updated progress

cad_script.py

@@ -0,0 +1,51 @@
+from FreeCAD import Rotation, Base, newDocument
+
+doc = newDocument()
+
+
+def create_blade(radius_rod, diameter):
+	# set parameters (in mm)
+	# central rod
+	outer_radius = radius_rod
+	inner_radius = outer_radius / 2
+	height = diameter
+	
+	# blades
+	thickness = 1.5 
+	
+	rod = Part.makeCylinder(outer_radius, height, Base.Vector(0,0,0), Base.Vector(1,0,0))
+	
+	hole_template = Part.makeCylinder(inner_radius, height+2, Base.Vector(-1,0,0), Base.Vector(1,0,0))
+	
+	pierced_rod = rod.cut(hole_template)
+	del hole_template # remove the template
+	
+	# blades
+	blade_template = Part.makeCylinder(height/2, thickness, Base.Vector(height/2,0, -thickness/2))
+	#Part.show(blade_template)
+	
+	blades1 = blade_template.cut(rod)
+	blades2 = blades1.copy()
+	blades2.Placement.Rotation = Rotation(0, 0, 60)
+	blades3 = blades1.copy()
+	blades3.Placement.Rotation = Rotation(0, 0, -60)
+	
+	del blade_template # remove the template
+	
+	# show all the stuff we created just now
+	Part.show(pierced_rod)
+	Part.show(blades1)
+	Part.show(blades2)
+	Part.show(blades3)
+	
+	doc.recompute()
+
+# small dispensers
+radius_rod = 4.0
+diameter = 34.0
+create_blade(radius_rod, diameter)
+
+# big dispensers
+#radius_rod = 4.0
+#diameter = 94.0
+#create_blade(radius_rod, diameter)

prototype/circles.py

@@ -3,7 +3,79 @@ import matplotlib.pyplot as plt
 import math
 import operator
 
-N = 5 # number of enclosed circles
+# scale in inkscape
+# 1 unit = 0.283 mm
+scale = 1000.0/282.222
+
+def svg_circle(id, name, c, r):
+    # create circle object in svg notation
+    text = ['      <circle\n',
+            '       id="circle{}"\n'.format(id),
+            '       inkscape:label="{}"\n'.format(name),
+            '       style="fill:none;stroke:#000000;stroke-width:0.1mm"\n',
+            '       r="{}mm"\n'.format(r),
+            '       cy="{}mm"\n'.format(c[1]),
+            '       cx="{}mm" />\n'.format(c[0])]
+
+    return text
+
+def svg_half_circle(id, name, c, r, angle, orientation_flag=1):
+    # draws half a circle centered at c with radius r
+    # angle specifies how the half circle should be rotated
+    # for the default angle of zero, it draws the top half of the circle
+
+    # convert angle to radians
+    angle = angle/360.0 * 2.0 * np.pi
+
+    # compute starting point
+    v = np.array([np.cos(angle), np.sin(angle)])
+    begin = c + r * v   # in millimeters
+    begin *= scale      # in svg units
+
+    # compute end point
+    end = c - r * v     # in millimeters
+    end *= scale        # in svg units
+
+    radius_scaled = r * scale   # radius in svg units
+
+    text = ['      <path \n     '
+            '        id="path666" \n       '
+            '        style="fill:none;stroke:#ff0000;stroke-width:0.60000002" \n'
+            '        d="M {} {} A {} {} 0 {} {} {} {}"'
+            '      />\n'.format(begin[0], begin[1], radius_scaled, radius_scaled, orientation_flag, orientation_flag,
+                                end[0], end[1])]
+
+    return text
+
+def svg_arc(p1, p2, r,  large_arc, sweep):
+    begin = p1 * scale
+    end = p2 * scale
+    radius_scaled = r * scale
+    text = ['      <path \n     '
+            '        id="path666" \n       '
+            '        style="fill:none;stroke:#ff0000;stroke-width:0.60000002" \n'
+            '        d="M {} {} A {} {} 0 {} {} {} {}"'
+            '      />\n'.format(begin[0], begin[1], radius_scaled, radius_scaled, large_arc, sweep,
+                                end[0], end[1])]
+
+    return text
+
+def svg_rectangle(id, name, c, width, heigth, angle):
+    x = np.sqrt(c[0]**2 + c[1]**2) - width/2
+    y = - heigth
+    text = ['<g transform="rotate({})">\n '
+            '<rect x="{}mm" y="{}mm" width="{}mm" height="{}mm" style="fill:none;stroke-width:0.1mm;stroke:rgb(0,0,0)" />\n '
+            '</g>\n'
+                .format(angle, x, y ,width, heigth)]
+
+    return text
+
+
+def svg_line(p1, p2, width=1.0):
+    text = ['<line x1="{}mm" y1="{}mm" x2="{}mm" y2="{}mm" style="stroke:rgb(0,0,0);stroke-width:{}mm" />'.format(p1[0], p1[1], p2[0], p2[1], width)]
+
+    return text
+
 
