Use Python and Turtle and Random library to draw the 50 random Rhombus shapes as shown in the following figure.
Hints:
Related Projects:
Write a program that draw a diamonds suit shape with Python and Turtle. Please note that four sides are curves not straight lines.
A more challenging task is to make a function that draws a diamond shape at any center location , width, height, and arc angle. For example the diamond shape above has width/height ratio of 3/4 and four sides are arcs with 20 degree angle. You may need to apply basic trigonometry knowledge to solve this problem.
Source Code:
import turtle
import math
screen = turtle.Screen()
screen.title('Diamond Shape - PythonTurtle.Academy')
screen.setup(1000,1000)
screen.setworldcoordinates(-1000,-1000,1000,1000)
turtle.speed(0)
turtle.hideturtle()
def diamond(x,y, width, height, angle):
turtle.up()
turtle.color('red')
turtle.goto(x,y-height/2)
d = ((width/2)**2 + (height/2)**2)**0.5
radius = d*0.5/math.sin(math.radians(angle/2))
turtle.down()
turtle.begin_fill()
turtle.seth(turtle.towards(x-width/2,y)-angle/2)
turtle.circle(radius, angle,20)
turtle.seth(turtle.towards(x,y+height/2)-angle/2)
turtle.circle(radius, angle,20)
turtle.seth(turtle.towards(x+width/2,y)-angle/2)
turtle.circle(radius, angle,20)
turtle.seth(turtle.towards(x,y-height/2)-angle/2)
turtle.circle(radius, angle,20)
turtle.end_fill()
diamond(0,0,1200,1600,20)
The figure above shows, we can draw a simple heart shape with 4 segments: 2 lines and 2 arcs. We can continuously draw these 4 segments without lifting up the pen.
We start from the bottom tip of the heart. The heading for the blue line is 45 degrees. The second segment is 225 degree arc. After initial 45 degree heading and 225 degree turn, the heading of the turtle will be a 45+225=270 degrees, which is facing down perfectly. The rest of the two segments are symmetric to the first two. All we need to do is just turn the Turtle by 180 degrees before drawing the 3rd segment.
The next step is to figure out the ratio of blue segment and the radius of the arc. In the figure above, a triangle formed by two black lines and the blue line is a right triangle. The angle between two black lines is (360-225)/2 = 67.5 degrees, where 225 is the degree of the arc. Therefore, the ratio of blue line segment and the radius equals to tangent(67.5).
Here is the code:
import turtle
import math
turtle.color('red')
d = 800
r = d/math.tan(math.radians(67.5))
turtle.up()
turtle.goto(0,-600)
turtle.seth(45)
turtle.down()
turtle.fd(d)
turtle.circle(r,225)
turtle.left(180)
turtle.circle(r,225)
turtle.fd(d)You can easily draw a filled heart by calling begin_fill() and end_fill() functions:
turtle.color('red')
d = 800
r = d/math.tan(math.radians(67.5))
turtle.up()
turtle.goto(0,-600)
turtle.seth(45)
turtle.begin_fill()
turtle.down()
turtle.fd(d)
turtle.circle(r,225)
turtle.left(180)
turtle.circle(r,225)
turtle.fd(d)
turtle.end_fill()
Related Projects:
Generalize the three overlapping circles project by letting it draw any number of overlapping circles. The following is the overlapping circles from size 2 to size 7.
import turtle
import math
screen = turtle.Screen()
screen.title('N Overlapping Circles - PythonTurtle.Academy')
screen.setup(1000,1000)
turtle.hideturtle()
turtle.speed(0)
turtle.pensize(2)
def draw_circle(x,y,radius):
turtle.up()
turtle.goto(x,y-radius)
turtle.seth(0)
turtle.down()
turtle.circle(radius,steps=360)
r = 150
n = 3
r2 = r/2/math.sin(math.radians(180/n))
angle = 90
for _ in range(n):
draw_circle(r2*math.cos(math.radians(angle)),
r2*math.sin(math.radians(angle)),
r)
angle += 360/nKnowing how to draw a football shape, draw a sixteen petal flower with loop and custom function.
Code:
import turtle
turtle.title('Sixteen Petals - PythonTurtle.Academy')
turtle.setworldcoordinates(-2000,-2000,2000,2000)
def draw_football(x,y,tilt,radius):
turtle.up()
turtle.goto(x,y)
turtle.down()
turtle.seth(tilt-45)
turtle.circle(radius,90)
turtle.left(90)
turtle.circle(radius,90)
for tilt in range(0,360,30):
draw_football(0,0,tilt,1000)
This is another optical illusion that eyes perceive an white triangle occluding triangle pointing upward.
The bar in the middle seems to get darker from left to right. Actually, the bar as the same brightness. Write a Python Turtle program that draw this illusion called – Gradient Illusion.
What do you see? Draw this simple shape. Check out this Wikipedia article to know more about this illusion.
import turtle
screen = turtle.Screen()
screen.setup(500,500)
screen.title('Hermann Grid Illusion - PythonTurtle.Academy')
screen.tracer(0)
turtle.hideturtle()
turtle.speed(0)
turtle.bgcolor('black')
turtle.pensize(4)
turtle.color('light gray')
for x in range(-502,500,25):
turtle.up()
turtle.goto(x,-500)
turtle.down()
turtle.seth(90)
turtle.fd(1000)
for y in range(-502,500,25):
turtle.up()
turtle.goto(-500,y)
turtle.down()
turtle.seth(0)
turtle.fd(1000)
turtle.up()
for x in range(-502,500,25):
for y in range(-502,500,25):
turtle.goto(x,y)
turtle.dot('white')
screen.update()
Draw a house covered in snow with snowflakes and snowman!
