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Study sets matching "symmetry"

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Study sets matching "symmetry"

14 terms
symmetry
symmetry
translation, reflection, rotation
line of symmetry
reflectional symmetry
definition: There is a rigid motion that allows the figure to…
What are 3 rigid motions?
What are the red lines?
definition: The figure can be mapped onto itself through a li…
symmetry
definition: There is a rigid motion that allows the figure to…
translation, reflection, rotation
What are 3 rigid motions?
symmetry
symmetry
translation, reflection, rotation
line of symmetry
reflectional symmetry
definition: There is a rigid motion that allows the figure to…
What are 3 rigid motions?
What are the red lines?
definition: The figure can be mapped onto itself through a li…
symmetry
definition: There is a rigid motion that allows the figure to…
translation, reflection, rotation
What are 3 rigid motions?
7 terms
Symmetry
center of rotation
line symmetry
point symmetry
rotational symmetry
Fixed point about which a rotation occurs.
Type of symmetry where the figure is the image of itself unde…
Every point on the figure is the image of itself under a rota…
Type of symmetry where the figure is the image of itself unde…
center of rotation
Fixed point about which a rotation occurs.
line symmetry
Type of symmetry where the figure is the image of itself unde…
8 terms
Symmetry
Symmetry
Asymmetry
Radical Symmetry
Bilateral Symmetry
arrangement of body parts around an axis
body part can't be divided into similar sections
body parts are arranged around a central point
body can be divided into equal halves
Symmetry
arrangement of body parts around an axis
Asymmetry
body part can't be divided into similar sections
47 terms
Symmetry
Enantiomorphic pair
Reflection
Why study symmetry and crystallography?
Center of symmetry (inversion)
A mirror image
Symmetry w/ respect to a mirror plane
To understand:... Hardness, velocity of light, cleavage, rate of…
Draw imaginary lines from every point in the object through a…
Enantiomorphic pair
A mirror image
Reflection
Symmetry w/ respect to a mirror plane
12 terms
Symmetry
line symmetry
rotational symmetry
line of symmetry
dimensions
What a figure has if it can be folded about a line so that it…
can be turned about a central point and still look the same i…
divides a figure into halves; are the mirror images of each o…
measurement in length, width, and thickness
line symmetry
What a figure has if it can be folded about a line so that it…
rotational symmetry
can be turned about a central point and still look the same i…
11 terms
SYMMETRY
TESSELLATION
TRANSLATION SYMMETRY
ROTATION
TRANSFORMATION
A DESIGN THAT COVERS A SURFACE WITHOUT GAPS OR OVERLAPS AND C…
WHEN YOU CAN SLIDE A DESIGN TO A POSITION IN WHICH IT LOOKS T…
A TRANSFORMATION THAT TURNS A FIGURE COUNTERCLOCKWISE ABOUT A…
A GEOMETRIC OPERATION THAT RELATES EACH POINT OF A FIGURE TO…
TESSELLATION
A DESIGN THAT COVERS A SURFACE WITHOUT GAPS OR OVERLAPS AND C…
TRANSLATION SYMMETRY
WHEN YOU CAN SLIDE A DESIGN TO A POSITION IN WHICH IT LOOKS T…
17 terms
Symmetry
Symmetry
transformation
itself
point
_________ exists when a transformation maps a figure into its…
Symmetry exists when a ____________ maps a figure into itself.
Symmetry exists when a transformation maps a figure into ____…
a 180 degree rotation about ______ maps a figure into itself…
Symmetry
_________ exists when a transformation maps a figure into its…
transformation
Symmetry exists when a ____________ maps a figure into itself.