 # this function reads and processes data for optimal circle packaging obtained form packomania.com
 def read_circle_data(N):
@@ -26,6 +98,7 @@ def read_circle_data(N):
 
     return radii[N], coords
 
+
 # this function sorts enclosed circle coordinates counter-clockwise w.r.t. the center point
 # TODO: there is a problem when circles are present that are not touching the boundary of the enclosing circle (e.g. N = 7)
 def sort_ccw(coords, center):
@@ -56,8 +129,15 @@ def compute_tangent_points(p, c, r):
 
     return (T1x, T1y), (T2x, T2y)
 
+
+class PlateLayout:
+    def __init__(self, N, plate_radius):
+        self.N = N # number of enclosed circles
+        self.plate_radius = plate_radius
+
+    def compute_layout(self):
         # read radius and center coordinates for enclosed circles
-rtilde, coords = read_circle_data(N)
+        rtilde, coords = read_circle_data(self.N)
 
         c = (0.0, 0.0)  # center of big circle
         R = 1.0        # radius of big circle
@@ -79,9 +159,9 @@ plt.gca().add_artist(circle)
         plt.plot(c[0], c[1], 'o')
 
         coords_2 = []
-for k in range(0, N):
+        for k in range(0, self.N):
             p1 = coords[k]
-    p2 = coords[(k+1) % N]
+            p2 = coords[(k+1) % self.N]
 
             # midpoint between center of two circles
             m = np.mean([p1, p2], axis=0)
@@ -134,68 +214,462 @@ for k in range(0, N):
             circle = plt.Circle(p, r, fill=False)
             plt.gca().add_artist(circle)
 
+        tube1 = {}
+        tube2 = {}
 
         # postprocessing solution:
         # - output radii for circles
         # - output center coordinates, angle w.r.t. origin and distance from origin
-outer_radius = 0.15 # desired plate radius in meters
+        outer_radius = self.plate_radius  # desired plate radius in meters
         tube1_radius = outer_radius * rtilde
         tube2_radius = outer_radius * r
 
         print("\n------------------")
-print("plate radius  = {:6.3} m = {:6.2f} mm".format(outer_radius, outer_radius * 1000))
+        print("optimal values")
+        print("plate radius  = {:6.3} m = {:6.2f} mm".format(outer_radius / 1000, outer_radius))
         print("big circles:")
-print("  radius = {:6.3} m = {:6.2f} mm".format(tube1_radius, tube1_radius * 1000))
-print("  diameter = {:6.3} m = {:6.2f} mm".format(2*tube1_radius, 2*tube1_radius * 1000))
-print("  coordinates:")
-for k in range(0,N):
-    x = coords[k][0] * 1000
-    y = coords[k][1] * 1000
-
-    t1, t2 = compute_tangent_points((0,0),(x,y), rtilde * 1000)
-    plt.plot(t1[0] / 1000, t1[1] / 1000, 'o')
-    plt.plot(t2[0] / 1000, t2[1] / 1000, 'o')
-
-    angle = arctan2(y,x) * 360.0 / (2.0 * math.pi)
-    dist = (x**2 + y**2)**0.5
-
-    angle_t1 = arctan2(t1[1], t1[0]) * 360.0 / (2.0 * math.pi)
-    dist_t1 = (t1[0] ** 2 + t1[1] ** 2) ** 0.5
-
-    angle_t2 = arctan2(t2[1], t2[0]) * 360.0 / (2.0 * math.pi)
-    dist_t2 = (t2[0] ** 2 + t2[1] ** 2) ** 0.5
-    print("   k = {},  (x,y) = ({:8.3f}, {:8.3f}),  angle = {:8.3f} deg,  dist = {:8.3f} mm".format(k, x, y, angle, dist))
-    print("              t1 = ({:8.3f}, {:8.3f}),  angle = {:8.3f} deg,  dist = {:8.3f} mm".format(t1[0], t1[1], angle_t1,
-                                                                                                 dist_t1))
-    print("              t2 = ({:8.3f}, {:8.3f}),  angle = {:8.3f} deg,  dist = {:8.3f} mm".format(t2[0], t2[1], angle_t2,
-                                                                                                 dist_t2))
-print("\n")
-
+        print("  radius = {:6.3} m = {:6.2f} mm".format(tube1_radius / 1000, tube1_radius))
+        print("  diameter = {:6.3} m = {:6.2f} mm".format(2 * tube1_radius / 1000, 2 * tube1_radius))
         print("small circles:")
         print("  radius = {:6.3} m = {:6.2f} mm".format(tube2_radius, tube2_radius * 1000))
         print("  diameter = {:6.3} m = {:6.2f} mm".format(2*tube2_radius, 2*tube2_radius * 1000))
-print("  coordinates:")
-for k in range(0,N):
-    x = coords_2[k][0] * 1000
-    y = coords_2[k][1] * 1000
 
