Asked 30th Jul, 2023

Is it possible to create a random 2- dimensional shape using mathematical equations Or in software like 3D-max and AutoCAD?

Is it possible to create a random 2- dimensional shape using mathematical equations Or in software like 3D-max and AutoCAD? like this one:

All Answers (3)

Omid Vakili
University of Kurdistan
Yes, it is definitely possible to create a random 2-dimensional shape using mathematical equations or software like 3D Max and AutoCAD.
Using Mathematical Equations:
  1. Parametric Equations: You can create a random shape by defining parametric equations that determine the x and y coordinates of points on the shape. For example, you could use sine and cosine functions with random parameters to create smooth curves, or use random step functions to create jagged shapes.
  2. Random Point Generation: Generate random points within a defined boundary and then use interpolation or smoothing techniques to connect these points to form a shape.
  3. Fractal Geometry: You can use fractal algorithms to generate intricate and complex shapes. For example, the Mandelbrot set is a famous example of a fractal shape.
Using 2D Software (e.g., 3D Max and AutoCAD):
  1. Drawing Tools: Most 2D software packages provide various drawing tools that allow you to create shapes freehand, which you can then modify and transform to make them appear random.
  2. Random Transformations: Apply random transformations like scaling, rotation, and translation to basic shapes like circles, squares, or polygons. Repeatedly applying random transformations can lead to more complex and organic shapes.
  3. Noise Functions: Use noise functions to displace points on a shape, giving it a random and irregular appearance.
  4. Procedural Texture Mapping: Create a texture that is procedurally generated using noise patterns or other algorithms, and then apply it to a simple shape. This can give the appearance of a complex and random pattern on the shape.
In both cases, the randomness can be controlled to various extents, allowing you to fine-tune the level of randomness or repeatability of the generated shapes.
Keep in mind that while the shapes may appear random, they are still generated by deterministic algorithms or equations. For truly unpredictable shapes, you might want to explore generative adversarial networks (GANs) or other advanced machine learning techniques, but that goes beyond the scope of traditional mathematical equations and standard 2D software.
2 Recommendations
Usama Badawy
Technische Universität Berlin
Dear Mr. Shabani,
Why not when there are more and more avenues available?
just as Mr. Omid stated using mathematical equations.
1 Recommendation
Kevin Barrera Llanga
Universitat Politècnica de Catalunya
Yes, it is feasible to create a random two-dimensional shape using specialized tools. If you are interested in finding a method to generate a similar shape randomly, I would recommend exploring innovative models like Stable Diffusion XL, which has been released recently. Using platforms like Google Colab, this model can be customized to craft a similar image, based on a clearly defined prompt. If the idea is to design a deep learning model, there is a variety of alternatives that can be explored, including but not limited to Generative Adversarial Networks (GAN), Variational Autoencoders, and other methods grounded in deep learning.
From my personal experience, I designed a model that operates in two stages and is based on GANs. In the initial stage, I approximate random numbers with the help of the Wasserstein metric, to approximate the distribution of random data (origin) to the distribution of peripheral blood cells, thus producing a low-resolution image. The second stage applies the generative concept of GAN in an image-to-image approach. This approach enables me to bring the data distribution closer between one image and another, thereby improving its quality. To achieve this, I make use of the Pix2Pix technique, which allows a precise conversion of the characteristics of one image into another, maintaining some attributes while altering others. If you are intrigued to know more about this project, I invite you to read the publication where I detail the work carried out:
1 Recommendation

