FORM 2
THE PATENTS ACT, 1970 (39 of 1970) & THE PATENTS RULES, 2003
COMPLETE SPECIFICATION (See section 10, rule 13) 1. Title of the invention: GEMSTONE FACETING
2. Applicant(s)
NAME NATIONALITY ADDRESS
SAHAJANAND Indian Sahajanand Estate, Wakharia Wadi,
TECHNOLOGIES PRIVATE Near Dabholi Charrasta, Ved Road,
LIMITED Surat - 395004, Gujarat, India
3. Preamble to the description
COMPLETE SPECIFICATION
The following specification particularly describes the invention and the manner in which it
is to be performed.

TECHNICAL FIELD
[0001] The present subject matter relates, in general, to processing unpolished
gemstones.
BACKGROUND
[0002] Generally, unpolished gemstones are subjected to various machining
operations, such as faceting, to obtain polished gemstones. Faceting is a process of creating flat surfaces, called facets, on various portions of the gemstone by removing excess material from the gemstone, in order to improve its appearance. Conventionally, faceting can be achieved using a laser source that may project a laser beam on the unpolished surface the gemstone at a predetermined angle. During the operation, based on the number of facets to be formed on the gemstone, laser beam may be directed on the different surfaces on the gemstone.
BRIEF DESCRIPTION OF DRAWINGS
[0003] The detailed description is described with reference to the accompanying
figures. In the figures, the left-most digit(s) of a reference number identifies the figure in which the reference number first appears. The same numbers are used throughout the drawings to reference like features and components
[0004] Fig. 1 illustrates a gemstone faceting system, in accordance with an
implementation of the present subject matter.
[0005] Figs. 2(a) – 2(e) illustrate various stages of a method performed by the
gemstone faceting system of Fig. 1 for creating facets on a surface of a gemstone, in accordance with an implementation of the present subject matter.
[0006] Fig. 3 describes a method for creating facets on a gemstone, in accordance
with an implementation of the present subject matter.
DETAILED DESCRIPTION
[0007] Conventionally, facets on a gemstone, for example, a diamond or a
precious or a semi-precious stone, may be formed by directing a laser beam on an unpolished gemstone.

[0008] Generally, various surfaces of the gemstone, such as Table, Crown, girdle
and pavilion were cut and multiple facets were created on the surfaces one by one. Each facet on a surface is created by moving the gemstone along a required axis. For example, X-axis movement of the gemstone in a horizontal plane takes place for initial positioning, such that the laser beam is made incident on a portion of the surface. The laser beam cuts a facet on the surface of the gemstone. Post forming the facet on one portion of a surface, the diamond is repositioned such that the laser beam is now made incident on the next portion of the surface to create another facet. As may be understood, in order to form multiple facets on a surface of the gemstone, different unpolished portions of a surface of the gemstone may be processed separately. For example, for making 8 facets at the pavilion surface, each facet gets cut one by one from a starting point to an ending point on the gemstone.
[0009] Repositioning of the gemstone for creating multiple facets is a time
consuming process. Further, repeated positioning of the gemstone may be prone to human errors and hence the quality of the finished or polished gemstone may be less. Furthermore, conventional gemstone processing systems are restricted to imparting linear motions to a gemstone in horizontal plane or in vertical plane. As a result, parallel operations cannot be performed to create multiple facets on a single surface of the gemstone.
[0010] The present subject matter relates to creating multiple facets on a
gemstone such as a diamond using a laser beam. Systems and methods of the present subject matter for creating facets on a surface of the gemstone facilitates precise and efficient formation of facets on a crown surface, a girdle surface, and a pavilion surface of the gemstone. The systems and methods of the present subject matter enables the gemstone to move in a horizontal plane and a vertical plane, and rotate about a rotational axis of the gemstone. Thus, the gemstone is imparted both rotary motion about the rotational axis and reciprocatory motion in the horizontal plane

