Set of various vases created with this definition

So the basics here are, you change the radii of the arcs, and that way you get different vase each time you move the slider. There are couple of problems in this, since I myself am still a beginner in this Grasshopper thing, I don’t know how to constrain sliders to dynamic variables, so you might change a lot, and then the model will break.

Grasshopper display

One more thing to notice here is that some of the sliders are “connected” to other sliders. For instance, the overall height of the vase isn’t adjustable, but the radius of the neck and neck height, plus radius of bottom base (Main radius) actually define overall height. Grasshopper is as flexible as that, it really gives you freedom when making connections between objects. It really is up to you and your imagination.

Vase definition

Before you go crazy thinking you need to recreate this definition in your Grasshopper, do not worry, here is the definition file. Notice, this definition was created using Grasshopper3D WIP version 0.6.0019 and uses some commands that aren’t available in previous versions.,

Hope you create some cool vases with this

You can download this tutorial in PDF format here.

Organic Modeling for Jewelry Design with T-Splines and Rhino® 4

Designing an Earring

Juan Santocono

Industrial Design

Universidad de Buenos Aires, Argentine

Matt Sederberg

T-Splines, Inc.

© Copyright 2008 T-Splines, Inc.

Designing freeform objects can be difficult when working with traditional CAD software. T-Splines and Rhino 4 offer an easy way to create smooth, gap-free freeform models for jewelry design.

The best way to read this tutorial about how to model a earring using T-Splines is by look­ing at the 3D model at the same time. You can follow the model’s progress by selecting the differents layers in the file. T-Splines for Rhino must also be installed on your computer. Both T-Splines for Rhino and the earring model can be downloaded at www.tsplines.com.

In this tutorial, anything in Blue is a Rhino command, while anything in Red is a T-Splines command. Type these commands in the command line of Rhino to run them.

STEP 1 – MESH

Creating the base mesh
To get the general shape of the ear­ring we will start by creating a Mesh­torus, with VerticalFaces=8 and AroundFaces=16.

STEP 2 – T-SPLINE SURFACE

Converting the mesh
Once we have the mesh torus we just need to convert it to a T-Spline surface.

Use tsConvert and select the mesh to perform the conversion. Now we have a T-Spline torus with the same control points as the mesh torus.

STEP 3 – T-SPLINE MODIFICATION

Extruding faces
The earring design is a sun, so we need to create the sun rays. We will include some long rays and some short rays.

We will create the long rays first. To make these, we will extrude some faces with tsExtrude.

1-Extrude selected faces (yellow) as shown.

2-In order to get flat rows of control points for the next extrusions, we need to flatten selected points. Use tsScriptFlattenPoints. Do this with each of the 4 ray tips separately.

3-Extrude the flattened faces again (tsExtrude).

4-Extrude them again.

5-Extrude them twice more (a total of four extru­sions). This will give us sufficient control points to add details to the rays.

STEP 4 – T-SPLINES ADJUSTMENTS

1-Draw the base and target curves for both sides of the sun rays.

2-Use FlowAlongCurve on all the left-side control points.

3-Use FlowAlongCurve on all the right-side control points.

STEP 5 – T-SPLINES ADJUSTMENTS

Modifying front profile
To modify the front profile we are going to do something similar to the previous step, but (for the sake of introducing an alternative workflow) instead of using the flow command we are going to do it manually. Draw some reference curves to provide us with a reference on how we will to transform the surface.

1-Once we have the reference curves, just select the lower row of control points (shown) and use tsManip (scale and move) to match the surface profile to the curves.

2-Repeat this process with the four rows of control points. This manual method can give us a decently accu­rate surface.

3-Now we have the shape that we want on one sun ray.

STEP 6 – T-SPLINES ADJUSTMENTS

Modifying details
Now we need to do some further adjustments to get the desired design. First, use tsManip to scale (+Y) all the center ray control points, this is to give a concave curvature to the sun rays.

Remember to select all the center points of the four rows on each side.

