Grasshopper

algorithmic modeling for Rhino

hi, just wondering if anyone knows how to make a box morph from an already twisted box with 8 corners  to another? problem is when I insert the twisted box into the "referance box component, it turns it into a rectangular bounding box surrounding my twisted box.. any way around this??

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Not at the moment. There is no morph logic from twisted boxes, only to twisted boxes.

nooo! I really need this.. it's for a real pavillion project being built.. have you any idea on how to solve this? I thought maybe doing a cage edit and turning the twisted box into a regular box and then doing the morph .. but rhino doesn't allow to do a cage edit from a non regular box for some reason.. any help would be apriciated..I'm in the dark about this..

If you propose an algorithm of how to map a 3D point (xyz) into twisted box (uvw) coordinates I can make you a component that does it.

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David Rutten

david@mcneel.com

the same way as box to twisted box.. problem is the surface morph and box morph turn the twisted box into a regular bounding box.. I am thinking its something in the definition of the grasshopper component that doesn't allow a tbox as an input. I guess you would know better than anyone else..

The morph from straight box to twisted box is easy, because I can figure out 'where' in the straight box a point is currently. I can project the XYZ coordinates onto the three box axes and thus figure out the UVW coordinates of the point in box-space.

It is also straightforward to go from UVW back to XYZ either through a straight or a twisted box.

What I have problems with is how to figure the UVW of an XYZ point in twistedbox-space. There's probably a not-too-difficult solution to this, but I couldn't think of it back when I wrote the twistedbox morphing algorithms and I haven't thought about it since (until now).

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David Rutten

david@mcneel.com

haha, well unsolved geometrical questions always creep back up at some point in life..

the box I want to use actually is not really twisted.. just the 8 points are aligned differently in space, not orthogonal one to the other... when straight lines connect them..the whole project pretty much depends on it :)

Why not make use of the P input to the BBox component to orient your box to a specific plane.

ok,I see.. I thought about mappping all the box faces from one to the other and build a virtual grid , reparameterized from 0-1, so that all points are relative to it..

another option is using a notation matrix and inverting it.. is there a way to get the matrix out of the box morph component? because its output doesn't have it.. that might be useful.

thanx

can you post the file?

ok just to be clear..I'm trying to  map the geometry in the distorted box into the empty box..

the box I want to use actually is not really twisted.. 

as you say this was not clear, I assumed you meant that it was oriented differently to the world axis.

oh i meant not "really twisted" in that the lines were straight between the nodes..

any idea?

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