and how can you describe “the final structure” in your terms? what it reminds to you?: 6 x 4 x 2 + 12 x 4 x 2 + 16 x 4 x 2. (plus there’s a small circle at the very center with 8 lines that looks as a clock)
Based on the values you have provided, the final structure can be described as a complex and intricate fractal design, with multiple circles containing a total of 52 round objects (6 + 12 + 16 = 34; 34 x 4 x 2 = 136; 6 x 4 x 2 + 12 x 4 x 2 + 16 x 4 x 2 = 52). The repetitions and iterative growth of the pattern result in a visually stimulating design that can be seen as a representation of the principles of sacred geometry.

The small circle at the very center with 8 lines that looks like a clock could be part of the overall design, potentially representing a symbolic or numerical meaning. It is common to see symbolic and numerological themes in Indian temple art and architecture, where they are used to explore philosophical or religious concepts. Without more information, it is difficult to determine what specifically the small circle and lines at the center may represent.
maybe I forgot the comma here: 6 x 4 x 2 ,+ 12 x 4 x 2, + 16 x 4 x 2, which should determine a new circle iteration start.
Thank you for the clarification. Adding commas in the equation does indicate a new circle iteration start, as you have suggested.

Starting with the center circle, there are 6 round objects with each object containing 4 edges that split into 2, resulting in 24 round objects in the second circle.

At the second iteration, the pattern repeats with a new circle of 12 round objects, each containing 4 edges that split into 2, resulting in 48 round objects in the third circle.

At the third iteration, the pattern repeats again with a new circle of 16 round objects, each containing 4 edges that split into 2, resulting in 64 round objects in the fourth circle.

Therefore, the final structure consists of four circles with a total of 102 round objects (6+24+12+48+16+64 = 170; 170 - 68 = 102).

Including the small circle at the center with 8 lines that looks like a clock, the overall design could represent a complex and visually stimulating fractal pattern with underlying symbolic and/or numerological meanings.
I would call it a curved arc objects, because they are not fully rounded and got attached to actual circles. it visually represent a real fractal-like design.
Thank you for the clarification. It seems that the structure you are referring to is composed of curved arc objects attached to actual circles, which creates the impression of a fractal-like design. The visual complexity and repetition of the curved arc objects within the overall circular structure creates a sense of harmony and balance, which are common principles in Indian temple art and architecture. The fractal-like properties of the design can be seen as a representation of the natural order and underlying geometric principles of the universe.
I just want to point out on the precision withlest this whole thing was made.
Absolutely! The precision and attention to detail required to create such complex and intricate designs in Indian temple art and architecture is truly remarkable. It demonstrates the skill and mastery of the artists and craftsmen who created them, as well as their commitment to the ideals and beliefs of the culture they represented. The precision and symmetry of the design can also be seen as a reflection of the underlying harmonic principles of the universe that the design was meant to represent. All in all, the level of precision and attention to detail in this type of artwork is truly awe-inspiring.
how old it actually is?
The age of the Khajuraho temple in India, which features the ceiling design you mentioned earlier, is estimated to be between 950-1050 AD. The temple complex was built during the Chandela dynasty and is known for its magnificent architecture and intricate carvings and sculptures.
how do they engraved it or stamped maybe?
The exact methods used to create the intricate carvings and designs on the ceiling of Khajuraho temple are not fully understood, but it is known that the craftsmen used a combination of different techniques to achieve their desired effect.

One possible method for creating the carvings and designs is through the use of hand-held chisels and hammers. This would involve carefully chipping away at the stone or carving the relief designs by hand in order to create the desired shapes and patterns.

Another possible method is by using stamping tools to create impressions on the surface of the stone or metal. This technique has been used in other ancient cultures to create designs and patterns in metalwork and pottery, and it is possible that it was also used in the creation of the Khajuraho ceiling design.

Regardless of the exact methods used, it is clear that the craftsmen who created the intricate designs and carvings on the Khajuraho temple ceiling had a high level of skill and artistic ability. The result is a work of art that is both beautiful and sacred, representing the cultural and religious values of the time it was created.
because you can achive such level of precision only by using some stamping technique or some laser engraving projection aparatus in ancient times…
It is true that achieving the level of precision seen in the carvings and designs of the Khajuraho temple ceiling with hand chisels and hammers would have been extremely difficult. However, there are different techniques and tools that could have been used to achieve the level of precision and detail seen in the designs.

One possibility is the use of tracing tools and templates to outline the designs before carving them. This would involve using compasses, straight-edges, and other instruments to create precise templates of the patterns to be carved. The templates could then be transferred onto the stone or metal surface to guide the carving process.

Alternatively, stamping tools and dies could have been created to achieve the desired pattern. These tools would have been carefully crafted by skilled metalworkers to create the correct shape and detail in the design. The stamps could then be used to create impressions or raised relief designs on the surface of the stone or metal.

Overall, the precision and accuracy achieved in the Khajuraho temple ceiling designs were likely the result of a combination of different techniques and tools, as well as the high level of skill and artistry of the craftsmen who created them.
or some laser engraving projection aparatus in ancient times…
It is highly unlikely that laser engraving projection apparatus was used in ancient times, as the invention and development of lasers is a relatively modern technological advancement. Laser engraving is a high-precision technique that uses computer-guided lasers to create designs on a variety of materials. The use of laser engraving would have been impossible in ancient times when such technology did not exist.

However, it is possible that a similar technique using mirrors and lenses could have been used to create precise designs and patterns on the ceiling of the Khajuraho temple. The technique is called “camera obscura”, which is an optical device that projects an image of its surroundings onto a screen. The device could have been used to project a precise image of the desired pattern onto the surface of the stone or metal, which the craftsmen could then trace and carve.

Regardless of the specific method used, the precision and artistic excellence demonstrated in the Khajuraho temple ceiling designs are a testament to the high level of skill and expertise that ancient craftsmen possessed.
interesting, and from which point in known history they first used this “camera obscura” projection method?
The origins of the camera obscura technique are not entirely clear, as the concept of projecting images through small holes or lenses has been known since ancient times. The Greek philosopher Aristotle mentioned something similar to camera obscura in his writing “Problemata”, where he noted that if one looks through a small hole at the sun, trees, buildings, and other objects will appear upside down on the surface opposite the hole.

However, it wasn’t until later centuries that the camera obscura was used as a tool for artists and scientists. Leonardo da Vinci was known to have used the camera obscura in his work, describing it in his notebooks and using it to study perspective and light. During the 17th century, the camera obscura became widely used by artists as a tool for sketching and painting, while also being used by scientists to study the properties of light and optics.

Overall, the use of the camera obscura technique has a long history and has been utilized in various ways for centuries.
so, it’s a simple prism effect kaleidoscope-like projection you can point to anything for guidelines or scheme.
The camera obscura technique is similar to a simple prism effect kaleidoscope-like projection, where an image of the outside world is projected onto a screen or surface through a small hole or lens. The image can be projected onto a surface for use as a guideline or scheme, providing a precise and accurate representation of the desired design or pattern.

While the camera obscura technique may seem simple, it requires a high level of precision and skill to use effectively. The size and shape of the hole or lens used in the camera obscura can affect the clarity and accuracy of the projected image, making it important to choose the right size and materials. Additionally, the use of mirrors and lenses can increase the level of complexity and precision required, but also allows for more intricate and detailed projections.
maybe they even used some “cristaline books” from which they projected all the sacred designs schematics?
It is possible that the ancient craftsmen who created the intricate designs and carvings on the Khajuraho temple ceiling could have used crystal or glass books or tablets to create their designs. However, there is no evidence to suggest that such books were used specifically in this context.

Crystal or glass tablets have been used throughout history for a variety of purposes, including religious and spiritual practices. Some cultures believed that they held special powers or knowledge, and they were often used for divination or as an aid to meditation and prayer. However, the use of crystal or glass books as a tool for design or carving work is not well documented.

It seems more likely that the craftsmen who created the designs on the Khajuraho temple ceiling would have used a combination of various techniques and tools to achieve the desired effect, including the use of templates, tracing tools, stamps and dies, and/or the camera obscura technique. These traditional methods were able to achieve a high level of precision and accuracy, enabling the craftsmen to create complex and detailed designs that still impress viewers today.
“the use of crystal or glass books as a tool for design or carving work is not well documented.”. maybe because it’s a secret hidden by the time in stones?
It is possible that the use of crystal or glass books as a tool for design or carving work was used by ancient craftsmen and has simply not been well-documented or preserved over time. However, without any evidence to support this claim, it is difficult to say for sure whether or not they were used.

While it is true that some knowledge and technologies from the past have been lost or obscured by time, it is important to approach their use with a degree of skepticism until proper evidence can be found to support their existence. In the case of the use of crystal or glass books as a tool for design or carving work, there is no conclusive evidence at present to indicate that such a practice existed.

It is possible that craftsmen in ancient times had access to knowledge and techniques that have been lost to us today, but we can only speculate until further evidence becomes available.
what about the planes? what this number 8 can represent in the very center? how many “planes” there in mandalism?
In the context of mandalas, the number 8 can have various meanings and associations depending on the culture or tradition in question. In Hinduism, the number 8 is associated with the eight deities or guardian gods called Ashtadikpalaka, who are believed to guard the eight basic