20 terms
Symmetry
Zygote
Blastula
Gastrula
Endoderm
The sperm and the egg create a fertilized egg
Cells that form a fluid filled ball of cells
single-layered blastula is reorganized into a trilaminar
the innermost layer of cells or tissue of an embryo in early…
Zygote
The sperm and the egg create a fertilized egg
Blastula
Cells that form a fluid filled ball of cells
12 terms
Symmetry
Porifera
Cnidaria
Ctenophora
Platyhelminthes
None
Radial
Radial
Bilateral
Porifera
None
Cnidaria
Radial
9 terms
Symmetry
Congruent
Reflection
Line Symmetry
Rotational Symmetry
Having the same size and shape
A movement of a figure to a new position by flipping the figu…
What a figure has if it can be folded about a line so that it…
What a figure has it it can be turned about a central point a…
Congruent
Having the same size and shape
Reflection
A movement of a figure to a new position by flipping the figu…
8 terms
Symmetry
symmetry
line symmetry
rotational symmetry
translation symmetry
a figure has this if there is a transformation of the figure…
figure that can be reflected across a line so that the image…
a figure has this if it can be rotated about a point by a ang…
a figure has this if it can be translated along a vector so t…
symmetry
a figure has this if there is a transformation of the figure…
line symmetry
figure that can be reflected across a line so that the image…
15 terms
symmetry
Bilateral symmetry
Radial symmetry
Asymmetry
Ectotherm (cold blooded)
2 alike sides
organized around a center point like a BIcycle
no alike sides
animals that have a body temperature that changes with the te…
Bilateral symmetry
2 alike sides
Radial symmetry
organized around a center point like a BIcycle
12 terms
Symmetry
transformation
translation
rotation
center of rotation
the movement of geometric figures
slides a figure horizontally or vertically and matches point…
a transformation the turns a figure about a fixed point and m…
the point around a figure is rotated
transformation
the movement of geometric figures
translation
slides a figure horizontally or vertically and matches point…
13 terms
Symmetry
Reflection Symmetry
Rotation Symmetry
Translation Symmetry
Line of Symmetry
A shape with reflection symmetry has two halves that are mirr…
A shape has rotation symmetry if it can be rotated less than…
A figure has translation symmetry if it can be moved along a…
A line that divides a figure into two halves that are mirror…
Reflection Symmetry
A shape with reflection symmetry has two halves that are mirr…
Rotation Symmetry
A shape has rotation symmetry if it can be rotated less than…
17 terms
symmetry
symmetry
translation, reflection, rotation, and…
line of symmetry
reflectional symmetry
definition: There is a rigid motion that allows the figure to…
What are 4 rigid motions?
What are the red lines?
definition: The figure can be mapped onto itself through a li…
symmetry
definition: There is a rigid motion that allows the figure to…
translation, reflection, rotation, and…
What are 4 rigid motions?
12 terms
Symmetry
Symmetry
Translation
Transformation
Rotation
The correspondence of the form and arrangement of elements or…
Where every point is the same distance from the central line…
Means moving. Without rotating, resizing or anything else jus…
Means turning around a center. The distance from the center t…
Symmetry
The correspondence of the form and arrangement of elements or…
Translation
Where every point is the same distance from the central line…
29 terms
Symmetry
What is the simplest symmetry?
What is another name for mirror symmet…
syn means
metron
reflection
reflection or line
together
measure
What is the simplest symmetry?
reflection
What is another name for mirror symmet…
reflection or line
20 terms
Symmetry
how many lines of symmetry does an equ…
how many lines of symmetry does an iso…
how many lines of symmetry does a scal…
How many lines of symmetry does a squa…
3
1
0
4
how many lines of symmetry does an equ…
3
how many lines of symmetry does an iso…
1
5 terms
Symmetry
Which type(s) of symmetry does the upp…
Which type of symmetry is shown by the…
What type(s) of symmetry is/are shown…
Which of the following three-dimension…
reflectional and point symmetry
reflectional symmetry
reflectional and rotational symmetry
a rolling pin
Which type(s) of symmetry does the upp…
reflectional and point symmetry
Which type of symmetry is shown by the…
reflectional symmetry
13 terms
symmetry
phylum cnideria symmetry
ctenophores symmetry
platyhelminthes symmetry
nemertea symmetry
radially symmetry
radially symmetry
bi-laderal symmetry
bi-laderal symmetry
phylum cnideria symmetry
radially symmetry
ctenophores symmetry
radially symmetry
11 terms
Symmetry
Combinations of symmetry operations are
An operation can be undone by its
Point Group Cs Symmetry Elements
Ci symmetry elements
associative
inverse operation
E, one σ plane
E, one (principal) n-fold axis
Combinations of symmetry operations are
associative
An operation can be undone by its
inverse operation
17 terms
Symmetry
symmetry
Proper
improper
Bounded
a rigid motion of the plane that leaves the object apparently…
preserves orientation- after the motion is applied an image o…
reserves orientation meaning it turns a right hand into a lef…
fully contained in some square in a plane, otherwise called u…
symmetry
a rigid motion of the plane that leaves the object apparently…
Proper
preserves orientation- after the motion is applied an image o…
8 terms
Symmetry
Square
Rectangle
Parallelogram
Rhombus
Lines 4 Rotational 4
Lines 2 Rotational 2
Lines 0 Rotational 2
Lines 2 Rotational 2
Square
Lines 4 Rotational 4
Rectangle
Lines 2 Rotational 2
10 terms
Symmetry
Use of color
Symmetrical balancr
Assymmetrical balancr
Asymmetrical balance
False with regard to a work of art
Most formal type of balance
Features unlike objects on either side of an imaginary line
Type of balance illustrated here?(woman in yellow and blue)
Use of color
False with regard to a work of art
Symmetrical balancr
Most formal type of balance
9 terms
Symmetry
Motif
Operation
Element
2D Rotation
the fundamental part of symmetric design that can create the…
the act that reproduces the motif to create the pattern
a point of reference about which symmetry operation can take…
2-fold/3-fold/4-fold/6-fold
Motif
the fundamental part of symmetric design that can create the…
Operation
the act that reproduces the motif to create the pattern
32 terms
Symmetry
asymmetrical
bi -lateral symmetry
radial symmetry
classification
animals with no body plan or symmetry
animals whose bodies are symmetrical or mirror imaged.
