Question: Connect in a pointplot made with seq

So I want to display a plot containing a spiral and a polygon graph approximating the shape. I use a seq to make the points in pointplot3d and then connect them with the connect option. It looks like this:

y(t):=t-><cos(t),sin(t),t>:

graph := spacecurve(y(t), t = 0 .. 6, thickness = 3, axes = box, color = blue):

poly6 := pointplot3d({seq([cos(t), sin(t), t], t = 0 .. 6, 1)}, connect, axes = box, 

color = red, thickness = 3, caption = {n = 6}):
display(graph, poly6);

But I want to have more points in order to make the polygon curve more accurate

 to the original graph. The only way I've found to do this, is by inputting 1/2 for the

 step in the seq command, doubling the amount of points. 

The result is this:

poly12 := pointplot3d({seq([cos(t), sin(t), t], t = 0 .. 6, 1/2)}, connect, axes = box,

 color = red, thickness = 3, caption = {n = 12}):
display(graph, poly12);

As is seen right away, the 12 points are fine and on the graph as expected, but the

 "connect"-lines 

become pretty much all jumbled up.

I would very much like to have some help to fix this!  

I also noticed that I have make t=0..6 instead of t=0..2*Pi, as would be normal when

 working with these geometries, but for some reason, the last point doesn't go further

 than t=6, so this is what I chose to have a polygon curve that ends the same place as

 the original graph.

Thanks a ton in advance!