Episode 11 – The dancing men European section – Season 3

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

The set Z[i] is a unique factorization domain : any Gaussian integer can be written as a product of Gaussian primes, and this. decomposition is unique except for reordering

A regular n-gon can be constructed with compass and straightedge if n is the product of a power of 2 and any number of distinct Fermat primes. Gauss conjectured that this condition

Encryption : The process of obscuring information to make it unreadable without special knowledge, key files, and/or passwords.. Decryption : The process reversing an