course | course_year | question_number | tags | title | year | |||
---|---|---|---|---|---|---|---|---|
Geometry |
IB |
26 |
|
Paper 2, Section II, G |
2012 |
Let
Let
Suppose now the triangulation is tidy, meaning that it has the property that no two vertices are joined by more than one edge. Deduce that
Hence compute the minimal number of vertices of a tidy triangulation of the real projective plane. [Hint: it may be helpful to consider the icosahedron as a triangulation of the sphere