Episode 19 – Eulerian graphs European section – Season 2

Rule 2 : When a line of the section plane is in a face, and a third point is on a face with an edge in common, you can draw the intersection of the line with the common edge..

To find the coordinates of the intersection of a plane with a line (if it exists), just solve the system made of a cartesian equation of the plane and a set of parametric equations

Erdös asks us to imagine an alien force, vastly more powerful than us, landing on Earth and demanding the value of R (5, 5) or they will destroy our planet. In that case, he claims,

Planar and plane graphs.. Plane

5 Set the unvisited vertex with the smallest distance (from the initial node) as the next current vertex and continue from

For any polygon P in a lattice, we note B P the number of points on its border and I P the number of points strictly inside the polygon..

Pick’s formula is additive : if P and T are two polygons with one edge in common, and if Pick’s formula holds for P and T , it also holds for the polygon PT obtained by adding P and

Addition and multiplication in the set Z [i ] follow the same rules as addition and multiplication of integers but “real parts” and “imaginary parts” cannot be mixed up