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VdS-Journal 95 - 99: Modul Weltkarte

Das Modul für die Weltkarte beruht auf den Kartenprojektions-Aufsätzen in den Journale Heften 70-72. Benutzt wird die flächentreue Mollweide-Projektion.

# bessere Weltkarte nach Mollweide: Stützpunkte sind mit Linien verbunden

# Grafik ca. von -300, bis 300
from turtle import *
from math import *

def Line(x0,y0,x1,y1, thickness, col):  # Linie ziehen, benannte Farbe
    color(col)
    width(thickness)
    if (x1<x0): #dx stets>0 wg.atan
        h=x0;x0=x1;x1=h
        h=y0;y0=y1;y1=h
    dx=x1-x0; dy=y1-y0
    pendown()
    if (dx<1e-10):
        setheading(90)
        forward(dy)
    else:
        setheading(180*atan(dy/dx)/pi)
        forward(sqrt(dx*dx+dy*dy))
    hideturtle()

def plot(x,y, thickness, col, Penup):
    color(col)
    if (1==Penup):
      penup()
      goto(x,y)
      pendown()
      dot(thickness, col)
    else:
      pendown()
      color(col)
      width(thickness)
      goto(x,y)
    hideturtle()

def worldpoint(l,f, thickness, col, w, screen, Penup):
    l=-l # Anpassung an l<0 = Ost
    t=f*pi/4.0
    tAlt=0
    x=l*cos(f)
    y=pi/2.0*sin(f);
    while(fabs(t-tAlt)>1e-4):
      tAlt=t
      t=(pi*sin(f)-sin(t+t))/2
      # Koordinaten über Ellipsengleichung des Hilfswinkels
      x=l*cos(t)
      y=pi/2.0*sin(t);
      
    plot(w/(2*pi)*x,w/(2*pi)*y, thickness, col, Penup)

