Undoubtedly the vase could have been scripted in many other ways and probably more efficiently too but this example demonstrates nicely to combine polygon, hull and intersection in OpenSCAD to create some neat shapes.

How does it work? First we create a number of polygons. The polygon is two dimensional shape in the xy-plane. Next each polygon is transformed into a 3d-shape, the segment in the script, and placed around the origin with the height in the z-direction. The segments are evenly spaced thus creating a star like shape.

Now the star-like shape is sliced in the z-direction and the hull operation is used to wrap each slice. All slices on top of each other result in the desired 3d-shape.

The coordinates of all the polygons are contained by the matrix variable. To create a distorted vase I use the sine function to vary some of the coordinates. The variation is based on number of the segment. The sine function can get a value between -1 and 1 but I limit the values between 0 and 1 to give the vase a more funnel like appearance. Of course we need to multiply the sine function to achieve a visible effect.

The possibilities are endless we could for instance make the height of the vase variable by adding another sine function but I leave that to the viewer.

You can download my OpenSCAD file here: https://www.prusaprinters.org/prints/86210-distorted-vase
This is licensed as CC BY-SA (explanation of Creative Common licenses: https://creativecommons.org/licenses/)

OpenSCAD is software for creating solid 3D CAD objects. It is free software (GPLv2) and available for Linux/UNIX, MS Windows and Mac OS X.

Music in the introduction "4 Guitars" by Stefan Kartenberg (http://dig.ccmixter.org/files/JeffSpeed68/55279)

In this video I’ll show you the geometry and how to calculate all the dimensions of a Geneva drive thus enabling you to create any complete Geneva wheel yourself. During this project I designed, 3d printed and assembled several Geneva drives but for this video I’ll concentrate on the drawing of the Geneva wheel in Solvespace. However I do provide all the available Solvespace files for the wheel, crank and mount as well as the LibreOffice spreadsheet shown in this video.

links:
Maker's Muse video on the Geneva wheel: https://invidio.us/watch?v=1lyWywC_z4o

The animation of the Geneva drive was taken from Wikipedia article: https://en.wikipedia.org/wiki/Geneva_drive. The animation is public domain.

Solvespace files for the 6 slot Geneva drive mechanism:
mount: https://drive.google.com/open?id=16I7jlSP3wSMFsNibA4037QIhivsbHtef
crank: https://drive.google.com/open?id=1c0F9ohTTu_nBDvzeGqrnFAEsumUOZg11
wheel: https://drive.google.com/open?id=1kCoesJJ4Ph3hLjGLmXLo50TyMc0O-vXz
The Solvespace files are all CC BY-SA (explanation of Creative Common licenses: https://creativecommons.org/licenses/)

Spreadsheet in open document format (.ods): https://drive.google.com/open?id=1hlU7H6eaDbdahSgTSBHvdT2yt7FwyPQ5

Music in the introduction "4 Guitars" by Stefan Kartenberg (http://dig.ccmixter.org/files/JeffSpeed68/55279)

For this video I used Solvespace v2.3 on OSX.

Solvespace is open source (GPLv3 license) and is available for Window, OSX and Linux. It is developed by Jonathan Westhues and maintained by Whitequark and others. It can be downloaded here: http://solvespace.com/download.pl

This video features the song "4Guitars" by JeffSpeed68 available under Creative Commons license non-commercial.

Solvespace is an excellent 3DCAD tool to design and study linked assemblies. Solvespace is free and open source (GPLv3) and can be downloaded here: http://solvespace.com/download.pl

This video was edited with the great free and open source programs Shotcut and Audacity.
Shotcut can be downloaded here: https://www.shotcut.org/download/
Audacity can be downloaded here: https://www.audacityteam.org/download/

Solvespace is an excellent tool to design and study such assemblies. As an introduction to this topic I’ll design a simple rigid body assembly, the scissor linkage. After I created a system of multiple linked scissors I’ll use the analyses tools of Solvespace to study the movement. Furthermore I’ll use these tools to export a csv file and use Gnuplot to create a graph with it.

Solvespace is free and open source (GPLv3) and can be downloaded here: http://solvespace.com/download.pl

Gnuplot is a command-line program that can generate two- and three-dimensional plots of functions, data, and data fits. Official source code to gnuplot is freely redistributable, but modified versions thereof are not. The gnuplot license instead recommends distribution of patches against official releases, optionally accompanied by officially released source code. Binaries may be distributed along with the unmodified source code and any patches applied thereto. More information about Gnuplot van be found here: http://gnuplot.info/

This video was edited with the great free and open source programs OpenShot and Audacity.

This video was edited with the great free and open source programs OpenShot and Audacity.
Solvespace can be downloaded here: http://solvespace.com/download.pl

Music: "4 Guitars" by JeffSpeed68 (Creative commons non-commercial license)

This video is a remastered version of a version that I published earlier. I'm happy to say that this version actually looks way better than the YT one. Remastering my videos is a time consuming process so I plan to upload one remastered Solvespace video every week.

Solvespace can be downloaded here: http://solvespace.com/download.pl

This video is a remastered version of a version that I published earlier. I'm happy to say that this version actually looks way better than the YT one. Remastering my videos is a time consuming process so I plan to upload one remastered Solvespace video every week.

This video is edited with the free and open source video-editor OpenShot.

This video was published earlier by me on YouTube but I intend to create PeerTube-only videos at a later stage.