5 Consider a ¹3 with vertices labeled as below. There are twelve symmetries of this object Six reflections) (six rotations and group regular hexagon 2 and taken together, form twelve elements, G. a with Call this group Q1] Regarding each of the twelve symmetries as an element of S6 (a permutation of the ver write the element in cycle notation cortices),
5 Consider a ¹3 with vertices labeled as below. There are twelve symmetries of this object Six reflections) (six rotations and group regular hexagon 2 and taken together, form twelve elements, G. a with Call this group Q1] Regarding each of the twelve symmetries as an element of S6 (a permutation of the ver write the element in cycle notation cortices),
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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I need help with question 1
![5
Consider a
3
Rotation by
0⁰
Clockuse rotation.
by 600
Clockwise rotation
hy 120°
Clockwise rotation
by 1800
Call this
group
Q1] Regarding each of the twelve symmetries as
an element of S6 (a permutation of the vertices),
write the element in cycle notation
Clockwise rotation
hу 2400
regular hexagon with vertices labeled as below.
There are twelve symmetries of this object
(six rotations and six reflections)
group
Clockwise rotation
hy 300⁰
2
and taken together, form
twelve elements,
G.
a
Rettection across the line.
connecting landy
Rettec Dion across the line
connecting 2ard 5
Reflection across the line
connecting 3 and 6
Reflection acro
line connecting the midports
of 12 and 45
Reflection across the
line connecting the midpoints.
of 23 and 50
with
Reflection across the
line connecting the midpoints.
of 34 and 61.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F27b38c32-736b-4354-8263-82b5dd937d13%2F8f052528-c1fe-4fbb-86bf-8f8215cbb4c8%2F46jaemq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5
Consider a
3
Rotation by
0⁰
Clockuse rotation.
by 600
Clockwise rotation
hy 120°
Clockwise rotation
by 1800
Call this
group
Q1] Regarding each of the twelve symmetries as
an element of S6 (a permutation of the vertices),
write the element in cycle notation
Clockwise rotation
hу 2400
regular hexagon with vertices labeled as below.
There are twelve symmetries of this object
(six rotations and six reflections)
group
Clockwise rotation
hy 300⁰
2
and taken together, form
twelve elements,
G.
a
Rettection across the line.
connecting landy
Rettec Dion across the line
connecting 2ard 5
Reflection across the line
connecting 3 and 6
Reflection acro
line connecting the midports
of 12 and 45
Reflection across the
line connecting the midpoints.
of 23 and 50
with
Reflection across the
line connecting the midpoints.
of 34 and 61.
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