Category Archives: Difficulty Level 4

Circle of Isosceles Triangles with Python and Turtle

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Use the Isosceles triangle function created in this project, draw the circle of isosceles triangles as shown below. Your code should easily change the number of triangles, and radius and height of the triangles.

Source Code:

from turtle import *
import math
import random

title('Isosceles Triangle Circle - PythonTurtle.Academy')
setup(1000,1000)
setworldcoordinates(-500,-500,500,500)
hideturtle()
tracer(0,0)

# x,y is the center of the base, width: length of base, height: height of triangle from the top to base
# direction:direction from the center of base to top
def IsoscelesTriangle(x,y,width,height,direction,c):
    up()
    goto(x,y)
    seth(direction-90)
    fd(width/2)
    p1x, p1y = xcor(), ycor() # first point: bottom right
    back(width)
    p2x, p2y = xcor(), ycor() # second point: bottom left
    goto(x,y)
    seth(direction)
    fd(height)
    p3x, p3y = xcor(), ycor() # third point: top
    goto(p1x,p1y)
    down()
    fillcolor(c)
    begin_fill()
    goto(p2x,p2y)
    goto(p3x,p3y)
    goto(p1x,p1y)
    end_fill()

n=12
r=300
width=2*r*math.sin(math.radians(180/n))
height=200
for i in range(n):    
    IsoscelesTriangle(r*math.cos(math.radians(180/n))*math.cos(math.radians(i*360/n)),
                      r*math.cos(math.radians(180/n))*math.sin(math.radians(i*360/n)),width,height,i*360/n,'blue')
    
update()

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Isosceles Triangle Madness

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Use Python and Turtle and Random library to draw the 50 random isosceles triangles as shown in the following figure.

50 Random Isosceles Triangles

Hints:

  • Make a function that draws isosceles triangle given the center of the base, length of the base, height, and the direction from the base to the top of the triangle.
  • Use random library’s uniform function to generate positions, size, direction, and color.

Source Code:

from turtle import *
import math
import random

title('Isosceles Triangle Madness - PythonTurtle.Academy')
setup(1000,1000)
setworldcoordinates(-500,-500,500,500)
hideturtle()
tracer(0,0)

# x,y is the center of the base, width: length of base, height: height of triangle from the top to base
# direction:direction from the center of base to top
def IsoscelesTriangle(x,y,width,height,direction,c):
    up()
    goto(x,y)
    seth(direction-90)
    fd(width/2)
    p1x, p1y = xcor(), ycor() # first point: bottom right
    back(width)
    p2x, p2y = xcor(), ycor() # second point: bottom left
    goto(x,y)
    seth(direction)
    fd(height)
    p3x, p3y = xcor(), ycor() # third point: top
    goto(p1x,p1y)
    down()
    fillcolor(c)
    begin_fill()
    goto(p2x,p2y)
    goto(p3x,p3y)
    goto(p1x,p1y)
    end_fill()

for _ in range(50):
    IsoscelesTriangle(random.uniform(-400,400),random.uniform(-400,400),
                      random.uniform(30,300), random.uniform(30,300),
                      random.uniform(0,360),
                      (random.uniform(0,1),random.uniform(0,1),random.uniform(0,1)))
              
update()

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