Cute puppy and Music

Can this puppy love the Music?

Yes :-)

This puppy loves the Music of Chopin the Great!

Do You know Warsaw in 1772?:

Spiral of Fibonacci sequence in Python

Source: NASA

Galaxy.  Why is this the spiral galaxy?

ANSWER = Fibonacci sequence ...

Source: NASA

Why are following Saturn's moons at these positions?

ANSWER = Fibonacci sequence ... (and Kepler rules)



https://solarsystem.nasa.gov/news/911/10-things-unsolved-mysteries-of-saturns-moons/
https://solarsystem.nasa.gov/resources/12669/saturns-rings/

https://www.nasa.gov/mission_pages/cassini/main/index.html

https://solarsystem.nasa.gov/resources/17777/the-saturn-system-through-the-eyes-of-cassini-e-book/

https://www.nasa.gov/saturn/


Egg shape.
Or spacing the branches in the trunk of the tree or in the rose flower petals.
All nature and shape of plants and trees generally...

And man's ability to remember and store information for a long time too?

ANSWER = Fibonacci sequence ...

# Python application for drawing of Fibonacci spiral - using Turtle

import turtle
import math
from turtle import *
from math import *

# MANUAL with commands:
# https://docs.python.org/3.3/library/turtle.html

window=turtle.Screen()
window.bgcolor("white")

print("Fibonacci sequence follows a recursive relation:")
print("next element k = previous + current = i + j")
print("f(n+1) = f(n-1) + f(n)")
print("where n is the n-th term in the sequence.")

# The 'factor' makes possible to expand or shrink the scale of the print.
factor = 3

how_many = int(input('Enter the number of iterations (must be > 1): '))

def FibonacciSpiralDraw(n):
    i_previous=0
    j_current=1
    square_a = i_previous
    square_b = j_current

    # Setting the colour of the plotting pen to grey
    x.pencolor("grey")

    # Drawing the first square
    for f in range(4):
        x.forward(j_current * factor)
        if f < 3 :x.left(90)

    # Proceeding in the Fibonacci Series
    temp = square_b
    square_b = square_b + square_a
    square_a = temp
 
    # Drawing the rest of the squares
    for i in range(1, n):
        x.backward(square_a * factor)
        x.right(90)
        for f in range(3):
            x.forward(square_b * factor)
            if f < 2 :x.left(90)

        # Proceeding in the Fibonacci Series
        temp = square_b
        square_b = square_b + square_a
        square_a = temp

    # Bringing the pen to starting point of the spiral plot
    x.penup()
    x.setposition(factor, 0)
    x.seth(0)
    x.pendown()

    # Setting the colour of the plotting pen to red
    x.pencolor("red")
    x.pensize(n)
    if n > 3: x.pensize(3)

    # Fibonacci Spiral Plot
    x.left(90)
    for i in range(n):
        fdwd = math.pi * j_current * factor / 2
        fdwd /= 90
        for j in range(90):
            x.forward(fdwd)
            x.left(1)
        temp = i_previous
        i_previous = j_current
        j_current = temp + j_current
        print("Step "+str(i+1)+". i="+str(temp)+", j="+str(i_previous)+", k=Fib="+str(j_current))

# Drawing the Fibonacci Spiral Fractal
# and printing the corresponding Fibonacci Number
if how_many > 0:
    print("Fibonacci series for", how_many, "elements :")
    x = turtle.Turtle()
    x.speed(200)
    FibonacciSpiralDraw(how_many)
    turtle.done()
else:
    print("Number of iterations must be > 0")

The hard first day in New Year 2020

The hard first day in New Year 2020

Source: NASA

The easiest XMAS tree in Python

# Python application for drawing of a model of XMAS tree - using Turtle

import turtle
from turtle import *

# MANUAL with commands:
# https://docs.python.org/3.3/library/turtle.html

window=turtle.Screen()
window.bgcolor("white")

color('blue', 'green')
begin_fill()

for n in range(3):

    forward(200)
    left(120)

end_fill()

forward(200)
left(120)
forward(90)
turtle.pendown()
turtle.pencolor('yellow')
turtle.pensize(20)
turtle.circle(10)
turtle.penup()

left(70)
forward(50)
turtle.pendown()
turtle.pencolor('blue')
turtle.pensize(20)
turtle.circle(10)
turtle.penup()

forward(50)
turtle.pendown()
turtle.pencolor('red')
turtle.pensize(20)
turtle.circle(10)
turtle.penup()

right(120)
forward(100)
right(60)
forward(15)
turtle.pendown()
turtle.pencolor('yellow')
turtle.pensize(20)
turtle.circle(10)
turtle.penup()

right(105)
forward(45)
turtle.pendown()
turtle.pencolor('violet')
turtle.pensize(20)
turtle.circle(10)
turtle.penup()

done()