Similar questions and discussions

What are the possibilities of using generative AI in conducting sentiment analysis of Internet users' opinions on specific topics?
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  • Dariusz ProkopowiczDariusz Prokopowicz
What are the possibilities of applying generative AI in terms of conducting sentiment analysis of changes in Internet users' opinions on specific topics?
What are the possibilities of applying generative artificial intelligence in carrying out sentiment analysis on changes in the opinions of Internet users on specific topics using Big Data Analytics and other technologies typical of Industry 4.0/5.0?
Nowadays, Internet marketing is developing rapidly, including viral Internet marketing used on social media sites, among others, in the form of, for example, Real-Time marketing in the formula of viral marketing. It is also marketing aimed at precisely defined groups, audience segments, potential customers of a specific advertised product and/or service offering. In terms of improving Internet marketing, new ICT information technologies and Industry 4.0/5.0 are being implemented. Marketing conducted in this form is usually preceded by market research conducted using, among other things, sentiment analysis of the preferences of potential consumers based on verification of their activity on the Internet, taking into account comments written on various websites, Internet forums, blogs, posts written on social media. In recent years, the importance of the aforementioned sentiment analysis carried out on large data sets using Big Data Analytics has been growing, thanks to which it is possible to study the psychological aspects of the phenomena of changes in the trends of certain processes in the markets for products, services, factor markets and financial markets. The development of the aforementioned analytics makes it possible to study the determinants of specific phenomena occurring in the markets caused by changes in consumer or investor preferences, caused by specific changes in the behavior of consumers in product and service markets, entrepreneurs in factor markets or investors in money and capital markets, including securities markets. The results from these analyses are used to forecast changes in the behavior of consumers, entrepreneurs and investors that will occur in the following months and quarters. In addition to this, sentiment analyses are also conducted to determine the preferences, awareness of potential customers, consumers in terms of recognition of the company's brand, its offerings, description of certain products and services, etc., using textual data derived from comments, entries, posts, etc. posted by Internet users, including social media users on a wide variety of websites. The knowledge gained in this way can be useful for companies to plan marketing strategies, to change the product and service offerings produced, to select or change specific distribution channels, after-sales services, etc. This is now a rapidly developing field of research and the possibilities for many companies and enterprises to use the results of this research in marketing activities, but not only in marketing. Recently, opportunities are emerging to apply generative artificial intelligence and other Industry 4.0/5.0 technologies to analyze large data sets collected on Big Data Analytics platforms. In connection with the development of intelligent chatbots available on the Internet, recently there have been discussions about the possibilities of potential applications of generative artificial intelligence, 5G and other technologies included in the Industry 4.0/5.0 group in the context of using the information resources of the Internet to collect data on citizens, companies, institutions, etc. for their analysis carried out using, among other things, sentiment analysis to determine the opinion of Internet users on certain topics or to define the brand recognition of a company, the evaluation of product or service offerings by Internet users. In recent years, the scope of applications of Big Data technology and Data Science analytics, Data Analytics in economics, finance and management of organizations, including enterprises, financial and public institutions is increasing. Accordingly, the implementation of analytical instruments of advanced processing of large data sets in enterprises, financial and public institutions, i.e. the construction of Big Data Analytics platforms to support organizational management processes in various aspects of operations, including the improvement of customer relations, is also growing in importance. In recent years, ICT information technologies, Industry 4.0/5.0 including generative artificial intelligence technologies are particularly rapidly developing and finding application in knowledge-based economies. These technologies are used in scientific research and business applications in commercially operating enterprises and in financial and public institutions. In recent years, the application of generative artificial intelligence technologies for collecting and multi-criteria analysis of Internet data can significantly contribute to the improvement of sentiment analysis of Internet users' opinions and the possibility of expanding the applications of research techniques carried out on analytical platforms of Business Intelligence, Big Data Analytics, Data Science and other research techniques using ICT information technology, Internet and advanced data processing typical Industry 4. 0/5.0. Most consumers of online information services available on new online media, including social media portals, are not fully aware of the level of risk of sharing information about themselves on these portals and the use of this data by technological online companies using this data for their analytics. I am conducting research on this issue. I have included the conclusions of my research in scientific publications, which are available on Research Gate. I invite you to cooperate with me.
In view of the above, I address the following question to the esteemed community of scientists and researchers:
What are the possibilities for the application of generative AI in terms of conducting sentiment analysis of changes in the opinions of Internet users on specific topics using Big Data Analytics and other technologies typical of Industry 4.0/5.0?
What are the possibilities of using generative AI in conducting sentiment analysis of Internet users' opinions on specific topics?
And what is your opinion on this topic?
What is your opinion on this issue?
Please answer,
I invite everyone to join the discussion,
Thank you very much,
Best wishes,
Dariusz Prokopowicz
The above text is entirely my own work written by me on the basis of my research.
In writing this text I did not use other sources or automatic text generation systems.
Dariusz Prokopowicz

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