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Math In The Modern World > Patterns And Symmetries > Flashcards

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

> > > >

A

Hop

17
Q

> < > < > <

A

Sidle

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

A

Hop

24
Q

Frieze pattern that contains TRANSLATION and GLIDE REFLECTION

A

Step

25
Q

Frieze pattern that contains TRANSLATION and VERTICAL SYMMETRY

A

Sidle

26
Q

Frieze pattern that contains TRANSLATION and ROTATION

A

Spinning Hop

27
Q

Frieze pattern that contains TRANSLATION, GLIDE REFLECTION, and ROTATION

A

Spinning Sidle

28
Q

Frieze pattern that contains TRANSLATION and HORIZONTAL REFLECTION

A

Jump

29
Q

Frieze pattern that contains all symmetries

A

Spinning jump

30
Q

.> .> .> .>
.> .> .> .>

A

Jump

31
Q

.> .> .> .>
.> .> .> .>

A

Step

Math In The Modern World (4 decks)

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