Symmetry

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Transcript of Symmetry

Page 1: Symmetry
Page 2: Symmetry

Symmetry

Order of Rotation24Lines of symmetry 21

Page 3: Symmetry

• There are some examples of shapes that are tricky when considering symmetry. A typical parallelogram actually cannot be folded in half even though it appears to have two 'equal halves'.

• We can see both kinds of symmetry around us; rotational as well as line symmetry.

• Lets see some of the interesting topics related to symmetry.

Common Errors

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Letters and Line Symmetry.

A B C D E

F G J K L N P Q S Z

H I M OT U V W X YThere are some letters

which do not have any line of symmetry.

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H

N

SX

I

O

Z

rotational symmetry at order 1

rotational

symmetry at

order 2

rotational symmetry at order 2

rotational symmetry at order 2

rotational symmetry at order 2

rotational symmetry at order 2

rotational symmetry at order 1

Letters and Rotational Symmetry.

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• This flower has 1 line of symmetry and a rotational symmetry of Order 5 as it matches itself 5 times.

Nature & Line Symmetry.

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Order 4+4 lines of symmetry

Order 3+0 line of symmetry.

Order 2+0 line of symmetry.

Order 3+0 lines of symmetry. Order 2+1 line of symmetry.

Order 1+1 line of symmetry.

Road Signs & Symmetry.

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Monuments & Symmetry.Symmetry exists in architecture all around the world. One of the best known examples of this is the Taj Mahal.

If an object is reflected in water many people believethe image has line symmetry.

But is it really a 'mirror image'? Is it really symmetrical? What are your thoughts? The image can be rotational symmetry.

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Indonesia Japan

Finland

Micronesia Aboriginal Flag of AustraliaUnited Nations

British Canada

Flags & Line Symmetry.

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Flags and Rotational Symmetry.Rotational symmetry-

yes(2)

Rotational symmetry-yes(2)

Rotational symmetry-yes(1)

Rotational symmetry-yes(1)

Rotational symmetry-yes(2)

Rotational symmetry-yes(1)

Rotational symmetry-yes(1)

Rotational symmetry-yes(1)

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Math symbols & Symmetry.

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Masks,tattoos &

Symmetry.

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The Memorah is used during the Jewish feast of Chanukah.

The Dharma Wheel is a Buddhist  symbol. 

Muslim buildings often have symmetry.

The Jewish Star of David.The Christian Cross

L.S-1 

R.S-0

L.S-4

R.S-0L.S-1

R.S-8

L.S-6 R.S-6

L.S-1 R.S-0

Religious Symbols & Symmetry.

L.S-Line of SymmetryR.S-Rotational Symmetry

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Words & rotational symmetry.

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Objects & Rotational Symmetry. Order 5• Often the picture

cards in a playing deck have rotational symmetry.

• Since all the toppings are placed so evenly, this pizzahas rotational symmetry of Order 6.

Order 7

Order 2

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Click on the shapes to see how many lines of symmetry they have.

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Even & Odd Functions: Basic Overview. Reflection Symmetry Reflection Symmetry (sometimes called Line Symmetry or Mirror Symmetry) is easy to recognize,

Even & Odd Functions: Basic Overview. Reflection Symmetry Reflection Symmetry (sometimes called Line Symmetry or Mirror Symmetry) is easy to recognize,

Vocabulary symmetry line symmetry line of symmetry rotational symmetry center of symmetry order of symmetry magnitude of symmetry.

Vocabulary symmetry line symmetry line of symmetry rotational symmetry center of symmetry order of symmetry magnitude of symmetry.

M02_Element Symmetry - Symmetry Operation

M02_Element Symmetry - Symmetry Operation

CHEM 2060 Lecture 2: Symmetry Lecture 2: Molecular Symmetry · CHEM 2060 Lecture 2: Symmetry L2-6 Symmetry Operations [DEF] A symmetry operation is an action that leaves the molecule

CHEM 2060 Lecture 2: Symmetry Lecture 2: Molecular Symmetry · CHEM 2060 Lecture 2: Symmetry L2-6 Symmetry Operations [DEF] A symmetry operation is an action that leaves the molecule

Sorting by Symmetry - Freie Universitätpage.mi.fu-berlin.de/rhschulz/LWB_WiSe_14_15/Geometrie/symmetry... · Symmetry was defined in Section 9 of that booklet and . symmetry group.

Sorting by Symmetry - Freie Universitätpage.mi.fu-berlin.de/rhschulz/LWB_WiSe_14_15/Geometrie/symmetry... · Symmetry was defined in Section 9 of that booklet and . symmetry group.

Holt Geometry 12-5 Symmetry 12-5 Symmetry Holt Geometry I CAN I CAN Identify line symmetry, rotational symmetry, and translational symmetry Name the pre-image.