Second, using again de tsManip scale this four tip point, this will give us a more smooth tip.

1-Scale center control points +Y.

2-Scale tip control points -X.

STEP 7 – T-SPLINE ADJUSTMENTS

Copying the rays
We have completed the shape of one sun ray, now we need to shape the others. The design intent is that all four rays should have the same form, so we need to copy our first sun ray shape to the other three rays. Doing this manually would be slow and imperfect. For this rea­son we will use a method that assures us of the exact same shape on all the rays.

1-Select all control points of the shaped ray.

2-Use ExtractPt to make a point from each con­trol point.

3-Draw a Polyline, snapping to each row of po­ints. This represents the control polygon of the ray surface. Connecting the points is not strictly necessary, but is useful to give a visual unders­tanding of the control polygon.

4-Groups of control points from the shaped ray.
5-Copy these control polygons to each ray. Use Rotate (copy on).

6-Now, using snap (points and ends) move each T-Spline control point on each ray to its corresponding control polygon point from the shaped ray.

7-Repeat this with each ray until all four are shaped.

This method of copying shapes by snapping to copied control points might seem a little tricky at first sight, but with re­latively simple T-Splines shapes it is really fast and insures a symmetric shape.

STEP 8 – T-SPLINE MODIFICATION

Extruding small rays
Now we are going to create the shorter rays. For this we will extrude some faces with the tsExtrude command.

All of the modeling steps used to create the shorter rays are similar to those used for the lon­ger rays. Just follow the same workflow.

1-tsExtrude selected faces.

2-Flatten each face’s control po­ints (tsScriptFlattenPoints).

3-tsExtrude the flattened faces.

4-tsExtrude again and again. Four times total, just like the longer rays

STEP 9 – T-SPLINES ADJUSTMENTS

Copying smaller ray shape
Here we are going to use the same method we used on the longer rays, but we’ll save time by just copying and scaling the control polygons used for the longer rays and reusing them for the smaller rays. Just copy the control polygons of the longer rays, rotate them by 45 degrees, and scale them to be smaller. This will allow all rays, both long and short, to have the same shape.

STEP 10 – T-SPLINES ADJUSTMENTS

Modifying the center ring
To get the correct design we need to do some adjustments on the center hole. The intention is to have a bigger hole and a sharper edge on the transition betwen the sun body and the sun rays.

1-Select the control points shown and using scale2D, scale them outwards to give the hole a wider diameter and smooth the inner torus curvature. (The origin of the 2D scale is the center (0,0,0).)

2-Select the control points shown and using scale2D, scale them outwards to create a shar­per edge between the sun body and the sun rays.

STEP 11 – T-SPLINE ADJUSTMENTS

Adding control points
We need to add some more control points using tsInsertPoint for the next step. Adding a con­trol point near a star point (shown) will yield a small explosion of new control points to keep the surface unchanged; this influx of control points is desired in this case.

One more tweak before the next step: we’ll adjust the sun rays pro­portions. Just select the last 3 rows of the big rays and scale2D throught the center:

STEP 12

Creating a crease
Until now we have created a perfectly smooth T-Spline surface, but the design intention is to have a sharp edge on the inner part of the rays. Use tsCrease and select the first segments of each ray (both sides). The crease influence will extend across two isoparms.

STEP 12

Creating the body details
Basically, what we are going to do on this step is generating some strips that will decorate the body.

1-tsExtrude these front faces as shown.

2-Once they are extru­ded, we need to change the angle of the control points on these faces. A good way to do this on all faces at once is to scale2D on the selected points shown.

3-Now that we corrected the faces, it’s time for another tsExtrude.

4-Keep the extruded points selected and use the tsManip to move +Y to get a con­vex body.

5-Now it is time for one last tsExtrude.

6-We need to scale2D these control points that were extruded last, this will give us smaller and closer tips. The center of the scale should be on the center of the earring in order to modify it symmetrically.