concurrently. As a result, the laser beam cuts multiple facets on a single surface of the gemstone in a continuous manner.
[0011] In accordance with an implementation of the present subject matter, a
gemstone faceting system includes a laser source, a holder, and an actuating device.
The laser source generates a laser beam to create facets on a surface of the gemstone.
The holder holds the gemstone and positions the gemstone to make the laser beam
incident on the surface. The actuating device is coupled to the holder and imparts a
rotatory and recipocatory motions simultaneously to the gemstone. The gemstone is
reciprocated in a horizontal plane and rotated about the rotational axis concurrently,
such that the laser beam traverses through the plurality of portions on the surface of
the gemstone to cut multiple facets in a continuous manner and in a single rotation.
[0012] The systems and methods of the present subject matter enables creation of
plurality of facets on a surface of the gemstone in a single complete rotation of the gemstone. Therefore, repositioning of the gemstone after creation of each facet is eliminated. As a result, the facets are created in less time. Further, risk of human error due to repositioning of the gemstone is also reduced. Thus, quality of finished gemstone is improved as compared to the finished gemstone obtained by conventional systems and methods.
[0013] The manner in which the systems and methods for creating facets of a
surface of a gemstone shall be implemented has been explained in details with respect to Figs. 1 to 2(e). It should be noted that the description and figures relate to exemplary implementations, and should not be construed as a limitation to the present subject matter. It is also to be understood that various arrangements may be devised that, although not explicitly described or shown herein, embody the principles of the present subject matter. Moreover, all statements herein reciting principles, aspects, and embodiments of the present subject matter, as well as specific examples, are intended to encompass equivalents thereof.

[0014] Fig. 1 illustrates a gemstone faceting system 100 for processing a
gemstone 102, in accordance with an implementation of the present subject matter. The gemstone faceting system 100 includes a rotatable mount 104, an actuating device 106, a laser source 108, a first beam orientation device 112, a lens 114, a second beam orientation device 118, an image capturing device 120, and a programmable logic controller (PLC) (not shown in Fig. 1).
[0015] The rotatable mount 104 is interchangeably referred to as holder 104
hereinafter. The holder 104 holds the gemstone 102 to create facets on a surface of the gemstone 102. The surface includes a crown, a girdle, or a pavilion. For processing different surfaces of the gemstone 102, the holder 104 may hold the gemstone 102 at different orientations. For example, for creating facets at the crown surface of the gemstone 102, the holder 104 may hold the gemstone 102 upright to keep the crown surface at top and pavilion surface at bottom. In another example, for creating facets at the pavilion surface of the gemstone 102, the holder 104 may hold the gemstone 102 in inverted position to keep the pavilion surface at top and the crown surface at bottom.
[0016] The actuating device 106 is coupled to the holder 104 by a shaft (not
shown in Fig. 1). The actuating device 106 controls the movement of the holder 104 and the gemstone 102. In an example implementation, the holder 104 is coupled to a plurality of actuating devices 106 where each of the actuating devices 106 is to rotate the gemstone 102 about a rotational axis or to translate the gemstone 102 in a horizontal plane or a vertical plane or to tilt the gemstone. The actuating device 106 may impart rotational motion, tilting motion, and translational motion to the gemstone 102. The actuating device 106 translates the gemstone 102 in the horizontal plane, i.e. along X-axis or Y-axis. In addition, the actuating device 106 may also translate the gemstone 102 in the vertical plane i.e. along z axis. Further, the actuating device 104 tilts the gemstone 102 along a tilt axis. The title axis is aligned with

respect to the Z-axis. The alignment of the tilt axis with respect to the Z-axis may vary for creating facets on various surfaces of the gemstone 102.
[0017] For example, the tilt axis is aligned at an angle of 33 degrees with respect
to the Z-axis to create facets at the crown surface of the gemstone 102. In another
example, the tilt axis is aligned at angle of 41.5 degrees with the Z-axis to create
facets at the pavilion surface of the gemstone 102. In another example, the tilt axis is
aligned at angle of 49 degrees with the Z-axis to create facets at the pavilion surface
of the gemstone 102. Moreover, the actuating device 106 also rotates the gemstone
102 about the rotational axis. The rotational axis is aligned along the title axis.
[0018] The laser source 108 generates a laser beam 110 to process the gemstone
102. The beam orientation device 112 delivers the laser beam 110 from the laser source 108 towards the gemstone 102, as shown in Fig. 1. The beam orientation device 112 may be partially mirrored. For example, the beam orientation device 112 can be a glass coated with a reflecting layer that may reflect laser beam 110 and may also allow lights of other wavelengths to pass through it. Further, the lens 114 is installed to focus the laser beam 110 directed from the beam orientation device 112 on a surface of the gemstone 102.
[0019] As shown in Fig. 1, the lens 114 is arranged over the holder 104 and the
holder 104 is arranged over the actuating device 106. The arrangement makes the laser beam 110 incident over the gemstone 102. The laser source 108, beam orientation device 112 and the lens 114 are fixed in the gemstone faceting system 100. As a result, the focus of the laser beam 110 is also fixed at a focal point below the lens 114. The actuating device 106 positions the gemstone 102 such that the laser beam 110 is incident on a surface of the gemstone 102 and cuts specific portions on the surface of the gemstone 102 to obtain facets.
[0020] The PLC includes processor(s) which may be implemented as
microprocessors, microcomputers, microcontrollers, digital signal processors, central processing units, state machines, logic circuitries, and/or any devices that manipulate

