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Mathematics
Quick fact
The golden ratio φ ≈ 1.618 is, in a precise sense, the most difficult number to approximate by rationals: its continued fraction is the slowest to converge, and its convergents are the ratios of consecutive Fibonacci numbers.
Why this is interesting
You've probably been taught that π is approximately 22/7. But why is that a good approximation, and could there be an even better one with a smaller denominator?
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Subjects · study & training · careers
Choose something you are considering. FACTREE will give you a clear picture of what it contains, how its main parts connect and where it could lead.
This private catalogue connects 31 subjects, study routes and careers across six broad areas. Public Maps and learner routes remain off.
Browse subjects
Open a subject to see its complete shape at a glance. You can always return here and choose something else.
See what programming involves, how its main areas connect, and whether you find the knowledge interesting enough to take it further.
Structuring the Programming Map…
Complete subject map
Move from the one-screen overview into all 19 areas. Open any area, compare possible Paths and return to the overview whenever you want.
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Curiosity quiz
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Administrator
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Knowledge architecture
This background view organises existing cards. It is separate from the authored lessons above.
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Curriculum coverage
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