\r\ndenoted by L(p, k, r, n). These curves are continuous arcs which are

\r\ntrajectories of roots of the trinomial equation zn = αzk + (1 − α),

\r\nwhere z is a complex number, n and k are two integers such that

\r\n1 ≤ k ≤ n − 1 and α is a real parameter greater than 1. Denoting

\r\nby L the union of all trinomial curves L(p, k, r, n) and using the

\r\nbox counting dimension as fractal dimension, we will prove that the

\r\ndimension of L is equal to 3\/2.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 146, 2019"}