Lesson 1: Patterns in Nature (Fibonacci Sequence) Flashcards
It is a detailed pattern that looks similar at any scale and repeats itself overtime. It gets more complex as it is observed at larger scales.
FRACTALS
It is a curved pattern that focuses on a center point and a series of circular shapes that revolve around it.
SPIRALS
It provides clues to nature’s tendency to favor efficiency: the nearest neighbor, shortest path, and tightest fit.
VORONOI
It is a design or pattern in which a shape is used repeatedly to cover a plane with no gaps, overlaps, or empty spaces.
TESSELLATION
A pattern made with only one type of regular polygon.
REGULAR TESSELLATIONS
If the same combination of regular polygons meets at each vertex, it is called a _______.
SEMI-REGULAR TESSELLATIONS
The figures used are irregular polygons and may be the same or different types.
IRREGULAR TESSELLATIONS
A _______ changes a figure into another figure.
TRANSFORMATION
The new figure formed by a transformation is called the _______.
IMAGE
________ is when different sides of something are alike.
SYMMETRY
What are the 4 kinds of transformation?
REFLECTION, ROTATION, TRANSLATION, and DILATION
A _______, or flip, is a transformation in which a figure is reflected in a line called the line of ________.
REFLECTION
A _____ is a transformation that turns a figure about (around) a point or a line. The operation of _____ of a figure in a place involves turning the figure about a given point in a place, called the center of _____.
ROTATION
A _____ is a transformation in which a figure slides but does not turn across a plane or through space. It is when a figure moves without changing size or shape.
TRANSLATION
A _____ is a transformation in which a figure is made larger or smaller with respect to a point called the center of _____.
DILATION
It is named after a 13th century Italian Mathematician, Leonardo of Pisa who was known as Fibonacci (meaning son of Bonacci), each number in the sequence is created by adding the previous two together.
FIBONACCI SEQUENCE
The ratio of two successive numbers in Fibonacci’s series. It is a special number found by dividing a line into two parts so that the longer part divided by the smaller part is also equal to the whole length divided by the longer part. It is also known as the Golden Section, Golden Mean, Divine Proportion or Greek letter Phi (𝜑)
GOLDEN RATIO
