Here is my trial (and error) using multiple tools...

1. Original development file downloaded from wikipedia

2. Convert the image in color-off by Krita's filter. However, thin line and color could not be captured by Inkscape's function of "Trace Bitmap"

3. Bold the line and color by GIMP (selection, "Grow" and "fill with FG color")

4. Bitmap to path by Inkscape

5. But! The path is duplicated and sometime not connected like above. Configuration to edit colors in Bitmap or parameters like quantum in Inkscape might work. However, here it's easy to make polygons and generate it into 2D/3D model rather than being sticky with configuration. So, I gave up capturing at this point and started to make sketch.

Files(dxf, svg)

FreeCAD

FreeCAD is open source 3D parametric modeler. As Neil instruction in global session, that supports every general concepts for 3D modeling like constraints/shape/resolve/loft/sweep/fillet/assempling(touch/vertex)/folding/parametric modeling/algorithmic modeling/sending geometry to external renderer in real time/animation etc.)

Firstly, I went through with FreeCAD Tutorial by Fab Academy. The tutorial was super helpful to get familiar with basic function in FreeCAD.

Then I tried to make a development sketch of "GPR".

While I tried to make triangle and pentagon with constraint of length, make "clone"s of them and attach the unit using constraint of coincident. However, the shape of polygons looks to be changed occasionally when coincident constraint works.

Furthermore, FreeCAD freezes or goes down in my Macbook Pro frequently even though I stopped the other applications and allocate resources to FreeCAD. This seems to happen in the other FabAcademy students who use OSX version of FreeCAD. Considering time constraints, I moved to Fusion360 that I experienced in Pre-session for FabAcademy and it's much stable in my local environment.

Fusion360

Fusion360 is a cloud based CAD/CAM tool that is dominant to be used in many modeling scene. That covers every concepts for 3D modeling as well as FreeCAD. It works in my local environment smoothly, so I use this for drawing materials' design of my final project. Finally, I rendered below images putting original logo!

How I make this?

Fusion360: 2D model of a development image

1. Sketch polygon(triangle and pentagon) and add length as "dimension".

2. Attach polygons using "coincident" constraint.

3. A development image of Gyroelongated pentagonal rotunda

Files(dxf, f3d)

Fusion360: 3D model

At first I tried to fold the 2D development image and make a 3D polyhedron. I tried following steps. However it did not work as I could not set axis of edge correctly.

1. Add patches on surface of sketch (without thickness)

2. Split body into multiple polygons for each polygon

3. Create components from bodies

4. Fold a component of polygon along the side (edge of polygon) as a pivot. However, I could not set the edge of polygon as pivot in proper distance and angle.

Instead of folding, I make 3D design as follows. An instruction in this blog (in Japanese) helped me to make this.

1. Sketch polygon(triangle and pentagon), add constraints of length as "dimension" and make construction line in horizontal position of opposite side, then end sketch.

2. End sketch and check resolved line of revolve the side of triangle for finding intersect point of revolved vertex (pivoting bottom of triangle) and revolved side (pivoting the construction line at 1.).

3. Construct > construction plane from three points

4. Sketch polygon(triangle) and create patch to surface of it and pentagon at the bottom.

5. Add a construction line as a central pivot of pentagon at the bottom.

6. Pattern > Circular pattern and make 4 copies of triangle by set a central contraction line(5.) as axis.

7. create a construction plane for side pentagon from three points of triangle.

8. sketch a edge polygon on construction plane of 7.

9. Add patch to added polygon.

10. Pattern > Circular pattern and make 4 copies of triangle by set a central contraction line(5.) as axis (same as 6.)

11. Repeat same process from 7. to 10. and make triangles to upper side.

This image is making a circular pattern for side rectangle. I changed my mind to make rectangle instead of triangle for good usability to set or remove the front panel. For making the rectangle in the side, I constructed "offset plane" for upper side of decagon, create "project" line of the decagon and traced the line of it.

Unfortunately, there are no screenshot for these detail works.

• "Thicken" the surface of patch. It's necessary to check the direction of the distance of thick. I set it into "from inside to outside"
• Sketch the "Center diameter circle" of top table at the "offset construction plane", then "extrude" it for giving thickness
• Sketch the "rectangle", "filet" and "extrude" of table stopper
• Make hole on the side rectangle using "extrude" the circle through table stopper ("to All")
• Make hole on the top table using "extrude" the circle through through the top table ("to All")
• Attach the tenon(ホゾ?) to the top of table stopper using "extrude" and "joint to obeject"
• "Make components from bodies"
• "Assemble > Joint" - attach table stopper to the inside of the side rectangle and top table to the table stopper
• "Design > Render" - set "appearance" and "scene"(background) of the object
• Put logo image to the surface using "Decal"

I tried to make every value of length, diameter and thickness as user parameter.

Some looks to be effective to reflect value to the model, but the others not because the way to make polyhedron(凸多面体) and constraint would have conflict..? This needs to be checked in next week activity of computer controlled cutting.

Files(f3d, step)

Create animation timeline with "Auto Explode", "Restore All", add camera angles and zooming.

I tried the other CAD tools.

Grasshopper(Rhinoceros)

Grasshopper is a visual programming language and environment that runs as a plugin within the Rhinoceros . This video is a 3D "Voronoi" model that I created following a youtube tutorial

Voronoi 3D modeling using Grasshopper.

Blender

Blender is a free and open-source 3D computer graphics software used for creating animated films, visual effects or 3D printed models etc.

Editing vertex of sculpture surface in Blender

• GIMP(logo): xcf, png
• Inkscape(traced path from bitmap): dxf, svg
• Fusion360(Product outline overview)
• 2D model(development image): dxf, f3d
• 3D model: f3d, step

• GIMP Documentation
• Krita Documentation
• Inkscape Tutorial
• FreeCAD
• FreeCAD Tutorial videos by FabAcademy
• Autodesk Fusion360 Knowledge Network
• Fusion 360 マスターズガイド ベーシック編 改訂第2版 (日本語:Japanese)
• Rhinoceros
• Grasshopper
• Blender
• ffmpeg documentation

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