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Symmetry Detection Competition - LPACvision.cse.psu.edu/research/symmComp/workshop/Symmetry... · 2011-07-01 · symmetry, second best on rotation symmetry and last translation symmetry.

Symmetry Detection Competition - LPACvision.cse.psu.edu/research/symmComp/workshop/Symmetry... · 2011-07-01 · symmetry, second best on rotation symmetry and last translation symmetry.

PH 0101 UNIT 4 LECTURE 31 CRYSTAL SYMMETRY CENTRE OF SYMMETRY PLANE OF SYMMETRY AXES OF SYMMETRY ABSENCE OF 5 FOLD SYMMETRY ROTOINVERSION AXES SCREW AXES.

PH 0101 UNIT 4 LECTURE 31 CRYSTAL SYMMETRY CENTRE OF SYMMETRY PLANE OF SYMMETRY AXES OF SYMMETRY ABSENCE OF 5 FOLD SYMMETRY ROTOINVERSION AXES SCREW AXES.

Symmetry Definition: Both limbs are behaving identically Measures of Symmetry Symmetry Index Symmetry Ratio Statistical Methods.

Symmetry Definition: Both limbs are behaving identically Measures of Symmetry Symmetry Index Symmetry Ratio Statistical Methods.

Rotational Symmetry Print Activities – Pack 1spraoischool.com/pdf/Symmetry-School-Rotational-Symmetry...Rotational Symmetry – Free Play – Student Class Worksheets Rotational

Rotational Symmetry Print Activities – Pack 1spraoischool.com/pdf/Symmetry-School-Rotational-Symmetry...Rotational Symmetry – Free Play – Student Class Worksheets Rotational

Research on Mechanics Symmetry Ontology · movement process symmetry, the symmetry of space movement, cposs-state process symmetry, the symmetry of transformation of materiel, energy

Research on Mechanics Symmetry Ontology · movement process symmetry, the symmetry of space movement, cposs-state process symmetry, the symmetry of transformation of materiel, energy

Table of Contents - Salient Systems...Symmetry CompleteView AMAG Symmetry Integration Component Page 3 Introduction The Symmetry CompleteView – AMAG Symmetry integration includes

Table of Contents - Salient Systems...Symmetry CompleteView AMAG Symmetry Integration Component Page 3 Introduction The Symmetry CompleteView – AMAG Symmetry integration includes

Point Symmetry - St. Louis Public Schools S… · Point Symmetry •Rotating a figure that has point symmetry 180o should look the same. 3.1 Symmetry and Coordinate Graphs Point Symmetry

Point Symmetry - St. Louis Public Schools S… · Point Symmetry •Rotating a figure that has point symmetry 180o should look the same. 3.1 Symmetry and Coordinate Graphs Point Symmetry

Symmetry Section 3.1. Symmetry Two Types of Symmetry:

Symmetry Section 3.1. Symmetry Two Types of Symmetry:

Chapter 3 Symmetry - Pennsylvania State Universitychemistry.bd.psu.edu/jircitano/413c3a.pdf · 1/29/2016 1 Symmetry Element: Symmetry Operation: Chapter 3 Symmetry point symmetry

Chapter 3 Symmetry - Pennsylvania State Universitychemistry.bd.psu.edu/jircitano/413c3a.pdf · 1/29/2016 1 Symmetry Element: Symmetry Operation: Chapter 3 Symmetry point symmetry

Symmetry Rotation Translation Reflection. Symmetry.

Symmetry Rotation Translation Reflection. Symmetry.

Symmetry Tomáš Suk. Symmetry in 3D Reflection symmetry – plane of symmetry Rotational symmetry – axis of symmetry, combination of more axes? Translational.

Symmetry Tomáš Suk. Symmetry in 3D Reflection symmetry – plane of symmetry Rotational symmetry – axis of symmetry, combination of more axes? Translational.

ROTATIONAL SYMMETRY Highlights of Presentaton: Order of rotational symmetry Centre of rotational symmetry Angle of rotational symmetry Examples of shapes.

ROTATIONAL SYMMETRY Highlights of Presentaton: Order of rotational symmetry Centre of rotational symmetry Angle of rotational symmetry Examples of shapes.

Symmetry Line Symmetry Rotational (Order) Symmetry Creating Rotational Symmetry S4.

Symmetry Line Symmetry Rotational (Order) Symmetry Creating Rotational Symmetry S4.

3-1 Symmetry. Symmetry All Around Us Symmetry at the Beach Symmetry at the Beach Line Symmetry & Rotational Symmetry - All you need to Know + Symmetry.

3-1 Symmetry. Symmetry All Around Us Symmetry at the Beach Symmetry at the Beach Line Symmetry & Rotational Symmetry - All you need to Know + Symmetry.