1 12687dd9 2023-08-04 jrmu ;; The first three lines of this file were inserted by DrScheme. They record metadata
 2 12687dd9 2023-08-04 jrmu ;; about the language level of this file in a form that our tools can easily process.
 3 12687dd9 2023-08-04 jrmu #reader(lib "htdp-intermediate-lambda-reader.ss" "lang")((modname |27.1|) (read-case-sensitive #t) (teachpacks ((lib "draw.ss" "teachpack" "htdp") (lib "arrow.ss" "teachpack" "htdp") (lib "gui.ss" "teachpack" "htdp"))) (htdp-settings #(#t constructor repeating-decimal #f #t none #f ((lib "draw.ss" "teachpack" "htdp") (lib "arrow.ss" "teachpack" "htdp") (lib "gui.ss" "teachpack" "htdp")))))
 4 12687dd9 2023-08-04 jrmu ;; sierpinski : posn posn posn -> true
 5 12687dd9 2023-08-04 jrmu ;; Given a, b, and c (posns), draw the triangle specified by the 3 posns and then use generative recursion to draw the nested triangles.  Return true once the triangles become too small to draw.
 6 12687dd9 2023-08-04 jrmu 
 7 12687dd9 2023-08-04 jrmu (define (sierpinski a b c)
 8 12687dd9 2023-08-04 jrmu   (cond
 9 12687dd9 2023-08-04 jrmu     [(too small? a b c) true]
10 12687dd9 2023-08-04 jrmu     [else (and (draw-triangle a b c)
11 12687dd9 2023-08-04 jrmu                (sierpinski a a-b a-c)
12 12687dd9 2023-08-04 jrmu                (sierpinski b a-b b-c)
13 12687dd9 2023-08-04 jrmu                (sierpinski c a-c b-c))]))