Mathematics in Modern World (Patterns)

Patterns

Symmetry

if an imaginary line is drawn across an object, the resulting parts are mirror of each other

Spiral

curved pattern that focuses on a center point

Meander

series of sinuous curves, bends, loops, etc.

Cracks

linear openings that form in materials to relieve stress

Stripes

line or band that differs in color or tone from adjacent area

Logical Patterns

first to be observed, classified as (color, shape, size, position)

Geometric Patterns

design that depicts abstract shapes. (includes tessellations and fractals)

Tessellations

repeating patterns with absence of gaps

Regular Tessellation

tile patterns made up of one single shape placed in some kind of pattern

Semi- Regular Tessellation

made up of two or more regular polygons that are arranged the same at every vertex

Demi-Regular Tessellation (polymorph)

made up of two or more regular polygons that are arranged at two or more vertex

Fractals

mathematical constructs characterized by self-similarity

Sierpinski’s Triangle

formed when the midpoint of the sides of an equilateral triangle are connected, forming smaller congruent equilateral triangles inside the original triangle.

Pascals Triangle

an arrangement of numbers in a triangular array such that the numbers at the end of each row are 1 and the remaining numbers are the sum of the nearest two numbers in the above row.

Fractal Tree

each branch is repeated by using the original shape of the trunk and each time is rotated and down-sized

Koch Snowflake

figure obtained by trisecting each side of an equilateral triangle and replacing the centre segment by two sides of a smaller equilateral triangle projecting outward, then treating the resulting figure the same way, and so on.

Word Patterns

Metrical patterns of poems

Haiku

Japanese Poem of 15 syllables, three lines of 5-7-5

Rhyme Scheme

ordered patterns of rhymes at the ends of lines

Analogy

Similarity between words that creates a connection of understanding

Number Patterns

list of numbers that follow a particular sequence or order

Arithmetic Sequence

has common difference (addition and subtraction)

Geometric Sequence

has common ratio (multiplication and division)

Fibonacci Sequence

the series of numbers where each number is the sum of the two preceding numbers.

Triangular Numbers

numbers arranged an equilateral triangle

Cube Numbers

a number that has been multiplied by itself and then multiplied by itself again

Square Numbers

number that has been multiplied by itself