-    t1, t2 = compute_tangent_points((0, 0), (x, y), r * 1000)
-    plt.plot(t1[0] / 1000, t1[1] / 1000, 'o')
-    plt.plot(t2[0] / 1000, t2[1] / 1000, 'o')
+        # compute coordinates and various measurements for fixed radii of plate and tubes
+        self.target_plate_radius = 160.0
+        self.target_center_hole_radius = 7.5
+        self.target_radius_1 = 50.5
+        self.target_radius_2 = 20.0
+        teeth = 200
+
+        D = 2 * self.target_plate_radius
+        self.plate_module = D/teeth
+
+        print("plate radius        = {:6.2f} mm".format(self.target_plate_radius))
+        print("big circle radius   = {:6.2f} mm".format(self.target_radius_1))
+        print("small circle radius = {:6.2f} mm".format(self.target_radius_2))
+
+        print("number of teeth: N = {}".format(teeth))
+        print("pitch diameter:  D = {} mm".format(D))
+        print("module:          M = {} mm".format(self.plate_module))
+
+
+        # parameters for dispenser gears
+        self.dispenser_module = 1.0
+        dispenser_1_target_pitch_diameter_big = 50.0
+        dispenser_1_target_pitch_diameter_small = 15.0
+        dispenser_1_teeth_big = int(dispenser_1_target_pitch_diameter_big/self.dispenser_module)
+        dispenser_1_teeth_small = int(dispenser_1_target_pitch_diameter_small/ self.dispenser_module)
+
+        dispenser_1_pitch_diameter_big = self.dispenser_module * dispenser_1_teeth_big
+        dispenser_1_outer_diameter_big = dispenser_1_pitch_diameter_big + 2 * self.dispenser_module
+        dispenser_1_pitch_diameter_small = self.dispenser_module * dispenser_1_teeth_small
+        dispenser_1_outer_diameter_small = dispenser_1_pitch_diameter_small + 2 * self.dispenser_module
+
+        dispenser_2_target_pitch_diameter_big = 20.0
+        dispenser_2_target_pitch_diameter_small = 15.0
+        dispenser_2_teeth_big = int(dispenser_2_target_pitch_diameter_big / self.dispenser_module)
+        dispenser_2_teeth_small = int(dispenser_2_target_pitch_diameter_small / self.dispenser_module)
+
+        dispenser_2_pitch_diameter_big = self.dispenser_module * dispenser_2_teeth_big
+        dispenser_2_outer_diameter_big = dispenser_2_pitch_diameter_big + 2 * self.dispenser_module
+        dispenser_2_pitch_diameter_small = self.dispenser_module * dispenser_2_teeth_small
+        dispenser_2_outer_diameter_small = dispenser_2_pitch_diameter_small + 2 * self.dispenser_module
+        print("parameters for dispenser gears:")
+        print(" big container:")
+        print("  module                      = {}".format(self.dispenser_module))
+        print("  pitch diameter big gear     = {}".format(dispenser_1_pitch_diameter_big))
+        print("  number of teeth big gear    = {}".format(dispenser_1_teeth_big))
+        print("  pitch diameter small gear   = {}".format(dispenser_1_pitch_diameter_small))
+        print("  number of teeth small gear  = {}".format(dispenser_1_teeth_small))
+        print(" small container:")
+        print("  module                      = {}".format(self.dispenser_module))
+        print("  pitch diameter big gear     = {}".format(dispenser_2_pitch_diameter_big))
+        print("  number of teeth big gear    = {}".format(dispenser_2_teeth_big))
+        print("  pitch diameter small gear   = {}".format(dispenser_2_pitch_diameter_small))
+        print("  number of teeth small gear  = {}".format(dispenser_2_teeth_small))
+
+        # plot plate
+        plt.figure(2)
+        plt.plot(0.0, 0.0, 'o')
+        circle = plt.Circle((0.0, 0.0), self.target_plate_radius, fill=False)
+        plt.gca().add_artist(circle)
+        plt.xlim((-self.target_plate_radius*1.1, self.target_plate_radius*1.1))
+        plt.ylim((-self.target_plate_radius*1.1, self.target_plate_radius*1.1))
+        plt.gca().set_aspect('equal', 'box')
+
+        # plate coordinates
+        print("plate coordinates: (x,y) = ({:8.3f}, {:8.3f})".format(0.0, 0.0))
+
+        self.tube_1_coords = {}
+        self.tube_2_coords = {}
+        self.tube_1_angles = {}
+        self.tube_2_angles = {}
+        self.tube_1_tangents = {}
+        self.tube_1_tangent_angles = {}
+        self.tube_1_cuts = {}
+        self.tube_2_tangents = {}
+        self.tube_2_tangent_angles = {}
+        self.tube_2_cuts = {}
+
+        print(" big circle coordinates:")
+        for k in range(0,self.N):
+            x = coords[k][0] * outer_radius
+            y = coords[k][1] * outer_radius
 
