© t madas. we can extend the idea of rotational symmetry in 3 dimensions:
TRANSCRIPT
© T Madas
© T Madas
We can extend the idea of rotational symmetry in 3 dimensions:
© T Madas
We can extend the idea of rotational symmetry in 3 dimensions:
We say that this solid has rotational symmetry,about the line shown.
This line is sometimes called axis of symmetry
The order of this rotational symmetry is 4,about the line shown
© T Madas
In general in 3D space:A solid has rotational symmetry ifthe transformation of rotation about one or more axes, leave the solid unchanged
order 4
order 4
order 2order 2
If a solid has two or more axes of rotational symmetry which meet at a point, then the solid is said to have point symmetry.
© T Madas
In general in 3D space:A solid has rotational symmetry ifthe transformation of rotation about one or more axes, leave the solid unchanged
infinite order
infinite axeswith order 2
infinite axesinfinite order
If a solid has two or more axes of rotational symmetry which meet at a point, then the solid is said to have point symmetry.
© T Madas
Is it possible to have rotational symmetry in 3D space without a single axes of rotational symmetry?
No axes of rotational symmetry?
© T Madas
Is it possible to have rotational symmetry in 3D space without a single axes of rotational symmetry?
No axes of rotational symmetry?
© T Madas
© T Madas
Look at the following shapesLabel them using the following code:
R = it has rotational symmetryN = no rotational symmetry
0 = no plane of symmetry1 = 1 plane of symmetry2 = 2 planes of symmetry3 = 3 planes of symmetry4 = 4 planes of symmetry etc
E.g. N2: no rotational symmetry, 2 planes of symmetry
© T Madas
© T Madas
© T Madas
Look at the following shapesLabel them using the following code:
R = it has rotational symmetryN = no rotational symmetry
0 = no plane of symmetry1 = 1 plane of symmetry2 = 2 planes of symmetry3 = 3 planes of symmetry4 = 4 planes of symmetry etc
E.g. N2: no rotational symmetry, 2 planes of symmetry
© T Madas
1. 2. 3. 4.
5.6. 7.
8.
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11.12.
13.
14.
© T Madas
© T Madas
© T Madas
Cop
y e
ach
sh
ap
e o
n isom
etr
ic p
ap
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Lab
el th
em
usin
g t
he f
ollow
ing
cod
e:
R =
it
has
rota
tion
al
sym
metr
yN
= n
o r
ota
tion
al sy
mm
etr
yE.g
. N
2:
no r
ota
tion
al
sym
metr
y,
2 p
lan
es
of
sym
metr
y
0 =
no p
lan
e o
f sy
mm
etr
y1
= 1
pla
ne o
f sy
mm
etr
y2
= 2
pla
nes
of
sym
metr
y3
= 3
pla
nes
of
sym
metr
y4
= 4
pla
nes
of
sym
metr
y e
tc
Cop
y e
ach
sh
ap
e o
n isom
etr
ic p
ap
er
Lab
el th
em
usin
g t
he f
ollow
ing
cod
e:
R =
it
has
rota
tion
al
sym
metr
yN
= n
o r
ota
tion
al sy
mm
etr
yE.g
. N
2:
no r
ota
tion
al
sym
metr
y,
2 p
lan
es
of
sym
metr
y
0 =
no p
lan
e o
f sy
mm
etr
y1
= 1
pla
ne o
f sy
mm
etr
y2
= 2
pla
nes
of
sym
metr
y3
= 3
pla
nes
of
sym
metr
y4
= 4
pla
nes
of
sym
metr
y e
tc
12
34
56
7
12
34
56
7
© T Madas