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 $z^n=lpha z^k+(1-lpha )$, where z is a complex number, n and k are two integers such that 1= k= n-1 and $lpha $ 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.
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机译：在本作工作中，我们考虑一种由L（P，K，R，N）表示的一类曲线。这些曲线是连续弧，这是三人方程的根的轨迹$ z ^ n = alpha z ^ k +（1- alpha）$，其中z是复数，n和k是两个整数，使得1 <= k <= n-1和$ alpha $是一个大于1.表示由l的引导曲线l（p，k，r，n）表示表示并使用盒子计数尺寸作为分形维度，我们将证明L的尺寸等于3/2。
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