             angle = arctan2(y, x) * 360.0 / (2.0 * math.pi)
-    dist = (x ** 2 + y ** 2) ** 0.5
 
-    angle_t1 = arctan2(t1[1], t1[0]) * 360.0 / (2.0 * math.pi)
-    dist_t1 = (t1[0] ** 2 + t1[1] ** 2) ** 0.5
+            self.tube_1_coords[k] = (x,y)
+            self.tube_1_angles[k] = angle
 
-    angle_t2 = arctan2(t2[1], t2[0]) * 360.0 / (2.0 * math.pi)
-    dist_t2 = (t2[0] ** 2 + t2[1] ** 2) ** 0.5
-    print("   k = {},  (x,y) = ({:8.3f}, {:8.3f}),  angle = {:8.3f} deg,  dist = {:8.3f} mm".format(k, x, y, angle, dist))
-    print("              t1 = ({:8.3f}, {:8.3f}),  angle = {:8.3f} deg,  dist = {:8.3f} mm".format(t1[0], t1[1], angle_t1,
-                                                                                                 dist_t1))
-    print("              t2 = ({:8.3f}, {:8.3f}),  angle = {:8.3f} deg,  dist = {:8.3f} mm".format(t2[0], t2[1], angle_t2,
-                                                                                                 dist_t2))
+            print("   k = {},  (x,y) = ({:8.3f}, {:8.3f}),  angle = {:8.3f} deg".format(k, x, y, angle))
+
+            circle = plt.Circle((x,y), self.target_radius_1, fill=False)
+            plt.gca().add_artist(circle)
+
+        p1 = dispenser_1_pitch_diameter_big
+        p2 = dispenser_1_pitch_diameter_small
+        a1 = self.dispenser_module
+        a2 = self.dispenser_module
+        offset_1 = sqrt((p1 / 2 + p2 / 2) ** 2 - (p1 / 2 + a1) ** 2) - p2 / 2 - a2
+        print("dispenser 1 offset = {}".format(offset_1))
+
+        print(" big circle tangent points: ")
+        for k in range(0, self.N):
+            x = coords[k][0] * outer_radius
+            y = coords[k][1] * outer_radius
+
+            t1, t2 = compute_tangent_points((0, 0), (x, y), self.target_radius_1)
+
+            angle1_rad = arctan2(t1[1], t1[0])
+            angle2_rad = arctan2(t2[1], t2[0])
+            angle1_deg = angle1_rad * 360.0 / (2.0 * math.pi)
+            angle2_deg = angle2_rad * 360.0 / (2.0 * math.pi)
+
+            self.tube_1_tangents[k] = (t1, t2)
+            self.tube_1_tangent_angles[k] = (angle1_deg, angle2_deg)
+
+            print(
+            "   k = {},  t1 = ({:8.3f}, {:8.3f}),  angle = {:8.3f} deg\n           t2 = ({:8.3f}, {:8.3f}),  angle "
+            "= {:8.3f} deg".format(k, t1[0], t1[1], angle1_deg, t2[0], t2[1], angle2_deg))
+
+            plt.plot(t1[0], t1[1], 'o')
+            plt.plot(t2[0], t2[1], 'o')
+
+            ## compute position of cut for dispenser gear
+            # vector pointing from center in direction of tangent point
+            v = np.array([math.cos(angle1_rad), math.sin(angle1_rad)])
+
+            cut_center = np.array(t1) - v * (offset_1 + dispenser_1_outer_diameter_small/2.0)
+            self.tube_1_cuts[k] = {}
+            self.tube_1_cuts[k]['center'] = cut_center
+            self.tube_1_cuts[k]['tangent_point'] = t1
+            self.tube_1_cuts[k]['angle_deg'] = angle1_deg
+            self.tube_1_cuts[k]['length'] = dispenser_1_outer_diameter_small
+            self.tube_1_cuts[k]['width'] = 5.0
+
+            plt.plot(cut_center[0], cut_center[1], 'o')
 
