Details

Autor(en) / Beteiligte

• Richmond, Tom
• Sword, Mia

Titel

An Arithmetic Triangle Arising From a One-Way Street Grid

Ist Teil von

• The College mathematics journal, 2023-03, Vol.54 (2), p.113-122

Ort / Verlag

Washington: Taylor & Francis

Erscheinungsjahr

2023

Link zum Volltext

Quelle

Taylor & Francis Journals Auto-Holdings Collection

Beschreibungen/Notizen

• Pascal's triangle arises by counting the number of shortest paths from (0, 0) to (n, k) on a square street grid. The length of the shortest path is the Manhattan distance from (0, 0) to (n, k). We consider the case of a square street grid of one-way streets, with successive parallel streets being oppositely directed. We investigate the associated distance function q (which is only a quasi-metric, since q(A, B) may differ from q(B, A)) and the arithmetic triangle obtained by counting shortest routes on the one-way grid from (0, 0) to (n, k).