def worldmap(thickness, col, w, screen):
  k = [[-150.99, -80.0],
  [-152.32, -79.613],
  [-154.824, -78.777],
  [-156.79, -77.988],
  [-157.779, -77.436],
  [-156.45, -77.301],
  [-154.297, -77.436],
  [-154.297, -76.863],
  [-156.45, -76.734],
  [-157.779, -76.357],
  [-158.13, -75.881],
  [-158.482, -75.425],
  [-156.79, -75.201],
  [-153.835, -75.425],
  [-152.792, -75.999],
  [-150.287, -76.357],
  [-147.794, -76.12],
  [-145.817, -75.539],
  [-145.817, -74.874],
  [-146.168, -74.355],
  [-146.465, -73.86],
  [-143.851, -73.762],
  [-141.819, -73.474],
  [-140.478, -73.666],
  [-139.841, -73.292],
  [-138.161, -73.135],
  [-136.48, -72.866],
  [-135.316, -72.598],
  [-132.822, -72.598],
  [-131.834, -72.866],
  [-130.669, -73.292],
  [-129.505, -73.666],
  [-127.824, -73.959],
  [-126.836, -73.959],
  [-126.66, -73.57],
  [-126.199, -73.043],
  [-125.331, -72.537],
  [-124.342, -72.193],
  [-123.178, -71.714],
  [-123.53, -71.196],
  [-122.19, -71.196],
  [-121.212, -71.662],
  [-119.872, -71.883],
  [-119.872, -71.495],
  [-118.191, -71.578],
  [-116.5, -71.578],
  [-117.554, -72.053],
  [-117.554, -72.537],
  [-116.214, -73.043],
  [-113.545, -73.135],
  [-112.205, -72.866],
  [-112.381, -72.367],
  [-112.556, -71.883],
  [-111.864, -71.578],
  [-111.392, -71.883],
  [-110.876, -72.367],
  [-110.173, -72.866],
  [-108.547, -73.043],
  [-108.382, -72.537],
  [-109.36, -72.367],
  [-109.36, -71.883],
  [-108.207, -71.883],
  [-107.855, -72.193],
  [-108.382, -72.537],
  [-107.394, -72.951],
  [-105.878, -72.951],
  [-104.373, -72.776],
  [-104.373, -72.454],
  [-102.572, -72.454],
  [-101.242, -72.598],
  [-99.902, -72.866],
  [-101.242, -72.193],
  [-100.539, -71.883],
  [-101.352, -71.662],
  [-99.902, -71.495],
  [-98.859, -71.361],
  [-99.902, -71.059],
  [-101.242, -71.196],
  [-102.396, -70.765],
  [-101.242, -70.69],
  [-101.352, -70.982],
  [-99.551, -70.901],
  [-98.397, -71.278],
  [-97.409, -71.361],
  [-97.409, -71.662],
  [-96.245, -71.662],
  [-95.893, -71.361],
  [-95.893, -71.059],
  [-97.409, -70.901],
  [-98.397, -70.529],
  [-99.551, -70.265],
  [-100.891, -70.057],
  [-99.727, -69.899],
  [-98.222, -70.106],
  [-96.882, -69.978],
  [-95.553, -70.186],
  [-95.553, -70.474],
  [-93.861, -70.609],
  [-92.126, -70.765],
  [-90.379, -70.901],
  [-88.643, -70.901],
  [-86.908, -70.901],
  [-85.392, -71.059],
  [-84.239, -70.901],
  [-82.899, -70.821],
  [-81.152, -70.901],
  [-79.417, -70.982],
  [-78.428, -71.196],
  [-78.604, -70.821],
  [-77.901, -70.474],
  [-76.396, -70.609],
  [-74.946, -70.821],
  [-73.902, -70.982],
  [-74.419, -71.412],
  [-72.914, -71.361],
  [-71.409, -71.278],
  [-69.948, -71.115],
  [-68.443, -71.059],
  [-67.455, -70.821],
  [-66.938, -70.395],
  [-66.938, -69.978],
  [-67.455, -69.691],
  [-67.455, -69.218],
  [-67.916, -68.804],
  [-68.443, -68.463],
  [-68.443, -68.015],
  [-67.279, -68.015],
  [-66.587, -67.754],
  [-67.279, -67.536],
  [-66.763, -66.944],
  [-67.455, -66.669],
  [-68.443, -66.669],
  [-69.201, -66.669],
  [-69.256, -66.339],
  [-68.619, -65.999],
  [-67.751, -65.774],
  [-67.576, -66.111],
  [-66.938, -66.058],
  [-66.29, -66.339],
  [-66.29, -65.914],
  [-65.423, -65.72],
  [-64.961, -65.169],
  [-63.918, -64.819],
  [-63.918, -64.457],
  [-62.929, -64.548],
  [-62.578, -64.189],
  [-61.589, -64.126],
  [-61.424, -63.76],
  [-59.623, -63.418],
  [-58.81, -63.192],
  [-57.931, -62.975],
  [-57.118, -62.909],
  [-58.107, -63.418],
  [-57.184, -63.418],
  [-57.294, -63.911],
  [-58.107, -63.818],
  [-58.92, -63.975],
  [-59.623, -63.818],
  [-60.436, -64.126],
  [-61.304, -64.401],
  [-61.941, -64.757],
  [-62.292, -65.317],
  [-62.578, -65.634],
  [-63.456, -65.432],
  [-63.621, -65.999],
  [-64.61, -65.999],
  [-65.247, -66.339],
  [-65.423, -66.726],
  [-64.785, -66.944],
  [-64.785, -67.486],
  [-63.621, -67.486],
  [-62.578, -67.754],
  [-62.292, -68.199],
  [-61.941, -68.621],
  [-61.424, -68.962],
  [-61.589, -69.218],
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  [-60.776, -70.395],
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  [-59.799, -70.982],
  [-60.084, -71.278],
  [-61.424, -71.361],
  [-60.952, -71.662],
  [-60.611, -72.193],
  [-61.589, -72.537],
  [-61.589, -72.951],
  [-62.929, -73.043],
  [-62.929, -73.57],
  [-63.621, -74.052],
