4D cube

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Permalink Reply by Daniel Hambleton on March 6, 2011 at 10:07am

Great idea! What about a component that creates cubic lattices of arbitrary dimensions (slider to choose), and projects them onto a plane (or 3d basis) of your choice. This would create the whole range of aperiodic lattices.....!

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Permalink Reply by Emilio Morello on March 10, 2011 at 2:00pm

Yes, that would be cool ...

but also much more complex, I think.

I'm not going to work on that, sorry.

Thanks

Cheers

Emilio

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Permalink Reply by Al Krever on March 7, 2011 at 9:30am

I've loaded the hyper.ghx function into Grasshopper (8.0007) and no lines or meshes are visible. Is there a seed input necessary? Do I need a particular c# runtime? What am I doing wrong here?

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Permalink Reply by Emilio Morello on March 7, 2011 at 1:49pm

I only tested that on 8.0004, no input should be needed.

Trying the definition on 8.0007 raises an error here about a missing dependency

Maybe my .NET framework is too old ... sorry

 

Emilio

 

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Permalink Reply by Al Krever on March 7, 2011 at 1:59pm

Thanks Emilio:   That sometimes happens on a moving target but that's the price we pay for progress.  By the way. I find that if I bake either the lines or the mesh that they produce a viable rhino object.  

Al

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Permalink Reply by Emilio Morello on March 10, 2011 at 2:07pm

That's annoying, I mean not being able to see what will be baked ...

Should you like to keep testing, I attach a simpler definition,

just in case any of the geometric objects might work as they do in 8.0004 ...

Not much logic behind that ... just trying something.

Thansk Al, cheers.

Emilio

Attachments:

• test.ghx, 26 KB

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Permalink Reply by Daniel Piker on March 7, 2011 at 10:51am

On a similar note - years ago I wrote some Rhinoscript for 4D rotation of objects, along with stereographic projection to and from a 3-sphere

I just dropped the same code into a GH component, attached here in case anyone wants to play with it.

The t parameter controls the amount of rotation (so you can also supply a range of values to sweep objects around to get things like the lawson klein bottle and sudanese mobius band, or the Hopf fibration). A value of pi gives a simple inversion in a sphere.

p and q are the different components of the 4D rotation. When they are equal it is isoclinic.

Attachments:

• 4Drotation.ghx, 80 KB

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Permalink Reply by Emilio Morello on March 10, 2011 at 2:09pm

Thanks for sharing that, Daniel !

Your code is very interesting, and also the link to 4D rotations.

Emilio

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