signals based on operational instructions. Among other capabilities, the processor(s) may fetch and execute computer-readable instructions stored in a memory (not shown) coupled to the processor(s) of the PLC. The memory may include any non-transitory computer-readable storage medium including, for example, volatile memory (e.g., RAM), and/or non-volatile memory (e.g., EPROM, flash memory, NVRAM, memristor, etc.). The memory may be internal or external to the PLC. The functions of the PLC may be provided through the use of dedicated hardware as well as hardware capable of executing computer-readable instructions.
[0021] The PLC is coupled to the actuating device 106. The PLC provides signals
to the actuating device 106 to control the movement of the holder 104 which further controls the movement the gemstone 102. The PLC signals the actuating device 106 to reciprocate the gemstone 102 in the horizontal plane, i.e. along X-axis or along Y-axis, as well as to rotate the gemstone 102 about the rotation axis. Thus, the reciprocational movement and the rotational movement of the gemstone 102 are concurrent. The reciprocating movement along with the rotational movement of the gemstone 102 enables the laser beam 110 to create multiple facets on a surface of the gemstone 102.
[0022] The PLC determines a plurality of endpoints on a surface of the gemstone
102. The plurality of endpoints is indicative of vertices of a polygon on the surface of the gemstone 102, where each side of the polygon corresponds to a side of a facet of the gemstone 102. Further, the PLC determines plurality of collinear intermediate points between each of the two adjacent endpoints of the plurality of endpoints. The intermediate points are indicative of points lying on sides or edges of the polygon. The plurality of endpoints and the intermediate points are based on the dimensions of a rough gemstone which is to be processed to obtain a finished gemstone 102, diameter of the gemstone 102, degree of the alignment of the facets, area of the facets, number of facets required on a surface of the gemstone 102, etc.

[0023] In an example implementation, information for determining the endpoints
and the intermediate points are either obtained by the PLC by imaging the rough gemstone through the imaging capturing device 120 coupled to the PLC. In another example implementation the information is provided to the PLC by an operator of the gemstone faceting system 100.
[0024] The PLC signals the actuating device 106 to move the gemstone 102 to
reciprocate the gemstone 102 in the horizontal plane and to rotate the gemstone 102
about the rotational axis simultaneously, such that the gemstone 102 has concurrent
reciprocated movement along X-axis and a rotational movement about the rotational
axis. As a result, the laser beam 110 traverses through the plurality of endpoints and
the intermediate points to obtain facets on the surface of the gemstone 102.
[0025] The actuating device 106 reciprocates the gemstone 102 along X-axis in
the horizontal plane. The actuating device 106 actuates the holder 104 to translate the gemstone 102 in a positive X-axis direction by a predetermined distance followed by a translation of the gemstone 102 in a negative X-axis direction by the predetermined distance for creating each of the facets. The predetermined distance is a difference between a distance of an endpoint of the plurality of endpoints from a centre of polygon and a distance between an intermediate point of the plurality of intermediate points closest to the centre of the polygon.
[0026] The reciprocation movement with concurrent rotational movement of the
gemstone 102 enables the laser beam 110 to traverse all the determined endpoints and the intermediate points on the surface of the gemstone 102. The laser beam 110 removes excess material from the surface of the gemstone 102 along the polygonal path defined by the endpoints and the intermediate points and create facets on the surface of the gemstone 102.
[0027] Further, the second beam orientation device 118 and the image capturing
device 120 enables the operator to observe the gemstone 102 while the gemstone 102 is mounted on the holder 104 or processed by the laser beam 110. The second beam

