''' Calculation over the Square of Oma Falks Puzzle. For more Information look at the Comments. Input the Size of the Square or leave Input empty for standard Size. |--------------------| | / | | I / II | | / | |-------<------------| | \ | | III \ IV | | \ | |--------------------| ''' def square (a): # Returns the Surface of a Square of a x a return a ** 2 def tri (a, b): # Returns the Surface of an Triangle with Groundline a and Hight of b return a * b / 2 def calculate (size, cord): #The northern Surfaces (I and II) is half the square plus / minus the triangle below. I_II = square (size) / 2 + tri (size, cord [1] - size / 2) # The Southern Surface (III and IV) is the Difference between the whole Square and the northern Surface. III_IV = square (size) - I_II # The western Surface (I and III) is half the square plus / minus the triangle on the right side. I_III = square (size) / 2 + tri (size, cord [0] - size / 2) # The eastern Surface (II and IV) is the Difference between the whole Square and the western SurfaceI. II_IV = square (size) - I_III # Northern minus eastern Surface is the Difference between I and IV. I_IV = I_II - II_IV # Northern minus western Surface is the Difference between II and III. II_III = I_II - I_III () # The Sum of the opposite Sectors (I and IV / II and III) is always half of the Surface of the Square. I = square (size) / 4 + I_IV / 2 II = square (size) / 4 + II_III / 2 III = square (size) / 4 - II_III / 2 IV = square (size) / 4 - I_IV / 2 # Collect all Results in a Dictionary. return {'N': I_II, 'S': III_IV, 'W': I_III, 'E': II_IV, 'NW-SE': I_IV, 'NE-SW':II_III, 'I': I, 'II': II, 'III': III, 'IV': IV} # Input of the Dimensions of the Square: size = int(input ('Size of the Square: ') or 10) cord = ((size / 3), (size / 1.3)) # The Function 'calculate' returns all Results in a Dictionary dim = calculate (size, cord) # Formated Output of the Results: print() print ('{}: {} x {}'.format('Square', size, size)) print ('{}: x-Axis {} | y-Axis {}\n'. format('Cordinates', round(cord[0]), round(cord[1]))) print () print ('{:<32} {}'.format('The Square has a total Size of', round(square(size),2))) print () print ('{:<32} {}'.format('Northern Surface (I+II):', round(dim['N'],2))) print ('{:<32} {}'.format('Southern Surface (III+IV):', round(dim['S'],2))) print ('{:<32} {}'.format('Western Surface (I+III)', round(dim['W'],2))) print ('{:<32} {}'.format('Eastern Surface (II+IV):', round(dim['E'],2))) print () print ('{:<32} {}'.format('Difference between I and IV:', round(dim['NW-SE'],2)), end = '') print (' => both Sectors are eaqual') if dim['NW-SE'] == 0 else print () print ('{:<32} {}'.format('Difference between II and III:', round(dim['NE-SW'],2)), end = '') print (' => both Sectors are eaqual') if dim['NE-SW'] == 0 else print () print () print ('{:<32} {}'.format('Size of Sector I:', round(dim['I'],2))) print ('{:<32} {}'.format('Size of Sector II:', round(dim['II'],2))) print ('{:<32} {}'.format('Size of Sector III:', round(dim['III'],2))) print ('{:<32} {}'.format('Size of Sector IV:', round(dim['IV'],2)))

Oma Falk Puzzle Devided Square