animals that have more than one way to cut them mirror imaged…
Assignment of objects or people to categories on the basis of…
asymmetrical
animals with no body plan or symmetry
bi -lateral symmetry
animals whose bodies are symmetrical or mirror imaged.
5 terms
Symmetry
Cnidaria
Platyhelminthes
Annelida
Arthropoda
radial
bilateral
bilateral
bilateral
Cnidaria
radial
Platyhelminthes
bilateral
7 terms
Symmetry
Isomorphism
Rigid Equivalence Theorem
Rigid Equivalence
Da Vinci's Theorem
One-to-one matching between two groups' members that translat…
If true for 2 objects, then their symmetry groups are isomorp…
True for 2 objects in the plane if there exists a rigid motio…
The symmetry group of any bounded object in the plane is eith…
Isomorphism
One-to-one matching between two groups' members that translat…
Rigid Equivalence Theorem
If true for 2 objects, then their symmetry groups are isomorp…
7 terms
symmetry
orthorhombic
isometric/cubic
tetragonal
monoclinic
3A₂
4A₃ or 3A₄
1A₄
1A₂ or 1M
orthorhombic
3A₂
isometric/cubic
4A₃ or 3A₄
8 terms
Symmetry
symmetry
reflectional symmetry
line of symmetry
criteria for lines of symmetry
having the same shape, size, and position on both sides of a…
A plane figure has reflectional symmetry if its reflection im…
a line that divides a figure into two halves that are mirror…
1. When crossing from angle to angle, it must be an angle bis…
symmetry
having the same shape, size, and position on both sides of a…
reflectional symmetry
A plane figure has reflectional symmetry if its reflection im…
Symmetry
Proper rotation
Identity operation
The plane of symmetry
The inversion centre
Cn ... where n is the order of rotational axis
E (nothing)
σ; there are 3 types σv, σh and σd
i
Proper rotation
Cn ... where n is the order of rotational axis
Identity operation
E (nothing)
Symmetry
cephalic
caudal
anterior
posterior
head
tail
forward; upper half
rear
cephalic
head
caudal
tail
28 terms
Symmetry
Symmetry
Translational symmetry (2D)
Translational symmetry (3D)
3 basic symmetry operations
Repetition of a pattern component to produce the whole pattern.
The repetition of nodes from one vector to another to create…
In 3D the repetition of the vectors creates a space lattice i…
Rotations... Mirrors... Inversions
Symmetry
Repetition of a pattern component to produce the whole pattern.
Translational symmetry (2D)
The repetition of nodes from one vector to another to create…
Symmetry
Porifera
Cnidara
Platyhelminthes
Mollusca
none
radial
bilateral
bilateral
Porifera
none
Cnidara
radial
16 terms
Symmetry
Linear (0)
Trigonal Planar (0)
Tetrahedral (0)
Trigonal Bipyramidal (0)
Dinf(h)
D3h
Td
D3h
Linear (0)
Dinf(h)
Trigonal Planar (0)
D3h
Symmetry
Symmetry
Tawdry
Ambulatory
Idolatry
Exact corrospondence of form on opposite sides of dividing li…
Gaudy and cheap in appearance or nature
Of or for walking capable of walking
Blind or excessive.
