(a) Find the number of sides of Pn. (b) Find the length of each side of P. (c) Find the perimeter L, of Pn.
(a) Find the number of sides of Pn. (b) Find the length of each side of P. (c) Find the perimeter L, of Pn.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Sequences and Series - parts a-c
Transcribed Image Text:(a) Find the number of sides of Pn.
(b) Find the length of each side of P.
(c) Find the perimeter L, of Pn.
Transcribed Image Text:Consider an equilateral triangle Po whose sides have length 1. For each nonnegative integer
obtain a polygon Pn+1 from Pn by applying the following steps to each line segment in P.
1. divide the line segment into three segments of equal length.
2. draw an equilateral triangle that has the middle segment from step 1 as its base and po
outward.
3. remove the line segment that is the base of the triangle from step 2.
See the figure below.
As n → o the polygons Po, P1, P2, ... approach the fractal curve shown in the figure belov
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