7-Now, we want the strips to be deformed in a spiral. To make the deformation more accu­rate, we first need to add more control points. To do this, just use tsInsertPoint near the star point shown. This will generate the needed geometry for the deformation.

8-To make the spiral deformation we will use Maelstrom, one of the UDT tools. First, select all the control points that comprise the sun body strips. Be careful to not select other points.

Second, use the maelstrom tool, where the center is the middle of the earring and the first and second radius are just those necesary for rotating the control points.

The T-Spline surface is done! Now we only need to add the remaining details.

STEP 14 – OTHER PARTS

Creating the center part
For the center piece we will just create the profile of a shape and then use Revolve to gener­ate the geometry. You can use ExtractIsoCurve on the T-Spline surface to extract the curves that will be used for the center piece profile to get a perfect match between the parts.

Creating the hook
This is simple, draw the curve and use Pipe to generate the piece.

Union part
Draw the curve and use Pipe to generate the piece. Then just use BooleanDifference (Delete input=No) with the T-Splines surface.

Move the parts to fit each other.

The result is a perfectly smooth, highly detailed 3D model of an earring ready to be manufac­tured.

Good luck in your modeling!

Write to my e-mail below with any questions.

Juan Santocono,

Industrial Design

jsantocono@fibertel.com.ar

A free trial of T-Splines for Rhino may be downloaded at www.tsplines.com

You can download this tutorial in PDF format here.

Organic Modeling for Jewelry Design with T-Splines and Rhino® 4

Designing a Ring

Juan Santocono

Industrial Design

Universidad de Buenos Aires, Argentine

Matt Sederberg

T-Splines, Inc.

© Copyright 2008 T-Splines, Inc.

Designing freeform objects can be difficult when working with traditional CAD software. T-Splines and Rhino 4 offer an easy way to create smooth, gap-free organic models for jewelry design.

The best way to read this tutorial about how to model a ring using T-Splines is by looking at the 3D model at the same time. You can follow the model’s progress by selecting the differ­ents layers in the file. The model can be downloaded at www.tsplines.com.

In this tutorial, anything in Blue is a Rhino command, while anything in Red is a T-Splines command. Type these commands in the command line of Rhino to run them.

STEP 1 – WIREFRAME

Ring Profile
First, draw the main profile of the ring using Curve. For me, the best way to get the right pro­file is by designing it undeveloped.

This particular design consists of two hearts connected by the body of the ring. The idea is to have a smooth transition between the body and the hearts, with no sharp edges.

STEP 2 – WIREFRAME

Control Polygon
Use ExtractControlPolygon to extract the control polygons of the curves.

In step 5, we will use this control poly­gon to generate a T-Splines surface with the same profile of the native curves.

STEP 3 – WIREFRAME

Inner Lines
Once we have the control polygon profile, we need to connect the points.Remember that the ideal thing is to have rectangular regions (keep that rule of thumb in mind when you draw the curves.)

Each line intersection will determine where the control points will be on the surface.

STEP 4 – WIREFRAME

Extrude Lines
Now we need to extrude these lines with tsScriptExtrudeControlPolygon (Thanks JB and T-Splines for this amazing tool!) in order to get a 3D control polygon.

Remember to delete all the internal lines after extruding. These inner lines are not necessary for the tsControlPolygonToSrf command (next step).

STEP5 – T-SPLINES SURFACE

Transform to T-Splines Surface
Before generating the T-Splines sur­face, we need to be sure that we only have the lines we need; for this, I usu­ally use: first, ungroup all, then split selected curves against each other (tsSplitCurves), select duplicate curves (SelDup) and Delete them.

Now the curves are ready to be trans­formed to a T-Splines surface.

Select all lines and enter the tsControl­PolygonToSrf command.

Check the preview option to ensure the surface is correct. Now we have a T-Splines surface.

STEP 6 – T-SPLINES MODIFICATION

Body Profile
To get the desired body profile, we need to make some changes by moving control points of the T-Spline surface using tsManip.

First, scale -X (in the negative “X” direction) the twelve selected points shown on the screen­shot. Scaling points is a way of moving them symmetrically.

