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Mathematics
Quick fact
The quaternion formula was carved into a bridge in Dublin, Ireland, by its discoverer: 'i² = j² = k² = ijk = −1' – creating a mathematical breakthrough in 1843.
Why this is interesting
You've likely rotated objects in a video game or on your phone, but did you know that the elegant behind-the-scenes math uses four-dimensional numbers? Why do animators and engineers prefer these mysterious 'quaternions' over simpler seeming angles?
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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.
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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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