def drawPolygon(x = 0, y = 0, radius = 50, numberOfSides = 3):
angle = 2 * math.pi / numberOfSides
# Connect points for the polygon
for i in range(numberOfSides + 1):
for j in range(numberOfSides + 1):
drawLine(x + radius * math.cos(i * angle),
y - radius * math.sin(i * angle),
x + radius * math.cos(j * angle),
y - radius * math.sin(j * angle))
def drawPolygon(x=0, y=0, radius=50, numberOfSides=3):
angle = 2 * math.pi / numberOfSides
# Connect points for the polygon
for i in range(numberOfSides + 1):
for j in range(numberOfSides + 1):
drawLine(x + radius * math.cos(i * angle),
y - radius * math.sin(i * angle),
x + radius * math.cos(j * angle),
y - radius * math.sin(j * angle))
def paintBranch(depth, x1, y1, length, angle):
if depth >= 0:
x2 = x1 + math.cos(angle) * length
y2 = y1 + math.sin(angle) * length
# Draw the line
drawLine([x1, y1], [x2, y2])
# Draw the left branch
paintBranch(depth - 1, x2, y2, length * sizeFactor, angle + angleFactor)
# Draw the right branch
paintBranch(depth - 1, x2, y2, length * sizeFactor, angle - angleFactor)
def paintBranch(depth, x1, y1, length, angle):
if depth >= 0:
x2 = x1 + math.cos(angle) * length
y2 = y1 + math.sin(angle) * length
# Draw the line
drawLine([x1, y1], [x2, y2])
# Draw the left branch
paintBranch(depth - 1, x2, y2, length * sizeFactor,
angle + angleFactor)
# Draw the right branch
paintBranch(depth - 1, x2, y2, length * sizeFactor,
angle - angleFactor)
def displayKochSnowFlake(order, p1, p2):
if order == 0:
# Draw a line
drawLine(p1, p2)
else:
# Get points x, y, z on the edge
deltaX = p2[0] - p1[0]
deltaY = p2[1] - p1[1]
x = [p1[0] + deltaX / 3, p1[1] + deltaY / 3]
y = [p1[0] + deltaX * 2 / 3, p1[1] + deltaY * 2 / 3]
z = [((p1[0] + p2[0]) / 2 - math.cos(math.radians(30)) * (p1[1] - p2[1]) / 3),
(int)((p1[1] + p2[1]) / 2 - math.cos(math.radians(30)) * (p2[0] - p1[0]) / 3)]
# Recursively display snow flakes on lines
displayKochSnowFlake(order - 1, p1, x)
displayKochSnowFlake(order - 1, x, z)
displayKochSnowFlake(order - 1, z, y)
displayKochSnowFlake(order - 1, y, p2)
def displayKochSnowFlake(order, p1, p2):
if order == 0:
# Draw a line
drawLine(p1, p2)
else:
# Get points x, y, z on the edge
deltaX = p2[0] - p1[0]
deltaY = p2[1] - p1[1]
x = [p1[0] + deltaX / 3, p1[1] + deltaY / 3]
y = [p1[0] + deltaX * 2 / 3, p1[1] + deltaY * 2 / 3]
z = [((p1[0] + p2[0]) / 2 - math.cos(math.radians(30)) *
(p1[1] - p2[1]) / 3),
(int)((p1[1] + p2[1]) / 2 - math.cos(math.radians(30)) *
(p2[0] - p1[0]) / 3)]
# Recursively display snow flakes on lines
displayKochSnowFlake(order - 1, p1, x)
displayKochSnowFlake(order - 1, x, z)
displayKochSnowFlake(order - 1, z, y)
displayKochSnowFlake(order - 1, y, p2)
def displayHShape(order, center, length):
if order >= 0:
p1 = [center[0] - length / 2, center[1] + length / 2]
p2 = [center[0] - length / 2, center[1] - length / 2]
p3 = [center[0] + length / 2, center[1] + length / 2]
p4 = [center[0] + length / 2, center[1] - length / 2]
# Draw an H shape
drawLine([center[0] - length / 2, center[1]],
[center[0] + length / 2, center[1]])
drawLine(p1, p2)
drawLine(p3, p4)
# Recursively display three H shape of a smaller order
displayHShape(order - 1, p1, length / 2)
displayHShape(order - 1, p2, length / 2)
displayHShape(order - 1, p3, length / 2)
displayHShape(order - 1, p4, length / 2)
def displayHShape(order, center, length):
if order >= 0:
p1 = [center[0] - length / 2, center[1] + length / 2]
p2 = [center[0] - length / 2, center[1] - length / 2]
p3 = [center[0] + length / 2, center[1] + length / 2]
p4 = [center[0] + length / 2, center[1] - length / 2]
# Draw an H shape
drawLine([center[0] - length / 2, center[1]],
[center[0] + length / 2, center[1]])
drawLine(p1, p2)
drawLine(p3, p4)
# Recursively display three H shape of a smaller order
displayHShape(order - 1, p1, length / 2)
displayHShape(order - 1, p2, length / 2)
displayHShape(order - 1, p3, length / 2)
displayHShape(order - 1, p4, length / 2)
