Right now, there are just 3 predefined types (dot, arrow1, ellipsis), but this number can grow fast if people ask or expand this extension. Inkscape's extension to assist creating new markers with custom shapes and colors.ġ-) It is a convenient way to produce predefined markers you use very often. Together with the circles C1 to C5, this gives a total of 11 circles.Ĭontinuing the construction stage by stage in this way ad infinituum one obtains a set of circles which is an Apollonian gasket. We can construct another three new circles from C5, giving six new circles altogether. In a similar way we can construct another new circle C7 that is tangent to C4, C2 and C3, and another circle C8 from C4, C3 and C1. We already know one of these – it is C3 – but the other is a new circle C6. It is tangent to C1 and C2, so the triplet of circles C4, C1 and C2 has its own two Apollonian circles. Take one of the two Apollonian circles – say C4. Adding the two Apollonian circles to the original three, we now have five circles. Apollonius discovered that there are two other non-intersecting circles, C4 and C5, which have the property that they are tangent to all three of the original circles – these are called Apollonian circles. Start with three circles C1, C2 and C3, each one of which is tangent to the other two (in the general construction, these three circles can be any size, as long as they have common tangents). Tested Inkscape 0.91.Īn Apollonian gasket can be constructed as follows. "Extensions->Folded Forms->Sheet Metal Conus."Įxtension to make Apollonian gaskets. The menu entry for this this extension can be found under: Applications/Inkscape.app/Contents/Resources/share/inkscape/extensions/ Type the following into the address line on a File Browser window: Edit -> Preferences -> System: User extensions The extension unfolds a frustum (=truncated cone) or a cone (if cut diameter=0) and generates a sheet cutting layout or flat pattern projection that can be rolled or bend up into a (truncated) cone shape.Ĭopy the two files 'sheet_metal_conus.inx' and 'sheet_metal_conus.py' into the located in the "src/" folder of the downloadable zip file into inkscape's extensions folder: It can be used to generate a sheet cutting layout for a (truncated) cone. This extensions draws the 2D shape which is required to form a 3D cone (or truncated cone) after it's cut out (of whatever material).
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