chaos_triangle.py

import turtle, random, math

s = turtle.getscreen()
s.bgcolor("#16161d")
t = turtle.Turtle(visible=False)
t.pencolor("white")
t.pensize(3)
t.speed(5)

##Corners & Borders
c1 = 0,200*math.sqrt(3)		#Changeable as c1 = x , y
c2 = 300,-100*math.sqrt(3)		#
c3 = -300,-100*math.sqrt(3)		#

crn = [c1,c2,c3]
chk = [[c1[0],c2[0],c3[0]],[c1[1],c2[1],c3[1]]]
bminx = min(chk[0])
bmaxx = max(chk[0])
bminy = min(chk[1])
bmaxy = max(chk[1])

##Draw triangle
t.penup()
t.goto(c3[0],c3[1])
t.pendown()

for drwcrn in crn:
    t.goto(drwcrn[0],drwcrn[1])

##First Dot
t.speed(0)
t.pensize(1)
t.penup()
while True:
    xd = random.uniform(bminx, bmaxx)
    yd = random.uniform(bminy, bmaxy)

    def area(a,b,c,d,e,f):
        return abs(a*d+c*f+e*b-c*b-e*d-a*f)/2

    at = area(c1[0],c1[1],c2[0],c2[1],c3[0],c3[1])
    a1 = area(c1[0],c1[1],c2[0],c2[1],xd,yd)
    a2 = area(c1[0],c1[1],c3[0],c3[1],xd,yd)
    a3 = area(c2[0],c2[1],c3[0],c3[1],xd,yd)

    if a1+a2+a3==at:    
        break
t.goto(xd,yd)
t.dot("red")

##Dots
t.pensize(0.1)
while True:
    rcr = random.choice(crn)
    xt = (rcr[0]+t.pos()[0])/2
    yt = (rcr[1]+t.pos()[1])/2
    t.goto(xt,yt)
    t.dot("#00ff00")