The cabochon cut is not really a facet cut. It has rounded sides.
The cabochon cut is a very old cut/grind.
The sugarloaf is a "square" rounded pyrimidal cut/grind.
Some lapidarist cut a square facet design, and then grind off to rounded sides.
The work is done by hand, so there are many possible designs.
Your picture shows grooves cut, for the mounting. This is not always done, if another mounting can work.
The bottom can be round or flat, below the "girdle".
It seems easy enough to boolean together some dome shapes in MoI, to make the rounded sides. Plus some fillets.
Unhide curves to see the curves, make the vertical one pointier if you want more of a point.
Then use a rail revolve, the vertical curve being the profile, the ground one being the rail, use a straight z axis as revolve axis.
then, if you want those 4 edges to be harder, you can create some lines and trim some edge loops near, like in poly modeling and it will harden the edges you want. Takes just a bit more work to be sure you keep supported polygon types...
Looking at google pics it seems like they very a little bit if they come to a point or not so that is going to be hard to find a cad profile for the requirements. I did find a reference here though with a description, I used a point in this example.
Pilou, bemfamer, Death, Burrman, Phiro, Grendel, you are awesome and your input
is very much appreciated.
This Cabochon shape is really interesting, it looks like four symmetrical planes with
a curved tip and the very top unifying all four surfaces being additionally rounded in
a bit different way.
In regard of this endeavour I stumbled over the great little Squircle Script - is there a
difference in it to the "perfect ellipse" script which I was unable to find ?
I think that the "super-ellipse" has more generalized, elaborate mathematics, than the squircle script.
(The squircle is a subset of the super-ellipse...)
(I like Burr's method, for the Cab.)
The squircle shape for the outline of the gem is nice.
The lower portions of the Cab gem seem to vary, and are important for mounting...
Read that the bottom is often not polished, for light reasons, and can be flat or rounded.
It is difficult to cut, for perfect symmetry. Have not seen the special tool machine which could be used...
The Squircle (still strugelling with this word ;-)) script is really useful.
Taking a closer look at available photo material it seems
that the 4 edges start almost completely rounded at
the bottom sharpening towards the tip. The tip itself
being a surface of its own filling the gap between
the four surfaces.
Hi Tom,
perhaps this method will give you the rounded peak needed.
I started with a square and added mid points to each side.
Then selected the mid points and scaled to give the desired curvature,
Offset copies made and added point for peak then lofted as per Burr's video.
Added a fillet running diagonal from corner to corner.
The other diagonal same radii but requires a second fillet set for the peak area to be slightly smaller.
hope that makes sense.
Cheers
Barry
Since it seems the surgarloaf is more of an "artistic grind" and not really a mathematically produced result, you can change the base shape and all the angles of the surface structure, along with Blend parameters to "Eyeball" some various results... All smooth.
Uh I guess I mixed up your names ... Yes, the Video shows Burrman using
the Superellipse script and as I did not find this one (I am using the "Squircle")
I wondered about the differnces.
About February 2022, a different squircle, using a different math formula, was created, the Fernandez-Guasti squircle. (Later in above link.)
This version is not a subset of superellipse2d. (?)
- Brian
I looked up the pronunciation of squircle. Combine the rodent squirrel with ircle.
(still hasn't made it into spellchecker :-)
On the first picture of this thread and in the video we see, the Sugarloaf Cabochon have 4 faces with edges.
With the video, I discover the render of this cut, that I see very rarely in stores.
Very nice cut...
sugarcut.3dm
