Start with a square of area 1 square foot. Use the Sierpinski square design where the original square is divided into 9 smaller squares. However, remove the middle outside squares.   After round 5, how many squares are there (not counting the removed ones)? Number of small squares:     After round 5, what is the area of this fractal?

PREALGEBRA
15th Edition
ISBN:9781938168994
Author:OpenStax
Publisher:OpenStax
Chapter10: Polynomials
Section10.1: Add And Subtract Polynomials
Problem 10.9TI: Add: 3x2+3y25x2
icon
Related questions
Question

Start with a square of area 1 square foot. Use the Sierpinski square design where the original square is divided into 9 smaller squares. However, remove the middle outside squares.

 
  1. After round 5, how many squares are there (not counting the removed ones)?
    Number of small squares:    
  2. After round 5, what is the area of this fractal?
    Area: 
Round 0
Round 1
↑
↑
Transcribed Image Text:Round 0 Round 1 ↑ ↑
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill