T5: Patterns and Symmetry

Question 1

a repeated arrangement of numbers, shapes, colors and so on

Answer 1

PATTERN

Question 2

is a kind of pattern formed of geometric shapes and typically repeated like a wallpaper design. Any of the senses may directly observe patterns

Answer 2

Geometric pattern

Question 3

If the set of numbers are related to each other in a specific rule, then the rule or manner is called a __________

Answer 3

PATTERN

Question 4

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

Answer 4

• Symmetry

Question 4

any non-empty plane set

Answer 4

motif

Question 5

repetitions of a motif in the plane

Answer 5

pattern

Question 6

is the rotation of a motif in a fixed angle about a fixed point

Answer 6

isometry

Question 7

is either rigid or non-rigid

Answer 7

geometry transformation

Question 8

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

Answer 8

dilation

Question 9

The initial object to be transformed is called

Answer 9

pre-image

Question 10

the transformed object is called

Answer 10

image

Question 11

TYPES OF TRANSFORMATIONS

Answer 11

1. Translation
2. Reflection
3. Rotation
4. Dilation

Question 12

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

Answer 12

REFLECTION

Question 13

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

Answer 13

TRANSLATION

Question 14

It is a transformation that turns a figure about a fixed point called the center of rotation

Answer 14

ROTATION

Question 15

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

Answer 15

DILATION

Question 16

Translation and reflection can be combined to yield an effect

Answer 16

GLIDED REFLECTION

Question 17

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

Answer 17

John Conway

Question 18

patterns that repeat in a straight vertical or horizontal line

Answer 18

FRIEZE PATTERNS

Question 19

A pattern which only involves translation

Answer 19

HOP

Question 19

DIFFERENT TYPES OF FRIEZE PATTERNS

Answer 19

1. Hop
2. Step
3. Slide
4. Spinning hop
5. Spinning slide
6. Jump
7. Spinning jump

Question 20

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

Answer 20

2. STEP

Question 21

The third consists of translation and vertical reflection symmetries

Answer 21

SLIDE

Question 22

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

Answer 22

SPINNING HOP

Question 23

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

Answer 23

SPINNING SLIDE

Question 24

It contains translation and horizontal reflection symmetries

Answer 24

JUMP

Question 25

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

Answer 25

SPINNING JUMP

Question 26

If translation symmetry is added in a second, independent direction

Answer 26

WALLPAPER GROUPS

Question 27

meaning 'to measure together'

Answer 27

symmetria

Question 28

TWO KINDS OF SYMMETRY

Answer 28

1. Bilateral symmetry 2. Radial symmetry

Question 29

if an object is not symmetrical

Answer 29

asymmetric

Question 30

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

Answer 30

Bilateral symmetry

Question 31

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

Answer 31

Radial symmetry

Question 31

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

Answer 31

TESSELLATION

Question 32

a square tablet or die used in gambling

Answer 32

tessera

Question 33

DIFFERENT TYPES OF TESSELLATIONS

Answer 33

1. Regular Tessellation 2. Semi-Regular Tessellation 3. Demi-Regular Tessellation

Question 34

A tessellation made up of congruent regular polygons which have the following properties: o The tessellation must tile a floor (that goes on forever) with no overlaps or gaps. o The tiles must be the same regular polygons.

Answer 34

REGULAR TESSELLATION

Question 35

Also known as Archimedean Tessellations are regular tessellations of two or more different polygons around a vertex which has the same arrangement of polygons

Answer 35

SEMI-REGULAR TESSELLATION

Question 36

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

Answer 36

DEMI-REGULAR TESSELLATION

Question 37

The function which iterates a figure to make it smaller and smaller or bigger and bigger using a scaling factor

Answer 37

FRACTALS

Question 38

means repeating a process over and over

Answer 38

ITERATION

Question 39

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

Answer 39

* The Iterative Function System (IFS)

Question 40

is a special kind of iteration

Answer 40

* Recursion