Patterns And Symmetries Flashcards

1
Q

Any object drawn on a plane

A

Motif

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2
Q

Repetitions of a motif

A

Pattern

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3
Q

Turn, flip, or slide of any figure

A

Transformation

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4
Q

Creates an image that is congruent to the original figure

A

Isometry

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5
Q

Four operations of transformation

A

Translation
Rotation
Reflection
Dilation

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6
Q

Slides a figure along a straight line path

A

Translation

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7
Q

Turns a figure about a fixed point

A

Rotation

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8
Q

Flips a figure across a line

A

Reflection

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9
Q

Combination of a translation and reflection

A

Glide reflection

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10
Q

Result of stretching or shrinking of the motif.
The figure is no longer congruent to the original

A

Dilation

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11
Q

Composition of isometries in the plane

A

Symmetry

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12
Q

Type of symmetry that only has reflection and rotations

No translations or glide reflections

A

Rosette patterns

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13
Q

Type of symmetry that has a point at the center of the pattern that is left in place by every symmetry

A

Rosette patterns

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14
Q

A motif not restricted by a center point and can be moved in any direction or flip

A

Frieze patterns

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15
Q

7 Frieze patterns

A

F1 Hop
F2 Step
F3 Sidle
F4 Spinning hop
F5 Spinning sidle
F6 Jump
F7 Spinning jump

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16
Q

> > > >

17
Q

> < > < > <

18
Q

> > > > < < < <

A

Spinning hop

19
Q

<. .> <. .>
<. .>

A

Spinning sidle

20
Q

.> <. .> <. .> <.
.> <. .> <. .> <.

A

Spinning jump

21
Q

This type of symmetry can only have reflection and and glide reflection symmetry

A

Wallpaper groups

22
Q

We add translation symmetry in a second independent direction

A

Wallpaper groups

23
Q

Frieze pattern that has the same motif TRANSLATED horizontally

24
Q

Frieze pattern that contains TRANSLATION and GLIDE REFLECTION

25
Frieze pattern that contains TRANSLATION and VERTICAL SYMMETRY
Sidle
26
Frieze pattern that contains TRANSLATION and ROTATION
Spinning Hop
27
Frieze pattern that contains TRANSLATION, GLIDE REFLECTION, and ROTATION
Spinning Sidle
28
Frieze pattern that contains TRANSLATION and HORIZONTAL REFLECTION
Jump
29
Frieze pattern that contains all symmetries
Spinning jump
30
.> .> .> .> .> .> .> .>
Jump
31
.> .> .> .> .> .> .> .>
Step