A mirror design consists of a square composed of four equilateral triangles, as shown below. galwolleh adi aut CODE regard two such mirrors as the same if one can be rotated to give the
A mirror design consists of a square composed of four equilateral triangles, as shown below. galwolleh adi aut CODE regard two such mirrors as the same if one can be rotated to give the
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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Question
![A mirror design consists of a square mirror with a decorative surround
composed of four equilateral triangles, as shown below.
dan M
seios gatvolled od aut
xl 7 of
We regard two such mirrors as the same if one can be rotated to give the
other. A mirror cannot be turned over to give another mirror.
INFO KOT
(a) Use the Counting Theorem to determine how many different such
mirrors can be made if each triangle can be coloured blue, yellow or
green.
(b) Sketch each of the different such mirrors with exactly two green
triangles, one blue triangle and one yellow triangle.
k](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ac9dc76-28dc-4d11-9e57-18b906b03777%2F10025f9d-94fb-4f3f-8b60-7ba0680658ab%2F74566vk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A mirror design consists of a square mirror with a decorative surround
composed of four equilateral triangles, as shown below.
dan M
seios gatvolled od aut
xl 7 of
We regard two such mirrors as the same if one can be rotated to give the
other. A mirror cannot be turned over to give another mirror.
INFO KOT
(a) Use the Counting Theorem to determine how many different such
mirrors can be made if each triangle can be coloured blue, yellow or
green.
(b) Sketch each of the different such mirrors with exactly two green
triangles, one blue triangle and one yellow triangle.
k
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