Second, move these same points -Z in order to get a smoother curvature on the outside part of the ring body.

STEP 7 – T-SPLINES MODIFICATION

Face Extrude
For the ring design we need a flat face on the inner part of the ring body that will touch the finger.

One way to do it is by extruding faces. With tsExtrude, select the faces to be extruded, in this case all the ones that comprise the inner body. Do not select faces that touch a star point, this will result in the addition of control points that we don’t want right now.

The extrusion must be very small to get a small radius transition to a flat surface. In this case, 0.3 mm.

After we extrude these faces and exit the command, points associated with the extruded faces will remain selected. Scale these points to get the flat surface closer to the ends of the hearts in a smoother transition.

It’s important to pay a lot of attention to how the T-Splines surface react to these control points movements in order to understand it and use it on future projects.

STEP 8 – T-SPLINES MODIFICATION

Heart Modification
The idea of the design is that the two hearts are thinner on the interior tip and thicker on the body. To achieve this we just need to select the control points on the parts of the hearts shown and scale them -Z. (Scale the points of both hearts at once to ensure a symmetrical scaling).

Next, unselect the outermost loop of con­trol points and repeat the -Z scale. Do this with every loop of points (shown below).

Now we have the final shape of the un­folded ring.

STEP 9 – ADJUSTMENTS

Curvature Analysis
One way to know if our surface has the correct curvature and smoothness is with the CurvatureAnalysis tool.

For example, here I used the Gaussian Style to see clearly which surfaces have a negative (blue) and positive (red) radius.

I detected a surface area where the curva­ture changes from negative to positive in an unintended location, which breaks the smoothness.

I selected the control points that affect that area and scaled them (-X) to smooth the surface.

Notice that you can manipulate the surface while keeping the analysis on, this gives immediate feedback.

Once the curvature is fixed, the T-Splines surface is done

STEP 10 – SURFACE CONVERSION

Set Smoothness
Once we are satisfied with our design, we transform our T-Splines surface to NURBS surfaces. We need to do this because for the next steps we will use some Rhino tools that only work on NURBS, not T-Splines.

Before converting to NURBS, use the tsSetStarSmoothness command to smooth the surface at star points. I used a smoothing value of 5.

Transform
Next, use the tsConvertToRhinosurf command to turn the T-Spline into a NURBS surface.

STEP 11 – BODY INSCRIPTION

Preparing Surfaces
You can add some inscriptions on the ob­ject in many different ways (e.g. Boolean operations). In this case I prefer to do it by managing surfaces instead of “solids.” This way I have more control at each part of the procces, and also have less geometry to manage, which results in faster opera­tions.

First, Explode the NURBS surface and Hide all the surfaces except the one we need (see the screenshot).

Follow this process:

1-Create a solid TextObject.

2-Fillet the text.

3-Scale the text to fit it on the surface (tsManip).

4-Trim the letters’ surfaces and then Join them all together.

5-Fillet the text with the ring.

6-Ones we have all the letters filleted, Unhide and Join all the surfaces together to yield a closed polysurface, like we had before the inscriptions.

STEP 12 – FINAL TRANSFORMATION

Flow Along Surface
Finally, we need to deform the undeveloped ring surface to get a circular ring. For this, we will use the UDT Rhino tool FlowAlongSurface.

First, draw an arc that represents the side ring profile, extrude it using ExtrudeCrv (the distance will be the width of the ring) and finally unroll it (UnrollSrf) to get the base surface needed for the UDT operation.

Now that we have got all the sur­faces needed, just use the FlowAlong Surface tool using the unrolled sur­face as the Base surface and the arc extrude as the Target surface.

The result is a perfectly smooth, high detail 3D model of a ring ready to be manufactured.

Good luck in your modeling!

Any questions, write to my e-mail below.

Juan Santocono,

Industrial Design

jsantocono@fibertel.com.ar

A free trial of T-Splines for Rhino may be downloaded at www.tsplines.com.

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