@article{(Open Science Index):https://publications.waset.org/pdf/10010081, title = {Box Counting Dimension of the Union L of Trinomial Curves When α ≥ 1}, author = {Kaoutar Lamrini Uahabi and Mohamed Atounti}, country = {}, institution = {}, abstract = {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.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {13}, number = {2}, year = {2019}, pages = {44 - 47}, ee = {https://publications.waset.org/pdf/10010081}, url = {https://publications.waset.org/vol/146}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 146, 2019}, }