MAT 101 STUDY GUIDE WITH 100% ACCURATE
SOLUTIONS
Regularity
-Collins, 2018
fact that the same thing always happens in the same circumstances
pattern
discernible regularity, repeat in a predictable manner.
Patterns in nature
visible regularities of form found in the natural world
geometric pattern
pattern formed of geometric shapes and typically repeated like a wallpaper design.
Ian Stewart (1995)
we live in a universe of patterns
Symmetry
agreement in dimensions, due proportion and arrangement
spiral
curve which emanates from a point, moving farther away as it revolves around the point
spiral
Cutaway of a nautilus shell
meander
series of regular sinuous curves, bends, loops, turns, windings in the channel of a river, stream,
or other watercourse
, wave
disturbance that transfers energy through matter or space, with little or no associated mass
transport
Foam
formed by trapping pockets of gas in a liquid or solid
tessellation
flat surface is the tiling of a plane using one or more geometric shapes
fracture or crack
separation of an object or material into two or more pieces
shear crack
displacement develops tangentially to the surface of displacement
Stripes
made by a series of bands or strip
fractal
infinitely complex patterns that are self-similar across different scales, since nature is full of
fractals.
Affine Transformations
processes of rotation, reflection and scaling.
Fibonacci Sequence
Also known as the Golden Ratio
Leonardo Fibonacci
SOLUTIONS
Regularity
-Collins, 2018
fact that the same thing always happens in the same circumstances
pattern
discernible regularity, repeat in a predictable manner.
Patterns in nature
visible regularities of form found in the natural world
geometric pattern
pattern formed of geometric shapes and typically repeated like a wallpaper design.
Ian Stewart (1995)
we live in a universe of patterns
Symmetry
agreement in dimensions, due proportion and arrangement
spiral
curve which emanates from a point, moving farther away as it revolves around the point
spiral
Cutaway of a nautilus shell
meander
series of regular sinuous curves, bends, loops, turns, windings in the channel of a river, stream,
or other watercourse
, wave
disturbance that transfers energy through matter or space, with little or no associated mass
transport
Foam
formed by trapping pockets of gas in a liquid or solid
tessellation
flat surface is the tiling of a plane using one or more geometric shapes
fracture or crack
separation of an object or material into two or more pieces
shear crack
displacement develops tangentially to the surface of displacement
Stripes
made by a series of bands or strip
fractal
infinitely complex patterns that are self-similar across different scales, since nature is full of
fractals.
Affine Transformations
processes of rotation, reflection and scaling.
Fibonacci Sequence
Also known as the Golden Ratio
Leonardo Fibonacci
