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Math 107 Fractal HWS Name Read all directions before answering a question. Try to show your work and pictures on this sheet of paper. 1) Suppose that four identical equilateral triangles are placed together edge to edge to form a new larger equilateral triangle. a) Draw a picture of the new triangle showing the smaller triangles that were used to form it. b) Find the scale factor. c) Find the dimension.

Math 107 Fractal HWS Name Read all directions before answering a question. Try to show your work and pictures on this sheet of paper. 1) Suppose that four identical equilateral triangles are placed together edge to edge to form a new larger equilateral triangle. a) Draw a picture of the new triangle showing the smaller triangles that were used to form it. b) Find the scale factor. c) Find the dimension.

Advanced Engineering Mathematics
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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Math 107 Fractal HWS Read all directions before answering a question. Try to show your work and pictures on this sheet of paper. 1) Suppose that four identical equilateral triangles are placed together edge to edge to form a new larger equilateral triangle. a) Draw a picture of the new triangle showing the smaller triangles that were used to form it. b) Find the scale factor. Initlator 2) Use the initiator and generator shown to draw the next two stages of the iterated fractal. Don't be afraid to overlap lines and using graph paper might be helpful. If using a different sheet of paper, be sure to include it to this sheet. Name generator b) Find the scale factor. c) Find the dimension. 3) A fractal is formed in the following way: a) Start with a square as the initiator. Divide the square into 9 smaller squares of equal size and remove the center and corner squares by coloring them in to illustrate the generator. Repeat the generator in each empty square to get next two stages of the fractal. 1 c) Find the dimension.
Transcribed Image Text:Math 107 Fractal HWS Read all directions before answering a question. Try to show your work and pictures on this sheet of paper. 1) Suppose that four identical equilateral triangles are placed together edge to edge to form a new larger equilateral triangle. a) Draw a picture of the new triangle showing the smaller triangles that were used to form it. b) Find the scale factor. Initlator 2) Use the initiator and generator shown to draw the next two stages of the iterated fractal. Don't be afraid to overlap lines and using graph paper might be helpful. If using a different sheet of paper, be sure to include it to this sheet. Name generator b) Find the scale factor. c) Find the dimension. 3) A fractal is formed in the following way: a) Start with a square as the initiator. Divide the square into 9 smaller squares of equal size and remove the center and corner squares by coloring them in to illustrate the generator. Repeat the generator in each empty square to get next two stages of the fractal. 1 c) Find the dimension.
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