 
             pass
+
+
+        print(" small circle coordinates:")
+        for k in range(0,self.N):
+            x = coords_2[k][0] * outer_radius
+            y = coords_2[k][1] * outer_radius
+
+            angle = arctan2(y, x) * 360.0 / (2.0 * math.pi)
+
+            self.tube_2_coords[k] = (x, y)
+            self.tube_2_angles[k] = angle
+
+            print("   k = {},  (x,y) = ({:8.3f}, {:8.3f}),  angle = {:8.3f} deg".format(k, x, y, angle))
+
+            circle = plt.Circle((x, y), self.target_radius_2, fill=False)
+            plt.gca().add_artist(circle)
+
+        p1 = dispenser_2_pitch_diameter_big
+        p2 = dispenser_2_pitch_diameter_small
+        a1 = self.dispenser_module
+        a2 = self.dispenser_module
+        offset_2 = sqrt((p1 / 2 + p2 / 2) ** 2 - (p1 / 2 + a1) ** 2) - p2 / 2 - a2
+        print("dispenser 2 offset = {}".format(offset_2))
+
+        print(" small circle tangent points: ")
+        for k in range(0, self.N):
+            x = coords_2[k][0] * outer_radius
+            y = coords_2[k][1] * outer_radius
+
+            t1, t2 = compute_tangent_points((0, 0), (x, y), self.target_radius_2)
+            angle1_rad = arctan2(t1[1], t1[0])
+            angle2_rad = arctan2(t2[1], t2[0])
+            angle1_deg = angle1_rad * 360.0 / (2.0 * math.pi)
+            angle2_deg = angle2_rad * 360.0 / (2.0 * math.pi)
+            self.tube_2_tangents[k] = (t1, t2)
+            self.tube_2_tangent_angles[k] = (angle1_deg, angle2_deg)
+
+            print("   k = {},  t1 = ({:8.3f}, {:8.3f}),  angle = {:8.3f} deg\n           t2 = ({:8.3f}, {:8.3f}),  angle "
+                  "= {:8.3f} deg".format(k, t1[0], t1[1], angle1_deg, t2[0], t2[1], angle2_deg))
+
+            plt.plot(t1[0], t1[1], 'o')
+            plt.plot(t2[0], t2[1], 'o')
+
+            ## compute position of cut for dispenser gear
+            # vector pointing from center in direction of tangent point
+            v = np.array([math.cos(angle1_rad), math.sin(angle1_rad)])
+
+            cut_center = np.array(t1) + v * (offset_2 + dispenser_2_outer_diameter_small/2.0)
+            self.tube_2_cuts[k] = {}
+            self.tube_2_cuts[k]['center'] = cut_center
+            self.tube_2_cuts[k]['tangent_point'] = t1
+            self.tube_2_cuts[k]['angle_deg'] = angle1_deg
+            self.tube_2_cuts[k]['length'] = dispenser_2_outer_diameter_small
+            self.tube_2_cuts[k]['width'] = 5.0
+
+            plt.plot(cut_center[0], cut_center[1], 'o')
+
+            pass
+    pass
+
+
+    """
+    input: file = svg with plate gear centered at (0,0)
+    """
+    def generate_svg(self, file):
+
+        f = open(file)
+        f_lines = f.readlines()
+        f.close()
+
+
+        circle_found = False
+        for k in range(len(f_lines)):
+            current_line = f_lines[k]
+
+            if 'transform' in current_line:
+                # rotate gear such that teeth match the cut lines
+                index = current_line.find('"\n')
+                f_lines[k] = current_line[0:index] + " rotate(0.9)" + current_line[-2:]
+
+            if 'd="m ' in current_line:
+                # remove center whole drawn by gear-dev
+                gear_data = current_line
+                index = gear_data.find('z') # end of path containing gear outline coordinates
+
+                f_lines[k] = gear_data[0:index+1] + gear_data[-2:]
+
+
+            if '<circle' in current_line:
+                circle_found = True
+
+            if circle_found and 'r=' in current_line:
