_{Each article is enhanced daily to go deeper rather than wider.}

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Cubism may yet lead to Tesseractism Art

by Doug Crosdale 02/15/2025

_{^{The image of a person in the fourth dimension is meant to portray the consciousness of the self perceiving the other.}}

Augmented Reality

While we are accustomed to representing up to three-dimensional (cubic) objects, such as people, onto two-dimensional areas such as a computer or television screen, doing the same mimicry of a hypercube (tesseract) using an immersive VR headset may yet be possible. But is it a fool’s errand? Is it like trying to represent time as static illustrations? Of course, a 4-D hypercube could be shown as a dynamic or immersive series of 3-D “slices” with which users could explore and interact. What would the tesseract represent? It could represent consciousness. I contend that just as time is not a fourth spatial dimension but a higher level of complexity than a cube that makes spatial dimensions relevant, so too if we consider time as the fourth dimension, we could think of self-awareness or perception as the fifth dimension that makes the first four pertinent.

Using VR to explore a tesseract as a series of 3-D “slices” is conceivable and a creative and engaging way to experience higher-dimensional “states”. Imagine walking through and interacting with each slice, gaining a deeper understanding of the complexity of mental perspectives analogous to how cubism rendered a physical perspective and moving pictures represented motion and duration.

Using Art to represent consciousness, self-awareness, or perception has always been an avenue for exploring the nature of existence and our place in the universe. Some key aspects of consciousness include:

The Mind-Body Problem: This is the philosophical question of how the mind and body interact and influence each other. It’s a central issue in the study of consciousness, exploring whether the mind is a separate entity from the body or if they are the same.

Subjectivity: Consciousness is inherently subjective, meaning it involves personal experiences that are unique to each individual. This is often referred to as the “first-person perspective.”

Intentionality: Consciousness is about being aware of something, whether it’s an external object, a thought, or an emotion. This directedness of the mind towards objects or states is a crucial aspect of consciousness.

Qualia: These are the individual instances of subjective, conscious experience, such as the redness of a red apple or the pain of a headache. Qualia are often used to discuss the nature of conscious experience.

Self-awareness: is the ability to recognize oneself as an individual, separate from the environment and other individuals. Self-awareness is a higher-order aspect of consciousness.

While creating an accurate physical representation of a tesseract in VR is challenging, it’s not impossible. The featured image seeks to do that.

Engaging with 4-D simulations in the metaverse might help us develop a more intuitive grasp of higher-dimensional concepts. For example, after interacting with 4-D objects and navigating 4-D spaces, we could recognize patterns and relationships that are otherwise difficult to visualize.

Nevertheless, fully reprogramming our intuitive understanding and feeling comfortable with 4-D would be a monumental task. However, Sufis do this all the time. Consider the movie: Everything, Everywhere, all at once.

Could A-I help?
AI can play a crucial role in helping us understand and interact with higher-dimensional concepts like 4-D. