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31 Oct 2024 10:23:34 EDT (-0400)
  Emerald cut angles? (Message 1 to 5 of 5)  
From: Cousin Ricky
Subject: Emerald cut angles?
Date: 12 Aug 2017 23:16:50
Message: <598fc4a2@news.povray.org>
One would think that it would be easy to find data on emerald cut 
emeralds, but Web searches yields almost entirely emerald cut 
*diamonds*.  I have to specifically exclude the word "diamond" from the 
search in order for the Web to acknowledge that any other gems exist on 
this planet other than diamonds.

But even so, it seems impossible to find information on cut angles for 
emerald.  Lots of descriptions of the emerald cut, but no actual 
numbers.  I did find one informal recommendation for an emerald cut--for 
sapphire!  But sapphire's IOR is considerably higher than emerald's.

So, I tried finding some viable angles myself.  I'm not having any luck; 
all but the shallowest crowns leak light like a sieve:

   emerald_specs-flat.png
     Demonstrates the range of pavilion angles that contain the light
     with a flat crown.
   emerald_specs-near_flat.png
     Any crowns steeper than this will leak light.
   emerald_specs-shallow.png
     A damn shallow crown.
   emerald_specs-steep.png
     And it doesn't get any better at steeper angles.

I used an IOR of 1.584, which is what I estimate is emerald's IOR at a 
green wavelength, based on 1.580 at D and a dispersion of 1.089.

I went searching deeper, and found a cut designed by Jim Perkins, and 
published in Lapidary Journal Jewelry Artist, October 2010.  Although 
his cut is not a traditional step cut, I tested his angles in my rig:

   emerald_specs-perkins-long.png
     The angles Perkins used on the long side of his cut.

It still leaks, even though he calibrated his cut for an IOR of 1.54, 
which I imagine less forgiving than emerald's.  Is it possible to get a 
leakless emerald cut with a decent crown?  Or do they count on leaked 
light being reflected back from the setting?  Will light coming into the 
crown at an angle leak less, or at least compensate?  (I suppose I can 
find out if I budget more render time.)  Can someone channel Steve Paget?


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Attachments:
Download 'emerald_specs-flat.png' (74 KB) Download 'emerald_specs-near_flat.png' (73 KB) Download 'emerald_specs-shallow.png' (70 KB) Download 'emerald_specs-steep.png' (79 KB) Download 'emerald_specs-perkins-long.png' (79 KB)

Preview of image 'emerald_specs-flat.png'
emerald_specs-flat.png

Preview of image 'emerald_specs-near_flat.png'
emerald_specs-near_flat.png

Preview of image 'emerald_specs-shallow.png'
emerald_specs-shallow.png

Preview of image 'emerald_specs-steep.png'
emerald_specs-steep.png

Preview of image 'emerald_specs-perkins-long.png'
emerald_specs-perkins-long.png


 

From: Cousin Ricky
Subject: Re: Emerald cut angles?
Date: 12 Aug 2017 23:20:40
Message: <598fc588$1@news.povray.org>
On 2017-08-12 11:18 PM (-4), Cousin Ricky wrote:
>   emerald_specs-flat.png
>     Demonstrates the range of pavilion angles that contain the light
>     with a flat crown.
>   emerald_specs-near_flat.png
>     Any crowns steeper than this will leak light.
>   emerald_specs-shallow.png
>     A damn shallow crown.
>   emerald_specs-steep.png
>     And it doesn't get any better at steeper angles.

These are rendered with the light source slightly offset, because in 
real life, lights directly behind us don't shine through our skulls. 
The stones are tilted 45 degrees from the vertical, with the camera 
positioned perpendicular to the table.

test_gemcuts-emerald-face.jpg
   Has the same cross section as emerald_specs-steep.png
test_gemcuts-emerald-near_flat.jpg
   Has the same cross section as emerald_specs-near_flat.png.  No light
   leakage, but it looks pretty pathetic.


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Attachments:
Download 'test_gemcuts-emerald-face.jpg' (13 KB) Download 'test_gemcuts-emerald-near_flat.jpg' (12 KB)

Preview of image 'test_gemcuts-emerald-face.jpg'
test_gemcuts-emerald-face.jpg

Preview of image 'test_gemcuts-emerald-near_flat.jpg'
test_gemcuts-emerald-near_flat.jpg


 

From: Stephen
Subject: Re: Emerald cut angles?
Date: 13 Aug 2017 11:39:58
Message: <599072ce$1@news.povray.org>
On 8/13/2017 4:18 AM, Cousin Ricky wrote:
> One would think that it would be easy to find data on emerald cut

[Snip]

>
> It still leaks, even though he calibrated his cut for an IOR of 1.54,
> which I imagine less forgiving than emerald's.  Is it possible to get a
> leakless emerald cut with a decent crown?  Or do they count on leaked
> light being reflected back from the setting?  Will light coming into the
> crown at an angle leak less, or at least compensate?  (I suppose I can
> find out if I budget more render time.)  Can someone channel Steve Paget?

I remember the time when people would shout at you for being on topic in 
off topic. ;)


Looking at the site below. It looks to me that a 2D test will not 
represent a 3D object very well as for the pavilion, the Break Facets 
are rotated and not in the same plane as the adjacent Pavilion Mains.
Actually I get the feeling that you might need to do two or three 
images. One for the Crown Mains with the Pavilion Mains and one with the 
Crown Break Facets with the Pavilion Break Facets.
I assume that three angles are used in an emerald cut as opposed to two 
for a  brilliant cut?

I've got a gut feeling that you need to do them separately.


https://www.gemsociety.org/article/lapidary-fundamentals-gemstone-faceting/


-- 

Regards
     Stephen


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From: Cousin Ricky
Subject: Re: Emerald cut angles?
Date: 13 Aug 2017 13:59:13
Message: <59909371@news.povray.org>
On 2017-08-13 11:39 AM (-4), Stephen wrote:
> Looking at the site below. It looks to me that a 2D test will not
> represent a 3D object very well as for the pavilion, the Break Facets
> are rotated and not in the same plane as the adjacent Pavilion Mains.
> Actually I get the feeling that you might need to do two or three
> images. One for the Crown Mains with the Pavilion Mains and one with the
> Crown Break Facets with the Pavilion Break Facets.
> I assume that three angles are used in an emerald cut as opposed to two
> for a  brilliant cut?
>
> I've got a gut feeling that you need to do them separately.

The emerald cut is quite different from the round brilliant.  There are 
three crown facet levels, three pavilion facet levels, and no break 
facets.  A 2-D representation is quite adequate for the middle part of 
this cut.

> https://www.gemsociety.org/article/lapidary-fundamentals-gemstone-faceting/

The Web is replete with many different gem cuts and materials, but seems 
to have the particulars for only one cut and only one material.  The 
particulars on this page are for the round brilliant cut, and the stated 
angles indicate that the material they have in mind is diamond: exactly 
the information that is ubiquitous all over the Web, and therefore 
exactly *not* what I'm looking for.  (Whoever said diamonds are rare 
either hasn't done a Google search or works for De Beers' marketing 
department.)

Where it says that the procedures are the same for any material, they 
are referring to the technique, not the actual numbers that you plug 
into the machine.  And the technique is what I'm least interested in 
(for now), because I'm trying to simulate a gemstone, not cut one. 
(Hmmm, I see you point.  This probably isn't off-topic after all.)

Sorry.


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From: Stephen
Subject: Re: Emerald cut angles?
Date: 13 Aug 2017 15:32:18
Message: <5990a942$1@news.povray.org>
On 8/13/2017 7:00 PM, Cousin Ricky wrote:
> On 2017-08-13 11:39 AM (-4), Stephen wrote:
>> Looking at the site below. It looks to me that a 2D test will not
>> represent a 3D object very well as for the pavilion, the Break Facets
>> are rotated and not in the same plane as the adjacent Pavilion Mains.
>> Actually I get the feeling that you might need to do two or three
>> images. One for the Crown Mains with the Pavilion Mains and one with the
>> Crown Break Facets with the Pavilion Break Facets.
>> I assume that three angles are used in an emerald cut as opposed to two
>> for a  brilliant cut?
>>
>> I've got a gut feeling that you need to do them separately.
>
> The emerald cut is quite different from the round brilliant.  There are
> three crown facet levels, three pavilion facet levels, and no break
> facets.  A 2-D representation is quite adequate for the middle part of
> this cut.
>

I'll take your word for it.

>> https://www.gemsociety.org/article/lapidary-fundamentals-gemstone-faceting/
>>
>
> The Web is replete with many different gem cuts and materials, but seems
> to have the particulars for only one cut and only one material.  The
> particulars on this page are for the round brilliant cut, and the stated
> angles indicate that the material they have in mind is diamond: exactly
> the information that is ubiquitous all over the Web, and therefore
> exactly *not* what I'm looking for.  (Whoever said diamonds are rare
> either hasn't done a Google search or works for De Beers' marketing
> department.)
>

They're so common they even use them in drill bits.

> Where it says that the procedures are the same for any material, they
> are referring to the technique, not the actual numbers that you plug
> into the machine.  And the technique is what I'm least interested in
> (for now), because I'm trying to simulate a gemstone, not cut one.
> (Hmmm, I see you point.  This probably isn't off-topic after all.)
>
> Sorry.
>

I'm sorry I couldn't help.

-- 

Regards
     Stephen


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