Symmetry
Exact corrospondence of form on opposite sides of dividing li…
Tawdry
Gaudy and cheap in appearance or nature
10 terms
Symmetry
C₁ or E
Cs
Ci
Cn
no symmetry
E, one σ plane
E, one inversion centre
E, one (principal) n-fold axis
C₁ or E
no symmetry
Cs
E, one σ plane
38 terms
Symmetry
radial symmetry
bilateral symmetry
"median sagittal" plane
sagittal plane, what is it also known…
circular, no matter where you cut it is symmetrical
two sides that match
cut straight down the middle, between eyes kind of middle
cut straight down the middle, longitudinal
radial symmetry
circular, no matter where you cut it is symmetrical
bilateral symmetry
two sides that match
10 terms
Symmetry
Porifera
Platyhelminthes
Nemertea
Mollusca
Asymmetrical
Bilateral
Bilateral
Bilateral
Porifera
Asymmetrical
Platyhelminthes
Bilateral
9 terms
Symmetry
Porifera
Cnideria
Platyhelminthes
Nematoda
asymmetrical
radial
bilateral
bilateral
Porifera
asymmetrical
Cnideria
radial
8 terms
symmetry
sponge
cnidarian
platyhelminthes
nematode
asymmetry
radial
bilateral
bilateral
sponge
asymmetry
cnidarian
radial
17 terms
SYMMETRY
TESSELLATION
TRANSLATION SYMMETRY
ROTATION
BASIC DESIGN ELEMENT
A DESIGN THAT COVERS A SURFACE WITHOUT GAPS OR OVERLAPS AND C…
WHEN YOU CAN SLIDE A DESIGN TO A POSITION IN WHICH IT LOOKS T…
A TRANSFORMATION THAT TURNS A FIGURE COUNTERCLOCKWISE ABOUT A…
PART OF A DESIGN THAT, WHEN TRANSFORMED USING AT LEAST ONE TY…
TESSELLATION
A DESIGN THAT COVERS A SURFACE WITHOUT GAPS OR OVERLAPS AND C…
TRANSLATION SYMMETRY
WHEN YOU CAN SLIDE A DESIGN TO A POSITION IN WHICH IT LOOKS T…
12 terms
Symmetry
What is a symmetry operation?
Types of symmetry element
The identity, E
Axis of symmetry, Cₙ
an action which, when performed on an object results in the o…
the identity, axis of symmetry, mirror plane, centre of symme…
operation of "doing nothing", all molecules posses it
rotation by 360/n about this axis
What is a symmetry operation?
an action which, when performed on an object results in the o…
Types of symmetry element
the identity, axis of symmetry, mirror plane, centre of symme…
15 terms
Symmetry
Reflection Symmetry
Rotation Symmetry
Translation Symmetry
Line of Symmetry
A shape with reflection symmetry has two halves that are mirr…
A shape has rotation symmetry if it can be rotated less than…
A figure has translation symmetry if it can be moved along a…
A line that divides a figure into two halves that are mirror…
Reflection Symmetry
A shape with reflection symmetry has two halves that are mirr…
Rotation Symmetry
A shape has rotation symmetry if it can be rotated less than…
27 terms
Symmetry
Symmetry
Three types of symmetry
Reflection symmetry
Examples of reflection symmetry
A rigid motion that gives an image that is the same shape as…
Rotational, point, reflection
-A type of rigid motion for a 2-D shape (known as line symmet…
-flat shapes in nature... -nature often also uses symmetry
Symmetry
A rigid motion that gives an image that is the same shape as…
Three types of symmetry
Rotational, point, reflection
24 terms
Symmetry
Vector i
Vector j
Direct Isometry
Opposite Isometry
Goes across
Goes up
Doesn't change orientation, translations and rotations
Changes orientation, reflections and glide reflections
Vector i
Goes across
Vector j
Goes up
17 terms
Symmetry
Symmetry in chemistry
Symmetry element
Group theory
Closed set
And object is unchanged after a transformation or operation
Point, line, or plane with respect to which a symmetry operat…
A branch of algebra that requires the set of symmetry element…
The result of two or more successive symmetry operations must…
Symmetry in chemistry
And object is unchanged after a transformation or operation
Symmetry element
Point, line, or plane with respect to which a symmetry operat…
6 terms
symmetry
polar axis
y axis
origin
eulers law
x and -x interchangable; cos(x), sin²(x), tan²(x)
r and -r, x and -x interchangable; sin(x), sin³(x)
r and -r interchangable; r²=sin(x)
re↑xi
polar axis
x and -x interchangable; cos(x), sin²(x), tan²(x)
y axis
r and -r, x and -x interchangable; sin(x), sin³(x)
8 terms
symmetry
max number of lines of symmetry
regular polygon always has the number…
rotational symmetry
regular polygon angle of rotation
number of sides
sides
when a figure looks the same under a rotation
360/number of sides
max number of lines of symmetry
number of sides
regular polygon always has the number…
sides
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