per space. In the upper right corner you draw another dot, and you write "1, 1" next to it. You now have 2 points defined in paper space (uv space).
Ok, lay down the pencil and pick up the paper. You'll notice that the two points have just moved through world-space. They were very close to the desk, but now they are hovering above it. The coordinates you wrote down on the paper or the other hand are still valid.
No matter what you do to this piece of paper; crumple it, fold it, take it on a plane to South Africa, those two points remain fixed in paper space.
A surface is always a rectangle in Rhino. It may be deformed, it may have holes cut into it, but in the end it's always a rectangle, just like your piece of paper. UV coordinates are points that are defined in Surface UV space. They consist of only two numbers, because a surface has no thickness. At any point in time, you can translate these UV points into World XYZ points using what is called a surface evaluator. Where these XYZ points end up depends entirely on the *shape*, *size* and *location* of the surface.
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Surface uv-space (and Curve t-space) are vital when dealing with nurbs geometry. If you do not understand the concept of parameter space, you will have a lot of problems because many components in Grasshopper use these coordinates.
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David Rutten
david@mcneel.com
Seattle, WA…
Added by David Rutten at 6:40pm on September 27, 2009
, and made the below definition to try it out. (lots of components to draw a line, but I'm just trying to understand the equation)
I had been searching for advice on some geometry topics worth exploring for a class, and now I'm in the class and the teacher wants me to start by learning about splines in general (not nurbs). I just spent the day learning linear spline interpolation, then quadratic, then cubic. I didn't try working them by hand yet, but I'm getting the concepts. It seems cubic is the lowest degree where you can get C2 continuity, which makes it smooth. I read over parameterization and how that simplifies the number of equations. I read about space curves, and then the differences between Hermite, Catmull-Rom, and Cardinal spline, but then got tired and had a cocktail.
So I guess I'm looking for any direction or advice on how to understand parametric curves in 3d space, and how they can be defined (splines or otherwise). Thanks!!!
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ou will see all of the available components on a ribbon at once so there is no need to keep clicking drop down menus.
It's all about discoverability with GH. What if you're a beginner and don't know about the Create Facility (dbl click canvas) how can you find Extr?
Even if you hover over every component or use the drop down lists you will not see the name Extr appear anywhere.
Sure it makes sense that Extr is short for Extrude but it's also the Nick Name of Extrude to Point component
So you can easily miss the fact that one has a Distance Input verses a Point Input.
I think I made the move to Icons around about the move from version 0.5 to 0.6, possibly before. I initially thought that I would go back to text because I loved the mono chromatic look of the text but I soon realised that Icons were the way forward. The greatest benefit is speed. You don't need to digest and decipher every component (which is written 90 degrees to the norm).
I'm not saying you should move to Icons forthwith but at least consider that once you have a better knowledge and understanding of GH, Icons will set you free.
My top ten tips that I would highly recommend to anyone wanting to better themselves with GH.
1) Turn on Draw Icons
2) Turn on Draw Fancy Wires
3) Turn on Obscure Components
4) Use the Create Facility like a Command Line eg "Slider=-1<0.75<2" or "Shiftlist=-1"
5) Use Component Aliases to customise your use of the Create Facility eg giving the Point XYZ component an alias of XYZ will bring it up as the first option on the Create Facility as opposed to the other possibilities.
6) Try to answer other people's questions even if it's not relevant to your own area. By looking into solving a problem outside of your comfort zone and then posting your results it is very rewarding but it also lets you see the other approaches that get posted in a new light.
7) Take the time to understand Data/Path structures.
8) Buy a second monitor - There is nothing that can compare to real estate when working in Grasshopper.
9) Read Rajaa Issa's Essential Mathematics
10) Pick a panel in a tab on the ribbon and get to know every component inside and out and then move on. Start with the Sets Tab > List Panel…