A window problem

[mineiro]

Thanks for answering sir Gunther;
I have patience.
I was reading "The Fibonacci Quaterly" in a hope to find some answers. They compiled related Fibonacci things from 1963 to front. Some articles are too advanced to my math knowledge.
Dr Ron Knott have a nice site about, I read all, but stuck in some problems, like fibonacci base (like binary, decimal radix).
Again, thank you.

[Gunther]

mineiro,

Thanks for answering sir Gunther;

no thanks is necessary for that. You asked a reasonable question and you will get a reasonable answer from me.

I was reading "The Fibonacci Quaterly" in a hope to find some answers.

Hopefully, you won't be disappointed by my paper. As I said, it will not contain any new facts but will only be a compilation of already known things. Maybe this or that proof approach
is new for you, but I cannot and won't promise more.

However, I think the Golden Section is very remarkable. These themes have held a great fascination for academics, scientists, and amateurs since ancient times. The great astronomer
Johannes Kepler (1571 - 1630) expressed his high regard in this way: "Geometry holds two great treasures: one is the Pythagorean Theorem,  the other the Golden Section. We can compare
the first one with a  bushel of gold, the second we can call a valuable jewel." That's really very well formulated.

[daydreamer]

Gunther there is a fibonnacci thread "astronomical number" in soap box with interesting link from rosettacode, showing much faster fibonnacci calculation with help of biginteger and matrices
Golden ratio is used by artist, theory of most appealing pic

[Gunther]

daydreamer,

Gunther there is a fibonnacci thread "astronomical number" in soap box with interesting link from rosettacode, ...

I know. This is exactly why I started writing my paper, to show the theoretical background. Primarily this is supposed to be for my students, but maybe someone on the forum would be interested.
We'll see when the time comes.

[daydreamer]

daydreamer,

Gunther there is a fibonnacci thread "astronomical number" in soap box with interesting link from rosettacode, ...

I know. This is exactly why I started writing my paper, to show the theoretical background. Primarily this is supposed to be for my students, but maybe someone on the forum would be interested.
We'll see when the time comes.

Please publish more math. Pdfs
Many programmers are interested in math formulas,ranging from beginner level enter numbers in console mode and calculate formula and print result to old demoscene coders using math skill for example poly proc replace mul in innerloop with add, without that kinda math skill, you are restricted to only replace based on find fewer clock cycles opcode

[Gunther]

daydreamer,

Please publish more math. Pdfs

i will try it. But the problems and solutions have to be interesting. It's not that simple. In addition, of course, you need time for this. But like I said, I want to try.