orientation device 118 directs a light 116, reflected from the gemstone 102 and
passing through the lens 114 and the first beam orientation device 112, towards the
image capturing device 120. The reflected light 116 may be captured by the image
capturing device 120 to generate images that may be observed by an operator to
monitor the cutting operation on the gemstone 102.
[0028] The image capturing device 120 is coupled to the PLC. The PCL
processes the image captured by the image capturing device 120 to determine the
endpoints and the intermediate points on the surface of the gemstone aligned for the
processing.
[0029] In an example implementation, the second beam orientation device 118
can be, but not limited to, a mirror, a triangular prism, a pentaprism, or the like. The
second beam orientation device 118 may reflect the light of all wavelengths. In an
example implementation, the image capturing device 120 may be, but not limited to,
a camera. In an example implementation, the image capturing device 120 may have
light filters that may filter stray lights from entering into the image capturing device
120.
[0030] In an example implementation, the holder 104 may be a chuck that may
hold the gemstone 102 for imparting the aforementioned motions to the gemstone
102.
[0031] In an example implementation, the actuating device 106 may be, but not
limited to, an electric motor.
[0032] In an example implementation, the gemstone faceting system 100 may be
implemented for creating major facets, such as, Bezel facets on the crown surface or
Pavilion facets at the pavilion surface.
[0033] In an example implementation, the gemstone faceting system 100 may be
implemented for creating minor facets, such as, star facets on the crown surface,
upper girdle facets, lower girdle facets, and facets at girdle surface.

[0034] An example procedure to create facets on a surface of the gemstone 102
by the gemstone faceting system 100 is described hereinafter. The procedure is described with reference to Figs. 2(a) to 2(e) that illustrate various stages of procedure performed by the gemstone processing system 100 for creating facets on a surface of the gemstone, in accordance with an implementation of the present subject matter.
[0035] Figs. 2(a) to 2(e) illustrates an example implementation for creating facets
on a crown portion of the gemstone 102. At first step, a rough gemstone 202 is mounted on the holder 104. As shown in Fig. 2(a), the rough gemstone 202 is indicated by dashed circular line. The finished gemstone 102 is obtained from the rough gemstone 202 by removing the additional material from the rough gemstone 202 by application of the laser beam 110. The finished gemstone 102 is shown has having an octagonal boundary 204 with solid lines. The finished gemstone 102 has smooth facets created on surfaces as a result of the processing of the rough gemstone 202 by the gemstone faceting system 100.
[0036] The holder 104 holds the rough gemstone 202 in upright position. Fig.
2(a) illustrates a top view of the rough gemstone 202 depicting an example for determining the point of application of laser beam 110 on the crown surface of the rough gemstone 202.
[0037] For example, in case a total of eight facets are to be formed on the crown
surface on the finished gemstone 102. In such a case, at second step, eight endpoints EP1 to EP8 on a periphery of the rough gemstone 202 may be determined by the PLC. The endpoints EP1 to EP8 may be understood as a number of pointed portions on the periphery of the rough gemstone 202. Further, in case of a decagonal shape, the number of endpoints would be ten. After determining the number of endpoints EP1 to EP8, a plurality of intermediate points between two consecutive endpoints may be determined. In the illustrated implementation, the plurality of intermediate points IP1 to IP9. The plurality of intermediate points may be determined by a suitable

mathematical operation. In an example, a set of nine intermediated points IP1, IP2, …IP9 may be determined between two endpoints EP1 and EP2 by the PLC. Similarly, a set of other intermediate points between EP2 and EP3, between EP3 and EP4 and so on is determined by the PLC. The endpoints EP1 to EP8 and the intermediate points IP1, IP2 …IP9 are the points of application of laser beam 110.
[0038] As shown in Fig. 2(a), the eight endpoints EP1 to EP8 and the nine
intermediate points IP1 to IP9 are for representational purpose. The number of
endpoints may vary based on the number of facets to be created on a surface of the
finished gemstone 102. Further, the number of intermediate points may vary based on
the distance between the two consecutive endpoints. The plurality of endpoints and
the plurality of intermediate points define a traversal path of the laser beam 110 over
the crown surface, such that, the laser beam 110 strikes the crown surface of the
rough gemstone 202 in a continuous sequential manner, i.e. the laser beam 110 starts
striking from a first endpoint EP1 and then moves toward another endpoint EP2,
thereafter moving towards other endpoints EP3, EP4, EP5, EP6, EP7, EP8 and return
back to EP1 to complete the process of creating the facets on the crown portion.
[0039] Further, as explained above, the focal point of the laser beam 110 is fixed.
For illustration purpose, the focal point is fixed at a distance ‘d’ on the positive X-axis. Further, the tilt axis and the rotational axis of the rough gemstone 202 are aligned parallel with Z-axis in the vertical plane, i.e. the tilt axis is aligned at angle of 0 degrees with the Z-axis. As shown in Fig. 2(a), the centre of the rough gemstone 202 indicated by a cross-mark ‘x’ is positioned at the centre of the X-Y axis, also referred to as origin. The tilt axis and the rotational axis are perpendicular to X-axis and Y-axis and passes through the centre ‘x’ of the gemstone 102.
[0040] During the facet creating process, in a third step, the laser beam 110 is
made incident on the first endpoint EP1 on the rough gemstone 202 placed on the holder 104 actuated by the actuating device 106. The holder 104 is actuated in the horizontal plane and in the vertical plane to adjust the position of the rough gemstone

