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Mathematics
Quick fact
For any convex polyhedron, the number of vertices minus edges plus faces always equals 2, a fact known as Euler's formula (V - E + F = 2). This value is not affected by stretching or bending, making it a topological invariant.
Why this is interesting
Take a cube and count its vertices, edges, and faces. Now, squash it into a ball, or stretch it into a doughnut—will the same arithmetic still hold?
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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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