21 terms

sequence

an infinite, ordered list of numbers

explicit formula

a formula that gives nth term directly without calculating intervening values

recursive formula

a formula that gives the next value in the sequence depending on previous value or values

arithmetic sequence

adds a constant value (common difference) to find the next term

geometric sequence

multiplies by a constant value (common ratio) to find the next term

rigid motion

moving an object from a starting position to a stopping position without altering its shape

image

the shape after it has undergone a rigid motion

fixed point

a point that remains unchanged under a rigid motion

axis of reflection

a set of points that remain fixed under a reflection motion

improper rigid motion

reflection is an improper rigid motion because it does not preserve handedness

identity motion

image looks exactly like the original before the motion was applied

rotocenter

the center of a rotation motion

vector of translation

how far and in what direction a translation motion done

symmetry

a rigid motion that moves the object back onto itself

pattern

an infinite object consisting of infinitely repeating basic design called a motif

replacement rule

a scale independent rule that specifies how to substitute one piece for another (in a fractal)

self-similarity

some part of the larger object is the same as some part of the object under magnification

types of self-similarity

exact, infinite, universal, approximate, finite and local

phi

the golden ratio: (1+sqrt(5))/2

similar

one object is a scaled version of the other

gnomon

an object, when attached to another object, creates an object similar to the original object