''' @Date: 2019-11-26 20:31:42 @Author: ywyz @LastModifiedBy: ywyz @Github: https://github.com/ywyz @LastEditors: ywyz @LastEditTime: 2019-11-26 20:39:46 ''' from UsefulTurtleFunctions import drawLine import turtle drawLine(40, -69.28, -40, -69.28) drawLine(-40, -69.28, -80, -9.8) drawLine(-80, -9.8, -40, 69) drawLine(-40, 69, 40, 69) drawLine(40, 69, 80, 0) drawLine(80, 0, 40, -69.28) drawLine(40, -69.28, -80, -9.8) drawLine(40, -69.28, -40, -69) drawLine(40, -69.28, 40, 69) drawLine(-40, -69.28, -40, 69) drawLine(-40, -69.28, 40, 69) drawLine(-40, -69.28, 80, 0) drawLine(-80, -9.8, -40, 69) drawLine(-80, -9.8, 40, 69) drawLine(-80, -9.8, 80, 0) drawLine(-40, 69, 80, 0) turtle.done()
turtle.speed(0) # Fastest
# Draw a square function
scaleFactor = 0.01
left = -100
right = 100
x = left
turtle.penup()
turtle.goto(x, scaleFactor * x * x)
turtle.pendown()
for x in range(left, right + 1):
turtle.goto(x, scaleFactor * x * x)
# Draw X-axis
drawLine(-160, 0, 160, 0)
# Draw Y-axis
drawLine(0, -80, 0, 80)
# Display X
writeText("Y", 0, 80)
# Display Y
writeText("X", 180, -15)
# Draw arrows
turtle.degrees()
turtle.penup()
turtle.goto(160, 0)
turtle.pendown()
def drawPolygon(points):
drawPolyline(points)
drawLine(points[len(points) - 1], points[0]) # Close the polygon
def drawPolyline(points):
for i in range(len(points) - 1):
drawLine(points[i], points[i + 1])
def drawPolyline(points):
for i in range(len(points) - 1):
drawLine(points[i], points[i + 1])
def drawPolygon(points):
drawPolyline(points)
drawLine(points[len(points) - 1], points[0]) # Close the polygon
turtle.speed(0) # Fastest
# Draw a square function
scaleFactor = 0.01
left = -100
right = 100
x = left
turtle.penup()
turtle.goto(x, scaleFactor * x * x)
turtle.pendown()
for x in range(left, right + 1):
turtle.goto(x, scaleFactor * x * x)
# Draw X-axis
drawLine(-160, 0, 160, 0)
# Draw Y-axis
drawLine(0, -80, 0, 80)
# Display X
writeText("Y", 0, 80)
# Display Y
writeText("X", 180, -15)
# Draw arrows
turtle.degrees()
turtle.penup()
turtle.goto(160, 0)
turtle.pendown()
import turtle import math from UsefulTurtleFunctions import drawLine from UsefulTurtleFunctions import writeText turtle.speed(0) # Fastest # Draw X-axis drawLine(-220, 0, 220, 0) # Draw arrows turtle.degrees() turtle.setheading(150) turtle.forward(20) turtle.penup() turtle.goto(220, 0) turtle.pendown() turtle.setheading(-150) turtle.forward(20) # Draw Y-axis drawLine(0, -80, 0, 80) turtle.penup() turtle.goto(0, 80) turtle.pendown() turtle.setheading(240) turtle.forward(20) turtle.penup()
import turtle import math from UsefulTurtleFunctions import drawLine radius = 100 x1 = radius * math.cos(math.pi / 10) y1 = radius * math.sin(math.pi / 10) x2 = radius * math.cos(2 * math.pi / 5 + math.pi / 10) y2 = radius * math.sin(2 * math.pi / 5 + math.pi / 10) x3 = radius * math.cos(4 * math.pi / 5 + math.pi / 10) y3 = radius * math.sin(4 * math.pi / 5 + math.pi / 10) x4 = radius * math.cos(6 * math.pi / 5 + math.pi / 10) y4 = radius * math.sin(6 * math.pi / 5 + math.pi / 10) x5 = radius * math.cos(8 * math.pi / 5 + math.pi / 10) y5 = radius * math.sin(8 * math.pi / 5 + math.pi / 10) drawLine(x1, y1, x3, y3) drawLine(x1, y1, x4, y4) drawLine(x2, y2, x4, y4) drawLine(x2, y2, x5, y5) drawLine(x3, y3, x5, y5) turtle.hideturtle() turtle.done()
'''
@Date: 2019-11-26 19:35:42
@Author: ywyz
@LastModifiedBy: ywyz
@Github: https://github.com/ywyz
@LastEditors: ywyz
@LastEditTime: 2019-11-26 19:49:33
'''
import turtle
from math import pi, sin
from UsefulTurtleFunctions import drawLine, writeText
drawLine(-200, 0, 200, 0)
drawLine(175, 15, 200, 0)
drawLine(200, 0, 175, -15)
drawLine(0, 200, 0, -200)
drawLine(-15, 175, 0, 200)
drawLine(0, 200, 15, 175)
turtle.penup()
for x in range(-175, 176):
turtle.goto(x, 50 * sin((x / 100) * 2 * pi))
turtle.pendown()
writeText("-2\u03c0", -100, -15)
writeText("2\u03c0", 100, -15)
turtle.done()
import turtle import math from UsefulTurtleFunctions import drawLine from UsefulTurtleFunctions import writeText turtle.speed(0) # Fastest # Draw X-axis drawLine(-220, 0, 220, 0) # Draw arrows turtle.degrees() turtle.setheading(150) turtle.forward(20) turtle.penup() turtle.goto(220, 0) turtle.pendown() turtle.setheading(-150) turtle.forward(20) # Draw Y-axis drawLine(0, -80, 0, 80) turtle.penup() turtle.goto(0, 80) turtle.pendown() turtle.setheading(240) turtle.forward(20) turtle.penup()