202 to make laser beam 110 incident on the first endpoint EP1, such that, the endpoint EP1 is positioned a distance ‘d’ on positive X-axis. The centre ‘x’ of the gemstone 102 is at the origin. The excess material at the first endpoint EP1 is removed by the laser beam 110.
[0041] In a fourth step, the rough gemstone 202 is moved to make the laser beam
110 incident on a first intermediate point IP1, adjacent to EP1. The rough gemstone 202 is moved by the holder 104 when actuated by the actuating device 106, as shown in Fig. 2(b). For making the laser beam 110 incident on the first intermediate point IP1, the gemstone 102 is rotated about the rotational axis by an angle of rotation θ to bring the intermediate point IP1 at the positive X-axis by the holder 104. Simultaneously, or concurrently, the rough gemstone 202 is translated in the positive X-axis by a distance ‘d1’ from the origin to bring the intermediate point IP1 at the distance ‘d’ on the positive X-axis from the origin. As mentioned above, the laser beam110 has the focal point at the distance ‘d’ on the positive X-axis. Bringing the intermediate point IP1 at the distance ‘d’ on the positive X-axis, makes the laser beam 110 to removes excess material from the intermediate point IP1.
[0042] Referring to Fig. 2(b), with the translation of the rough gemstone 202 in
the positive X-axis by distance d1, the centre ‘x’ of the rough gemstone 202 shifts by distance d1 from the origin along the positive X-axis. Further, the tilt axis and the rotational axis passing through the centre ‘x’ of the rough gemstone 202 shifts along with centre ‘x’, such that, the tilt axis and the rotation axis of the rough gemstone 202 are at a distance d1 from the origin. The distance d1 is a difference between a distance of endpoint EP1 from the centre ‘x’ and a distance of intermediate point IP1 from the centre ‘x’.
[0043] Further, each of the plurality of intermediate points IP1 to IP9 are at
equidistance from each other, as can be observed in Fig. 2(b). Therefore, to bring each of the plurality of intermediate points IP1 to IP9 on the positive X-axis one after the other, the angle of rotation will always be θ at each step.

[0044] Similar to the processing of intermediate point IP1, the procedure as that
for the fourth step is repeated to make the laser beam 110 incident on the intermediate points IP2, IP3, IP4, and IP5. The rough gemstone 202 is rotated about the rotational axis successively by the angle of rotation θ and concurrently shifted in the positive X-axis to bring the intermediate points IP2, IP3, IP4, and IP5 at the positive X-axis. As shown in Fig. 2(c), the rough gemstone 202 has traversed by a distance ‘d5’ and concurrently rotated five times by the angle of rotation θ. The distance d5 is a difference between a distance of endpoint EP1 from the centre ‘x’ and a distance of intermediate point IP5 from the centre ‘x’. The centre ‘x’ has shifted by a distance ‘d5’ in the positive X-axis from the origin. The octagonal shape has endpoints at maximum distance from the centre ‘x’ of the octagon and the intermediate point IP5 being equidistant from the endpoints EP1 and EP2 and is closest to centre ‘x’ as compared to other intermediate points. Similarly, IP4 and IP6 are at distance farther than IP5. Further, IP3 and IP7 are at a distance even more farther than IP4 and IP6, respectively.
[0045] In fifth step, the rough gemstone 202 is moved to make the laser beam 110
incident on intermediate point IP6, adjacent to IP5, by the holder 104 when actuated by the actuating device 106, as shown in Fig 2(d). For making the laser beam 110 incident on the intermediate point IP6, the gemstone 102 is rotated about the rotational axis by the angle of rotation θ to bring the intermediate point IP6 at the positive X-axis by the holder 104. Simultaneously, the rough gemstone 202 is translated towards the negative X-axis, such that the center ‘x’ of the rough gemstone 202 is at a distance ‘d6’ from the origin, i.e. the initial starting position of the centre ‘x’, to bring the intermediate point IP6 at distance ‘d’ on the positive X-axis from the origin. Here, the distance d6 is a difference between a distance of endpoint EP1 from the centre ‘x’ and a distance of intermediate point IP6 from the centre ‘x’. from the origin. Bringing the intermediate point IP6 at the distance ‘d’ on the positive X-axis, makes the laser beam 110 to removes excess material from the intermediate point IP6.