+                # adjust center hole radius
+                f_lines[k] = '       r="{}mm"\n'.format(self.target_center_hole_radius)
+
+        # delete last line with </svg> command
+        f_lines.remove(f_lines[-1])
+
+        # output plate as svg
+        text = svg_circle(0, 'plate', (0,0), self.target_plate_radius)
+        f_lines = f_lines + text
+
+        output_all = False
+        if output_all:
+            f_lines = self.output_whole(f_lines)
+        else:
+            f_lines = self.output_segment(f_lines, 2)
+
+        f_lines.append('</svg>\n')
+
+        # write new svg image
+        fw = open('output.svg', 'w')
+        fw.writelines(f_lines)
+        fw.close()
+
+        pass
+
+    def output_segment(self, f_lines, k):
+
+        # k = which segment?
+        k_next = (k + 1) % 5
+
+        # center hole
+        a = self.tube_1_angles[k]
+        a = a / 360.0 * 2.0 * np.pi
+        vunit = np.array([np.cos(a), np.sin(a)])
+        p1 = vunit * self.target_center_hole_radius
+
+        a2 = self.tube_1_angles[k_next]
+        a2 = a2 / 360.0 * 2.0 * np.pi
+        vunit2 = np.array([np.cos(a2), np.sin(a2)])
+        p2 = vunit2 * self.target_center_hole_radius
+
+        text = svg_arc(p1, p2, self.target_center_hole_radius, 0, 1)
+        f_lines = f_lines + text
+
+
+        # big circles arcs
+        c = self.tube_1_coords[k]
+        angle = self.tube_1_angles[k]
+        text = svg_half_circle(k, 'big circle', c, self.target_radius_1, angle)
+        f_lines = f_lines + text
+
+        c = self.tube_1_coords[k_next]
+        angle = self.tube_1_angles[k_next]
+        text = svg_half_circle(k_next, 'big circle', c, self.target_radius_1, angle, orientation_flag=0)
+        f_lines = f_lines + text
+
+        # small circle
+        c = self.tube_2_coords[k]
+        text = svg_circle(k, 'small circle', c, self.target_radius_2)
+        f_lines = f_lines + text
+
+        # gear pos for big circle
+        c = self.tube_1_tangents[k_next]
+        circle_midpoint = self.tube_1_coords[k_next]
+        v = np.array(c[0]) - np.array(circle_midpoint)
+        v = v / np.linalg.norm(v)
+
+        marking_length = 5.0
+
+        p1 = c[0]
+        p2 = c[0] + v * marking_length
+
+        text = svg_line(p1, p2)
+        f_lines = f_lines + text
+
+        # rectangle for big circles
+        c = self.tube_1_cuts[k_next]
+        text = svg_rectangle(k_next, 'cut', c['center'], c['length'], c['width'], c['angle_deg'])
+        f_lines = f_lines + text
+
+        # gear pos for small circle
+        c = self.tube_2_tangents[k]
+        circle_midpoint = self.tube_2_coords[k]
+        v = np.array(c[0]) - np.array(circle_midpoint)
+        v = v/np.linalg.norm(v)
+
+        marking_length = 5.0
+
+        p1 = c[0]
+        p2 = c[0] + v * marking_length
+
+        text = svg_line(p1, p2)
+        f_lines = f_lines + text
+
+        # rectangle for small circles
+        c = self.tube_2_cuts[k]
+        text = svg_rectangle(k, 'cut', c['center'], c['length'], c['width'], c['angle_deg'])
+        f_lines = f_lines + text
+
+        # segment border (right)
+        a = self.tube_1_angles[k]
+        a = a / 360.0 * 2.0 * np.pi
+        r1 = np.linalg.norm(np.array(self.tube_1_coords[k])) - self.target_radius_1
+        vunit = np.array([np.cos(a), np.sin(a)])
+        p1 = vunit * self.target_center_hole_radius
+        p2 = vunit * r1
+        text = svg_line(p1, p2, 0.1)
+        f_lines = f_lines + text
+
