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############################################
# Made by Jakob Stendahl
# Feel free to comit and add your name :[]
############################################
# Imports
import turtle
import math
def setup():
global startPosition # Et referansepunkt for sentrum + radius
global center # Et array med koordinatene til sentrum "0, 0" trengs for noen funksjoner
global radiusInt # Hvor stor radiusen er
global pointsInt # Hvor mange punkter det skal vaere rundt sirkelbuen
global multiplier # Hva gjeldene punkt skal ganges med for aa finne motstaaende punkt
global pointsArray # Array med plasseringen til alle punktene paa sirkelbuen
global differAngle # Vinkelen mellom hvert punkt fra sentrum
global currentHeading
center = (0, 0)
radiusInt = 375
pointsInt = 700
multiplier = 2
pointsArray = [[0 for x in range(pointsInt)] for x in range(pointsInt)]
def drawPolygon(t, sideLength, numSides):
turnAngle = 360 / numSides
for i in range(numSides):
t.forward(sideLength)
t.right(turnAngle)
def drawCircle(anyTurtle, radius):
circumference = 2 * 3.14159265359 * radius
sideLength = circumference / 360
drawPolygon(anyTurtle, sideLength, 360)
def calculatePoints(center, radius, intPoints, t, dots, update):
global differAngle
fullCircle = 360
differAngle = float(fullCircle) / float(pointsInt)
currDegree = 30 # sett til 90 for aa starte fra toppen
for i in xrange(pointsInt):
t.setx(0)
t.sety(0)
t.setheading(currDegree)
# t.pendown()
t.forward(radiusInt)
# t.penup()
currDegree = currDegree - differAngle
if dots:
t.dot()
if update:
turtle.update()
print t.pos()
pointsArray[i][0] = t.pos()[0]
pointsArray[i][1] = t.pos()[1]
def drawChord(t, update, animation):
global currentHeading
currentPoint = 1
t.setheading(0)
currentHeading = 0
if animation:
t.tracer(True)
for i in pointsArray:
nextPoint = currentPoint*multiplier
while True:
if nextPoint <= pointsInt:
break
if nextPoint >= (pointsInt):
nextPoint = nextPoint - pointsInt
x = nextPoint-currentPoint
angleMultiplier = differAngle*x
chordLengthOne = (radiusInt**2+radiusInt**2-2*radiusInt*radiusInt*math.cos(math.radians(angleMultiplier))) # a = radius^2 + radius^2 - 2 * radius * radius * cosVinkel
chordLengthOne = math.sqrt(chordLengthOne)
t.setx(i[0])
t.sety(i[1])
nextPointHeading = t.towards(pointsArray[nextPoint-1][0], pointsArray[nextPoint-1][1])
t.setheading(nextPointHeading)
t.setx(i[0])
t.sety(i[1])
if update:
turtle.update()
t.pendown()
t.forward(chordLengthOne)
t.penup()
currentPoint = currentPoint + 1
if currentPoint > (pointsInt):
break
def main():
# Definer "skilpadde"
wn = turtle.Screen()
wheel = turtle.Turtle()
# Skru av tegne-animasjon
wheel.tracer(False)
# Faa sirkelen til aa starte aa tegnes radius fra sentrum
wheel.penup()
wheel.sety(radiusInt)
startPosition = wheel.pos()
# Tegn teksten
wheel.penup()
wheel.setx(-300)
currXY = wheel.pos()
wheel.pendown()
wheel.write("Radius: " + str(radiusInt))
wheel.penup()
wheel.sety(currXY[1] - 10)
wheel.pendown()
wheel.write("Points: " + str(pointsInt))
wheel.penup()
wheel.sety(currXY[1] - 20)
wheel.pendown()
wheel.write("Multiplier: " + str(multiplier))
wheel.penup()
# Tegn sirkelen
wheel.goto(startPosition)
wheel.pendown()
drawCircle(wheel, radiusInt)
wheel.penup()
# Calculate points
calculatePoints(center, radiusInt, pointsInt, wheel, False, False)
# tegn korder
drawChord(wheel, True, False)
# Skjul skilpadden
wheel.hideturtle()
# Refresh screen
turtle.update()
wn.exitonclick()
setup()
main()
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