[0046] The procedure as described above for the fifth step is repeated to make the
laser beam 110 incident on the intermediate points IP7, IP8, IP9, and the second endpoint EP2. Referring to Figs. 2(a)-2(e), the rough gemstone 202 has reciprocated by a distance ‘d5’ along the X-axis for creating one facet between the endpoints EP1 and EP2. The centre ‘x’ of the rough gemstone 202 has translated in the positive X-axis by the maximum distance of ‘d5’ from the origin. Thereafter, the centre ‘x’ of the rough gemstone 202 has shifted by the distance ‘d5’ towards the negative X-axis to reach back to the origin. The centre ‘x’ of the rough gemstone 202 repositions over the center of X-Y axis, i.e. the origin, after completion of the reciprocating movement which is similar to the starting point of the third step.
[0047] The procedure described above with respect to the third, the fourth, and
the fifth steps are repeated for traversing the laser beam 110 on the remaining endpoints EP2, EP3, EP4, EP5, EP6, EP7, and back to EP1 to make a complete rotation of the rough gemstone 202 about the rotational axis and to obtain facets at the crown surface of the finished gemstone 102.
[0048] For traversing the laser beam 110 from the first endpoint EP1 to the
second endpoint EP2, the rough gemstone 202 is reciprocated by the holder 104 by a maximum distance of ‘d5’ in the positive X-axis to create one facet. Similarly, the rough gemstone 202 is reciprocated eight times by the holder 104 in parallel to the rotation movement of the gemstone 102 to create eight facets on the crown surface of the rough gemstone 202.
[0049] As may be understood, facets on other surfaces, such as, the girdle surface
or the pavilion surface may also be formed in the similar manner as described with respect to Figs. 2(a) to (2(e) for crown surface. Further, based on the shape and size of the gemstone 102, the angle of tilt with respect to the z axis may vary.
[0050] Further, during the operation, the light 116 reflected by the rough
gemstone 202 may travel through the beam orientation device 112 and further reflected by the second beam orientation device 118 towards the image capturing

device 120. Images of the gemstone faceting process are generated by the image capturing device 120 capturing the reflected light 116. The generated images may be used by the operator to monitor the faceting operation.
[0051] Fig. 3 describes a method 300 for creating facets on one of crown of
surface, a girdle surface, and a pavilion surface of the gemstone 102, in accordance with an implementation of the present subject matter. At step 302, a plurality of endpoints indicating vertices of a polygon on a surface of a rough gemstone 202 is determined by the processor. Each side of the polygon corresponds to a side of a facet to be created on the finished gemstone 102 obtained by processing the rough gemstone 202.
[0052] At step 304, a plurality of collinear intermediates points between two
adjacent endpoints of the plurality of endpoints is determined by the processor. At step 306, the laser beam 110 of the laser source 108 is made incident towards a first endpoint of the plurality of endpoints on the surface of the gemstone 202 by the holder 104 holding the rough gemstone 202. The laser beam 110 removes additional material from the rough gemstone 202 at the first endpoint.
[0053] At step 308, the rough gemstone 202 is rotated about the rotational axis
and concurrently reciprocating in a horizontal plane by the actuating device 106 coupled to the holder 104. The concurrent rotational movement and the reprocational movement makes the laser beam 110 to traverse through the plurality of endpoints and the intermediate points. The laser beam 110 removes the additional material from plurality of endpoints and the intermediate points to obtain a finished gemstone 102 with the facets created on the surface of the finished gemstone 102.
[0054] Referring to step 308, the rough gemstone 202 is reciprocated by
translating the rough gemstone 202 in a positive X-axis direction in the horizontal plane by a predetermined distance followed by translating the rough gemstone 202 in a negative X-axis direction in the horizontal plane by the predetermined distance for creating each of the facets. The predetermined distance is the difference between a