+        r2 = np.linalg.norm(np.array(self.tube_1_coords[k])) + self.target_radius_1
+        p3 = vunit * r2
+        r3 = self.target_plate_radius - self.plate_module
+        p4 = vunit * r3
+        text = svg_line(p3, p4, 0.1)
+        f_lines = f_lines + text
+
+        # segment border (left)
+        a = self.tube_1_angles[k_next]
+        a = a / 360.0 * 2.0 * np.pi
+        r1 = np.linalg.norm(np.array(self.tube_1_coords[k_next])) - self.target_radius_1
+        vunit = np.array([np.cos(a), np.sin(a)])
+        p1 = vunit * self.target_center_hole_radius
+        p2 = vunit * r1
+        text = svg_line(p1, p2, 0.1)
+        f_lines = f_lines + text
+
+        r2 = np.linalg.norm(np.array(self.tube_1_coords[k_next])) + self.target_radius_1
+        p3 = vunit * r2
+        r3 = self.target_plate_radius - self.plate_module
+        p4 = vunit * r3
+        text = svg_line(p3, p4, 0.1)
+        f_lines = f_lines + text
+
+        return f_lines
+
+    def output_whole(self, f_lines):
+        # output big circles as svg
+        for k, c in self.tube_1_coords.items():
+            text = svg_circle(k, 'big circle', c, self.target_radius_1)
+            f_lines = f_lines + text
+            pass
+
+        # output small circles as svg
+        for k, c in self.tube_2_coords.items():
+            text = svg_circle(k, 'small circle', c, self.target_radius_2)
+            f_lines = f_lines + text
+            pass
+
+        # gear markings for big cirlces and small circles
+        for k, c in self.tube_1_tangents.items():
+            circle_midpoint = self.tube_1_coords[k]
+            v = np.array(c[0]) - np.array(circle_midpoint)
+            v = v/np.linalg.norm(v)
+
+            marking_length = 5.0
+
+            p1 = c[0]
+            p2 = c[0] + v * marking_length
+
+            text = svg_line(p1, p2)
+            f_lines = f_lines + text
+
+        for k, c in self.tube_2_tangents.items():
+            circle_midpoint = self.tube_2_coords[k]
+            v = np.array(c[0]) - np.array(circle_midpoint)
+            v = v/np.linalg.norm(v)
+
+            marking_length = 5.0
+
+            p1 = c[0]
+            p2 = c[0] + v * marking_length
+
+            text = svg_line(p1, p2)
+            f_lines = f_lines + text
+            pass
+
+        # output cuts for big circles
+        for k, c in self.tube_1_cuts.items():
+            text = svg_rectangle(k, 'cut', c['center'], c['length'], c['width'], c['angle_deg'])
+            f_lines = f_lines + text
+            pass
+
+        # output cuts for small circles
+        for k, c in self.tube_2_cuts.items():
+            text = svg_rectangle(k, 'cut', c['center'], c['length'], c['width'], c['angle_deg'])
+            f_lines = f_lines + text
+            pass
+
+        # lines for manufacturing out of multiple pieces
+        for k, a in self.tube_1_angles.items():
+            a = a/360.0 * 2.0 * np.pi
+            r1 = np.linalg.norm(np.array(self.tube_1_coords[k])) - self.target_radius_1
+            vunit = np.array([np.cos(a), np.sin(a)])
+            p1 = vunit * self.target_center_hole_radius
+            p2 = vunit * r1
+            text = svg_line(p1, p2, 0.1)
+            f_lines = f_lines + text
+
+            r2 = np.linalg.norm(np.array(self.tube_1_coords[k])) + self.target_radius_1
+            p3 = vunit * r2
+            r3 = self.target_plate_radius - self.plate_module
+            p4 = vunit * r3
+            text = svg_line(p3, p4, 0.1)
+            f_lines = f_lines + text
+
+            pass
+
+        return f_lines
+
+

