b please 1. Construction of a fractal: Begin with the line segment [0, 1] (the initiator). To obtain thegenerator (the first iteration), replace the initiator with three line segments in a Z shape,each segment scaled by a factor r = 1//3. The first segment is rotated 30° anticlockwisewith respect to the initiator. The middle segment makes an angle of 60° with the firstand last segments (see Figure below and the arrows to help with the orientation of thesegments). On each of the three new segments of the generator apply the same procedureas for the initiator. Contimue applying this process infinitely often to obtain a (fractal)curve.60960(a) Sketch the second and third iteration in the above construction.(b) Determine the self-similarity dimension of the fractal.(c) Find the iterated function system (IFS) for the fractal curve.

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Answered: (b) Determine the self-similarity…

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(b) Determine the self-similarity dimension of the fractal.

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter6: Circles

Section6.3: Line And Segment Relationships In The Circle

Problem 39E: The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle...

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

b please

1. Construction of a fractal: Begin with the line segment [0, 1] (the initiator). To obtain the
generator (the first iteration), replace the initiator with three line segments in a Z shape,
each segment scaled by a factor r = 1//3. The first segment is rotated 30° anticlockwise
with respect to the initiator. The middle segment makes an angle of 60° with the first
and last segments (see Figure below and the arrows to help with the orientation of the
segments). On each of the three new segments of the generator apply the same procedure
as for the initiator. Contimue applying this process infinitely often to obtain a (fractal)
curve.
609
60
(a) Sketch the second and third iteration in the above construction.
(b) Determine the self-similarity dimension of the fractal.
(c) Find the iterated function system (IFS) for the fractal curve.

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