Fibonacci spiral - other point of view

Here is the original Fibonacci spiral:

Fibonacci spiral


My point of view:

As can be seen, points one and one determine the precise horizontal and one and two inclined straight lines tended to turn vertically. Thereafter, observations and logical reasoning are the other straight, "read" - "odd" elements in parallel determine the sequence-dependent horizontal and the other ("odd" - "read") will be approximations of parallelism of the first vertical (between the first two points) construction and always will slightly modify according to one another in order of increasing raw of Fibonacci!

Endless lattice of Einstein - 10

10                                                    X

| | | | |

| | | | |
— — — — — — — —
| | | | |
— — — — — — — —
| | | | |

| | | | |

...continues from the first Posting !

Neper Epsilon vicinity to Integral

The square ABCD with side of 2 units here is "arbitrary figure" on the Ulam spiral with center the origin Oxy. This figure is characterized by a double integral down her face Natural surroundings is (Epsilon) painted triangle - it consists of three scan points of Lagrangian point on the Ulam spiral. Center coincides with the beginning of the coordinate system of the drawing falls and center of gravity of the square ABCD (intersection of diagonals). On this drawing with figure so constructed triangle area Epsilon is the smallest and the largest such area of ABCD.

In three-dimensional convex polyhedron D, will have six two-dimensional view, and its surface will be characterized by a triple integral. Six views will be orthogonal projections, which may be given on the spiral Ulamov analogous to ABCD ...

Volume from the Age of Electronics until today !

The way one Microcontroller/Microprocessor works :

Example: 8052.com (classical site)

Sinusoid modeling of Volume:

Sound , Soundcard