%0 Journal Article %A Kaoutar Lamrini Uahabi and Mohamed Atounti %D 2019 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 146, 2019 %T Box Counting Dimension of the Union L of Trinomial Curves When α ≥ 1 %U https://publications.waset.org/pdf/10010081 %V 146 %X In the present work, we consider one category of curves denoted by L(p, k, r, n). These curves are continuous arcs which are trajectories of roots of the trinomial equation zn = αzk + (1 − α), where z is a complex number, n and k are two integers such that 1 ≤ k ≤ n − 1 and α is a real parameter greater than 1. Denoting by L the union of all trinomial curves L(p, k, r, n) and using the box counting dimension as fractal dimension, we will prove that the dimension of L is equal to 3/2. %P 44 - 47