TI-84 Plus CE Python: Polygon Path (ppath.py)
Introduction
The program PPATH:
Between two points:
1. Calculates the required leftward, counter-clockwise angle.
2. Calculates the distance to be traveled.
The path starts at the origin (0,0). You can create open paths or closed polygons. For polygons, add another point and include (0,0) as the last point.
TI-84 Plus CE Python Program: PPATH - Python (ppath)
Download the TI-84 Plus CE Python file here: https://drive.google.com/file/d/1QnPP9ikx45i7gAH22fTkFAmE-pBFQwTD/view?usp=sharing
Copy the code for a text file.
print("Poly Path \nEdward Shore")
# 2022-04-27
from math import *
from turtle import *
t=Turtle()
# t is required for turtle
from ti_system import *
# hide the grid
t.hidegrid()
# obtain the points
x=[0]
y=[0]
# angles
g=[0]
# degree difference
q=[0]
# distance
d=[0]
print("Point 0: (0,0)")
print("#_0 to #_n-1")
n=eval(input("# points? "))
for i in range(1,n):
a=eval(input("x"+str(i)+"? "))
b=eval(input("y"+str(i)+"? "))
x.append(a)
y.append(b)
r=sqrt((a-x[i-1])**2+(b-y[i-1])**2)
d.append(r)
m=degrees(atan2(b-y[i-1],a-x[i-1]))
v=m-g[i-1]
if v<0:
v+=360
g.append(m)
q.append(v)
r6=round(r,6)
m6=round(v,6)
print("Distance: "+str(r6))
print("Left Turn: "+str(m6)+"\u00b0")
print("\nPress [clear] to continue.")
disp_wait()
t.home()
t.pencolor(0,128,0)
# set speed
t.speed(4)
for i in range:
t.left(q[i])
t.forward(d[i])
t.done()
Notes:
1. Turtle is a add-in module for the TI-84 Plus CE Python, which must be downloaded. Download the Turtle module here: https://education.ti.com/en/product-resources/turtle-module/ti84ce-python
2. Calling the Turtle module automatically assigns the variable t to a drawing turtle by the line t=Turtle().
3. The ti_system module is exclusive to the TI-84 Plus CE. This allows the program to pause with the disp_wait command.
4. The underscore character ( _ ) can be typed by the [ 2nd ] [ (-) ] (ans) sequence.
5. The hashtag character ( # ) can be typed by the [ 2nd ] [ 3 ] (L3) sequence.
6. The line for i in range(1,n) starts a for loop with i taking the values from 1 to n-1. This is good for lists when the initial point (point 0) does not need further processing.
7. The default operating angle measurement in Python is Radians.
8. The angle difference, which tells us how many degrees to turn left, is normalized to the 0°-360° range. This is optional.
9. The line t.home() sets the turtle to point (0,0) and sets the turtle's orientation to 0° (facing right, forward on the x-axis).
10. The line t.done() shows the results of the turtle commands.
Examples
Example 1: Quadrilateral
Example 2: An Open Path
Enjoy!
Eddie
All original content copyright, © 2011-2022. Edward Shore. Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited. This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author.