have independent thought or our own righteous desires to learn, to love, to live, to grow, to laugh, to enjoy life, to be, just be. You think Celestial living excludes all personal freedom agency will and choice that does not 100% have something or other to do with the Scriptures or Church. We can't be painters, scholars, learners, teachers, doctors, architects or students, we just need to all live under a rock and go to Church every Sunday and Wednesday and constantly read the Scriptures until we make it to Celestial Glory and if we do anything else, or we dare to learn, be creative or have independent thought we are outside of as you say the perfect will of God and those are our weaknesses. That is how contemptuously you treat my journals calling me worldly from top to bottom for actually having a life and not lounging idly all day naked around my house, then putting my clothes on like a human being and not an ape, and playing on my computer, then taking them off again and lounging about naked all day. There are no idlers in the Kingdom of God. Learners are world-changers. DC 85 also says and The Endowment even says that we are encouraged to learn about a very wide range of subjects.

Bye.

Last edited by Admin (11/20/2025 10:24 pm)