@jinxonik / UniLecs #86

SqrInRect.py

# Get maximum side size of three squares inside rectangle with specified width and height
def sqr3_side_in_rect(x, y):
  # assume:
  #   length (of rectangle) = maximum of x and y
  #   width (of rectangle) = minimum of x and y
  #
  # if width divided by 2 is more than
  # minimum of (length divided by 3) and width
  # we'll cut by this scheme:
  # +-----+-----+--+
  # |%%%%%|%%%%%|  |
  # |%%%%%|%%%%%|  |
  # +-----+-----+--+
  # |%%%%%|        |
  # |%%%%%|        |
  # +-----+--------+
  # else we'll cut by this scheme:
  # +-----+-----+-----+
  # |%%%%%|%%%%%|%%%%%|
  # |%%%%%|%%%%%|%%%%%|
  # +-----+-----+-----+
  # |                 |
  # +-----------------+
  return max(min(x, y)/2, min(max(x, y)/3, min(x, y)))

for r in ((210,297),(250,100),(10,100),(5,5)):
  w, h = r
  print('Rect width = %f, height = %f, square side = %f' % (w, h, sqr3_side_in_rect(w, h)))