Question

draw the vertexes of a triangle and generate a list of the vertices

code is in python

use turtle graphics

Answer 1

The following python code Will randomly generate the verticies of the triangle using turtle graphics. Taking pairs of verticies in turn, Initially start a turtle at each heading toward the other. When the turtles collide (at the midpoint), it will eliminate one turtle and send the other toward the vertex not in the pair (totally with six turtles).

Program

from turtle import Turtle, Screen
from random import seed, randint

WIDTH, HEIGHT = 640, 480

def meet_in_the_middle(turtle_1, turtle_2):

    position_2 = turtle_2.position()

    while True:
        turtle_1.setheading(turtle_1.towards(turtle_2))
        turtle_1.forward(1)
        position_1 = turtle_1.position()
        if int(position_1[0]) == int(position_2[0]) and int(position_1[1]) == int(position_2[1]):
            break

        turtle_2.setheading(turtle_2.towards(turtle_1))
        turtle_2.forward(1)
        position_2 = turtle_2.position()
        if int(position_2[0]) == int(position_1[0]) and int(position_2[1]) == int(position_1[1]):
            break

seed()

screen = Screen()
screen.setup(WIDTH * 1.25, HEIGHT * 1.25)

vertices = []

for _ in range(3):
    x = randint(-WIDTH//2, WIDTH//2)
    y = randint(-HEIGHT//2, HEIGHT//2)
    vertices.append((x, y))

A, B, C = vertices

turtle_AtoB = Turtle(shape='turtle')
turtle_AtoB.penup()
turtle_AtoB.goto(A)
turtle_AtoB.pendown()

turtle_BtoA = Turtle(shape='turtle')
turtle_BtoA.penup()
turtle_BtoA.goto(B)
turtle_BtoA.pendown()

meet_in_the_middle(turtle_AtoB, turtle_BtoA)

turtle_BtoA.hideturtle()
turtle_AtoB.setheading(turtle_AtoB.towards(C))
turtle_AtoB.goto(C)
turtle_AtoB.hideturtle()


turtle_BtoC = Turtle(shape='turtle')
turtle_BtoC.penup()
turtle_BtoC.goto(B)
turtle_BtoC.pendown()

turtle_CtoB = Turtle(shape='turtle')
turtle_CtoB.penup()
turtle_CtoB.goto(C)
turtle_CtoB.pendown()

meet_in_the_middle(turtle_BtoC, turtle_CtoB)

turtle_CtoB.hideturtle()
turtle_BtoC.setheading(turtle_BtoC.towards(A))
turtle_BtoC.goto(A)
turtle_BtoC.hideturtle()


turtle_CtoA = Turtle(shape='turtle')
turtle_CtoA.penup()
turtle_CtoA.goto(C)
turtle_CtoA.pendown()

turtle_AtoC = Turtle(shape='turtle')
turtle_AtoC.penup()
turtle_AtoC.goto(A)
turtle_AtoC.pendown()

meet_in_the_middle(turtle_CtoA, turtle_AtoC)

turtle_AtoC.hideturtle()
turtle_CtoA.setheading(turtle_CtoA.towards(B))
turtle_CtoA.goto(B)
turtle_CtoA.hideturtle()

screen.exitonclick()