 class="dv">100</span>, <span class="dt">length =</span> res))

d1 &lt;-<span class="st"> </span><span class="kw">mdply</span>(<span class="kw">parameters</span>(<span class="dv">10</span>), simulation)
d2 &lt;-<span class="st"> </span><span class="kw">mdply</span>(<span class="kw">parameters</span>(<span class="dv">300</span>), simulation)


p1 &lt;-<span class="st"> </span><span class="kw">ggplot</span>(d1) +<span class="st"> </span><span class="kw">geom_line</span>(<span class="kw">aes</span>(angle *<spa