  [-65.423, -74.562],
  [-67.279, -75.201],
  [-64.961, -75.425],
  [-62.468, -75.313],
  [-59.963, -75.313],
  [-57.591, -75.539],
  [-55.965, -75.999],
  [-53.636, -76.481],
  [-51.604, -76.993],
  [-49.287, -77.436],
  [-47.606, -77.845],
  [-43.948, -77.988],
  [-40.982, -77.988],
  [-38.489, -77.845],
  [-36.336, -77.167],
  [-35.007, -76.357],
  [-33.326, -75.881],
  [-31.635, -75.425],
  [-30.009, -74.982],
  [-28.329, -74.562],
  [-27.0, -74.052],
  [-26.011, -73.57],
  [-23.979, -73.228],
  [-23.682, -72.598],
  [-22.353, -72.279],
  [-20.662, -71.968],
  [-19.332, -71.662],
  [-17.652, -71.361],
  [-16.312, -71.059],
  [-14.686, -70.901],
  [-13.522, -70.821],
  [-12.368, -70.609],
  [-11.325, -70.32],
  [-11.204, -70.057],
  [-12.017, -69.844],
  [-12.193, -69.558],
  [-11.49, -69.479],
  [-11.028, -69.765],
  [-10.512, -69.479],
  [-9.754, -69.297],
  [-8.996, -69.43],
  [-8.535, -69.978],
  [-7.37, -69.844],
  [-7.37, -69.351],
  [-6.854, -69.09],
  [-5.866, -69.09],
  [-6.041, -69.558],
  [-4.526, -69.558],
  [-3.021, -69.479],
  [-3.021, -69.012],
  [-2.559, -68.676],
  [-1.681, -68.804],
  [-1.044, -69.012],
  [-1.505, -69.297],
  [-0.692, -69.479],
  [0.0, -69.691],
  [1.263, -69.479],
  [2.603, -69.218],
  [3.471, -68.962],
  [4.635, -68.75],
  [6.261, -68.75],
  [7.305, -68.542],
  [8.634, -68.542],
  [9.974, -68.621],
  [11.248, -68.542],
  [12.588, -68.542],
  [14.269, -68.621],
  [15.609, -68.621],
  [16.938, -68.621],
  [18.278, -68.621],
  [19.958, -68.75],
  [21.408, -68.804],
  [22.924, -68.962],
  [24.605, -68.804],
  [25.242, -68.621],
  [26.923, -68.621],
  [28.263, -68.413],
  [29.943, -68.334],
  [31.217, -68.149],
  [31.92, -68.07],
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  [33.25, -67.673],
  [33.425, -67.405],
  [34.238, -67.349],
  [34.941, -67.617],
  [35.919, -67.935],
  [36.907, -68.07],
  [38.247, -68.149],
  [38.599, -68.542],
  [39.236, -68.199],
  [39.752, -67.804],
  [39.928, -67.536],
  [41.268, -67.267],
  [41.905, -67.0],
  [43.234, -66.726],
  [44.399, -66.669],
  [45.903, -66.669],
  [46.892, -66.533],
  [48.056, -66.586],
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  [50.374, -65.634],
  [51.363, -65.432],
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  [53.57, -65.08],
  [55.02, -65.169],
  [55.888, -65.432],
  [57.053, -65.574],
  [56.24, -65.86],
  [56.877, -65.999],
  [57.865, -66.058],
  [58.854, -66.196],
  [60.535, -66.339],
  [61.523, -66.533],
  [62.512, -66.586],
  [63.555, -66.449],
  [64.895, -66.533],
  [66.224, -66.669],
  [67.499, -66.726],
  [68.553, -66.726],
  [69.366, -66.586],
  [69.366, -67.0],
  [69.882, -67.349],
  [70.344, -67.673],
  [69.366, -67.804],
  [69.706, -68.149],
  [69.706, -68.542],
  [70.519, -68.883],
  [71.508, -68.804],
  [70.871, -68.542],
  [72.211, -68.279],
  [73.364, -68.149],
  [74.353, -68.199],
  [75.341, -68.334],
  [76.033, -68.07],
  [77.022, -67.804],
  [77.835, -67.754],
  [78.186, -67.267],
  [78.824, -67.083],
  [80.328, -66.861],
  [81.493, -66.726],
  [82.36, -66.339],
  [83.525, -66.196],
  [84.865, -66.058],
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  [87.534, -65.774],
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  [89.5, -65.86],
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  h=w/1.95
  screen.setup(w + 16, h + 8)  # etwas mehr Rand für die Fenster-Ränder
  screen.setworldcoordinates(-w/2.0, -h/2.0, w/2.0, h/2.0)
  z=len(k)
  tracer(0,0) # Bildschirmaktualisierung aus
  for i in range(z): 
    l= k[i][0]
    f= k[i][1]
    Penup=0
    if (0==i): Penup=1
    # Linienenden behandeln
    if (f>=900): 
      f=f-900
      Penup=1
    if (f<=-900): 
      f=f+900
      Penup=1
    l=l/180*pi
    f=f/180*pi
    worldpoint(-l,f,thickness,col, w, screen, Penup) # -l : Koordinaten der Liste sind "verkehrt herum"
  Penup=1    
  for i in range(-90,90):
    worldpoint(180/180.0*pi,i/180.0*pi,thickness+1,col, w, screen, Penup)
    Penup=0
  Penup=1
  for i in range(90,-91,-1):
    worldpoint(-180/180.0*pi,i/180.0*pi,thickness+1,col, w, screen, 0)
    Penup=0
  update()

'''
Beispiel:
screen = Screen()
print("Weltkarte: 10 Sekunden warten")
worldmap(2, "green", 1000, screen)

:
worldpoint(Lambda/180.0*pi,phi/180.0*pi,5,"blue", 1000, screen)
:
update()    
'''

    

Uwe Pilz, Februar 2025