distance of an endpoint of the plurality of endpoints, determined in step 302, from a
centre of the polygon and a distance between an intermediate point of the plurality of
intermediate point, determined in step 304, closest to the centre of the polygon.
[0055] In accordance with various example embodiments described above, the
gemstone faceting system 100 of the present subject matter for forming facets on the gemstone 102. The above described gemstone processing system overcomes various limitations associated with the conventionally known gemstone processing system and enables the faceting operation to be performed smoothly without lag or downtime thereby increasing the throughput of the gemstone processing system.
[0056] Although implementations for the gemstone faceting system 100 have
been described in language specific to structural features and/or methods, it would be understood that the appended claims are not necessarily limited to the specific features or methods described. Rather, the specific features and methods are disclosed as example implementations for the gemstone processing system.

I/We Claim:
1. A system (100) for creating facets on one of a crown surface, a girdle surface,
and a pavilion surface of a gemstone (102), the system (100) comprising:
a processor to:
determine a plurality of endpoints indicating vertices of a polygon on a surface of the gemstone (102), wherein each side of the polygon corresponds to a side of a facet of the gemstone (102); and
determine a plurality of collinear intermediate points between two adjacent endpoints of the plurality of endpoints on the surface; a holder (104) to:
hold and position the gemstone to make a laser beam (110) of a laser source (108) incident towards a first endpoint of the plurality of endpoints; and an actuating device (106), coupled to the processor and the holder (104), to:
rotate the gemstone about a rotational axis of the gemstone (102); and
reciprocate the gemstone (102) in a horizontal plane, such that the laser beam (110) traverses through the plurality of endpoints and the intermediate points to obtain the facets on the surface of the gemstone (102).
2. The system (100) as claimed in claim 1, wherein the actuating device (106) is to rotate and reciprocate the gemstone (102) concurrently.
3. The system (100) as claimed in claim 1, wherein the actuating device (106) is to translate the gemstone (102) in a positive X-axis direction in the horizontal plane by a predetermined distance followed by a translation of the gemstone (102) in a negative X-axis direction in the horizontal plane by the predetermined distance to reciprocate the gemstone for creating each of the facets.

4. The system (100) as claimed in claim 3, wherein the predetermined distance is a difference between a distance of an endpoint of the plurality of endpoints from a centre of polygon and a distance between an intermediate point of the plurality of intermediate point closest to the centre of the polygon.
5. A method for creating facets on one of a crown surface, a girdle surface, and a pavilion surface of a gemstone (102), the method comprising:
determining, by a processor, a plurality of endpoints indicating vertices of a polygon on a surface of the gemstone (102), wherein each side of the polygon corresponds to a side of a facet of the gemstone (102);
determining, by a processor, a plurality of collinear intermediates points between two adjacent endpoints of the plurality of endpoints on the surface;
holding and positioning, by the holder (104), the gemstone (102) to make a laser beam (110) of a laser source (108) incident towards a first endpoint of the plurality of endpoints on the surface; and
rotating, by an actuating device (106) coupled to the processor and the holder (104), the gemstone (102) about a rotational axis of the gemstone (102); and
reciprocating, by the actuating device (106), the gemstone (102) in a horizontal plane, such that the laser beam (110) traverses through the plurality of endpoints and the intermediate points to obtain the facets on the surface of the gemstone (102).
6. The method as claimed in claim 5, wherein the rotation of the gemstone (102) and the reciprocation of the gemstone (102) are concurrent.
7. The method as claimed in claim 5, wherein the reciprocating the gemstone (102) in the horizontal plane comprises translating the gemstone (102) in a positive X-axis direction in the horizontal plane by a predetermined distance followed by

translating the gemstone (102) in a negative X-axis direction in the horizontal plane by the predetermined distance for creating each of the facets.
8. The method as claimed in claim 7, wherein the predetermined distance is the
difference between a distance of an endpoint of the plurality of endpoints from a centre of the polygon and a distance between an intermediate point of the plurality of intermediate point closest to the centre of the polygon.