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MATH > Lesson 4 > Flashcards

Lesson 4 Flashcards

1
Q

a repeated arrangement
of numbers, shapes, colors and so
on. The Pattern can be related to
any type of event or object

A

Pattern

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2
Q

a regularity in the world, in
human-made design, or in abstract
ideas

A

Pattern

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3
Q

Sometimes, patterns are also known
as a _________. Patterns are ________or
_________in numbers.

A

Sequence

Finite

Infinite

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3
Q

a kind of pattern formed of geometric shapes
and typically repeated like a wallpaper
design

A

A geometric pattern

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4
Q

Defined as one shape is
exactly like the other shape when it is
moved, rotated, or flipped

A

Symmetries

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5
Q

Symmetry in everyday language refers
to a sense of harmonious and beautiful
__________and _________.

A

proportion

balance

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5
Q

used to refer to an object that is invariant
under some transformations; including
translation, reflection, rotation or
scaling

A

Symmetries

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6
Q

any non-empty plane set

Any object drawn in a plane

A

A motif

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6
Q

The rotation of a motif in a fixed angle about a fixed point

A

Isometry

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7
Q

changes the size, shape, or position of a figure and creates a new figure

A

A transformation

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8
Q

either rigid or non-rigid; another word for a rigid
transformation is “isometry”

A

geometry transformation

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9
Q

is not an isometry since it either shrinks or enlarges a figure

A

Dilation

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9
Q

The initial object to be transformed is
called _______and the transformed object is
called _______

A

Pre-image

Image

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10
Q

A mathematical term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any
other way

A

TRANSLATION

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11
Q

It is a transformation in which the figure or object is mirror image of the other.

A

REFLECTION

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12
Q

a transformation that changes the size of a figure. It can
become larger or smaller, but the shape remains the same.

A

Dilation

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12
Q

It is a transformation that turns a figure about a fixed point called the center of rotation. Rotations can be done clockwise or counterclockwise

A

ROTATION

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13
Q

Translation and reflection can be combined to yield an effect shown below.

A

GLIDED REFLECTION

14
Q

attributed to John Conway, an English mathematician who is active in finite theory, knot theory, number theory, combinatorial game theory and coding theory

A

FRIEZE PATTERNS

15
Q

patterns that repeat in a straight vertical or
horizontal line. Found in architecture, fabrics, and
wallpaper borders, just to name a few.

A

FRIEZE PATTERNS

16
Q

A pattern which only involves translation

A

HOP

17
Q

It is a combination of translation and reflection shown by the following figure. Conway also called it glide reflection symmetry

A

STEP

18
Q

The third consists of translation and vertical reflection symmetries

A

SLIDE

19
Q

It contains translation and horizontal reflection symmetries.

A

JUMP

19
Q

It contains translation and rotation (by half turn or rotation at 180o angle) symmetries

A

SPINNING HOP

20
Q

It contains translation, glide, reflection and rotation (by a half-turn or rotation at 180o angle) symmetries.

A

SPINNING SIDLE

21
Q

It contains all symmetries ( translation, horizontal and vertical reflection, and rotation)

A

SPINNING JUMP

22
Q

If translation symmetry is added in a second, independent direction, one gets _____________.

A

wallpaper groups

23
Q

Filipino Indigenous fabrics showcasing patterns and symmetries

A

FILIPINO ARTS

24
Q

Symmetry comes from a Greek word __________meaning ‘to measure together’

A

symmetria

25
Q

if an object is not symmetrical, it is
called ____________.

A

Asymmetric.

26
Q

in which an object has two sides that
are mirror images of each other.

A

Bilateral symmetry

26
Q

Subjects that use symmetry and patterns

A

Math, Chemistry, Biology and Human anatomy

27
Q

The word tessellation comes from Latin
word _________

A

Tessera

27
Q

this is where a center point and
numerous lines of symmetry could be drawn

A

Radial symmetry

28
Q

A pattern covering a plane by fitting together replicas of the same basic shape

A

TESSELLATION

29
Q

Is an edge-to-edge tessellation,
but the order or arrangement of
polygons at each vertex is not the
same

A

Demi-Regular Tessellation

29
Q

The tessellation must ____a
floor (that goes on forever)
with no ________or ________

A

TILE

Overlaps or Gaps

30
Q

Tessellations are regular
tessellations of two or more
different polygons around a
vertex which has the same
arrangement of polygons.

A

Archimedean (Semi-Regular Tessellation)

31
Q

The tiles must be the same
regular _______.

A

Polygons.

32
Q

he function which iterates a figure to make it smaller and
smaller or bigger and bigger using a scaling factor is called

A

FRACTALS

33
Q

means repeating a process over and over. In
mathematics, iteration means repeating a function over and
over.

A

Iteration

34
Q

a method for generating fractals involving a large number of calculations of a simple formula

A

The Iterative Function System (IFS) i

MATH (6 decks)

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