Subscription pricing
passage 4
P1
Fractal geometry is a mathematical theory devoted to the study of complex shapes called fractals. ████████ ██ █████ ██████████ ██ ████████ ███ ███ ████ ████████████ ████████ ████████ ███████ ███ ████████ ██ ████████████████ ███ ███████████ ██ █████████ ███████ ██ ████████ ██ █████████████ ███████ ██████ ██ ████ ████ █████ ████ ██████████ █████ █████████ ████ ███ ██████ ██ █ ██████ ███
Spotlight ·
Fractal geometry
No exact definition of fractals, but they show self-similarity: small details in shape look like the shape as a whole.
Example ·
Koch curve
The Koch curve is an example of a fractal. (Details of what the Koch curve looks like. No need to memorize this. Will come back if asked about it.)
P2
███████████████ ██ █████ ████ ███ ████████████ ███████ ██ ████████ ████████ ██ ████ █████ ███ ████ ███ ██ ███ ████████ ███████ ███ ████████ █████ ███ █████ ███ ███████ ████ ███ █████ ██ ███████ ███
More on the Koch curve ·
Can be created by computer
Interesting point about fractal geometry ·
Simple processes can create complex patterns
This is one of the major reasons people are into fractal geometry.
P3
█ █████████ ██████ ███ ██████ ██████████ ██ ███████ ████████ █████ ███████ ███████████ ██████████████████ ██████ ██ █████████
Enthusiasts ·
Believe fractal geometry will rival importance of calculus
Also believe it will allow mathematicians to effectively describe natural forms (such as a cloud).
Skeptics ·
Fractal geometry will have lasting ro in math only if it can support theorems and proofs
Passage Style
Critique or debate
Spotlight
22.
According to the description in ███ ████████ ████ ███ ██ ███ █████████ ███████████ ███ ███████ ██ ███████████████ ███████
a
Any branch broken ███ █ ████ █████ ████ ███ ████ ███████
b
Each portion of ███ ███████████ █████████ █████ ██ █ ██████ █████ ████ ███ ███████ ██ █ ██████
c
The pattern of █████ ███████ ██ ████ ████ ██ ███ █████ ████ ██ ███████ ██ ███ ███████ ██ █████ ███████ ██ ███ ██████ █████
d
The seeds of ███████ ██████████ ██ █████ ████ ████████ ███ ███████ ██ █████ ███████ ███████████ ██ █████
e
The florets composing █ ███████████ ████ ████████ ███ ██████ ███████████ █████