Grasshopper

algorithmic modeling for Rhino

perhaps is a basic question,

i tried to find the explanation but i can´t.

what is the explanation of the plane rotation using PFrames component?

why the normal plane rotates relative to the osculator plane.

thanks

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By what algorithm is oriented profile to the rail curve in command "Sweep 1 Rail"?

following the normal plane of the curve,

the same oriented normal that PFrames

and this normal plane remains rotated with respect "the other"

rotated around the tangent

The first plane with the tangent to the curvature.
All others are oriented to the first plane.

I think that the orientation of the axis Z. 

i do not think

each plane obtained as PFrames (green) form a diferent angle with the osculator plane (red)

this is the question,

what is the logic of this angle?

What does this mean "osculator"? 

Hi Paco G, Chris, TheChoosenOne

I haven't got an answer for you. But there seems to be a language gap developing between question and answers as this thread continues.

So to clarify:

In the image below there is an angle shown in the panel. This is the angle calculated between two different methods of obtaining planes at specified locations along a curve.

Why is the answer not zero for each location?

I would like to add a further question:

Why is it not even zero at the last location?

sorry, it´s possible. i´m lost in traslation.

i refer to osculating plane (http://en.wikipedia.org/wiki/Osculating_plane)

exactly: Why is the answer not zero for each location?

and: Why is it not even zero at the last location?


thanks a lot, Danny

Angle depends on the direction of orientation of the plane at the beginning of the curve ...
... at the end there should be zero...

Just a different approach to the calculation, the orientation in space, not in the curvature. 

Thanks. Now that we've established that the two different methods are different.

What is the reason for orienting it in space in this way?

 

is the reason for this post!

really, really, i don´t know

I am researching on some issues and I would be very helpful to know the reason

thak you, danny

For example, to create a road ...

 ... or stair railing...

 ... And here's an ambush!
And here logic of orientation ...

 

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