prototype/notes.txt

@@ -0,0 +1,18 @@
+27.08.2019:
+ Next step: create template for lasercutter consisting of multiple segments (utilize rotation symmetry of the pieces -> compose plate of several segments)
+
+11.09.2019:
+Radius for big containers was extendend a bit, because tubes seem to be bigger than 10cm in diameter
+Lasercut segments for plate. Profile: FLB_Sperrholz_4mm_Natur_new
+
+Important: SVG produced by python script needs to be openend, transformed and saved in inkscape, otherwise import in CorelDraw fails
+
+In progress:
+- automate generation of plate segment
+
+TODO: 
+- stack 2 plates for better stability (add cuts at small circles)
+- second ring above the first plate to fix the containers and hide the gear mechanic (or manufacure them from acrylic to show the mechanic)
+- think about if stacked plate is to thick for a single gear (i.e. we may need two gears in order to transfer motion from below the plate to dispensers)
+- shovels for dispensers by cutting segments from a sphere
+- connectors for segments (jigsaw puzzle style)

prototype/plate.py

@@ -0,0 +1,56 @@
+import os
+from FreeCAD import Rotation, Base, newDocument
+
+os.chdir('/home/bt304019/programming/imaginaerraum/cerealist/prototype')
+
+from circles import PlateLayout
+
+N = 5
+plate_radius = 150.0
+plate_layout = PlateLayout(N, plate_radius)
+tube1, tube2 = plate_layout.compute_layout()
+
+print("tube1 = {}".format(tube1))
+print("tube2 = {}".format(tube2))
+
+# use slightly smaller radius so we have some gap
+tube1['radius'] = 50.0
+tube2['radius'] = 20.0
+
+doc = newDocument()
+
+# set parameters (in mm)
+height = 1.0
+
+# create plate
+plate = Part.makeCylinder(plate_radius, height, Base.Vector(0,0,0), Base.Vector(0,0,1))
+
+
+r = tube1['radius']
+for k in range(0,len(tube1['coords'].values())):
+	print(k)
+	v = Base.Vector(tube1['coords'][k][0], tube1['coords'][k][1], -1)
+	big_circle_template = Part.makeCylinder(tube1['radius'], height+2, v, Base.Vector(0,0,1))
+
+	plate = plate.cut(big_circle_template)
+	del big_circle_template # remove the template
+
+Part.show(plate)
+
+# blades
+blade_template = Part.makeCylinder(height/2, thickness, Base.Vector(height/2,0, -thickness/2))
+#Part.show(blade_template)
+
+blades1 = blade_template.cut(rod)
+blades2 = blades1.copy()
+blades2.Placement.Rotation = Rotation(0, 0, 90)
+
+del blade_template # remove the template
+
+# show all the stuff we created just now
+Part.show(pierced_rod)
+Part.show(blades1)
+Part.show(blades2)
+
+doc.recompute()
+

prototype/test.py

@@ -0,0 +1,5 @@
+from circles import PlateLayout
+
+p = PlateLayout(5, 150.0)
+p.compute_layout()
+p.generate_svg('plate_sketch.svg')

references.txt

@@ -0,0 +1,7 @@
+https://en.wikipedia.org/wiki/Circle_packing_in_a_circle
+
+https://geargenerator.com/
+
+http://hessmer.org/gears/InvoluteSpurGearBuilder.html
+
+https://forum.linuxcnc.org/31-cad-cam/36773-freecad-gear-modeling-and-design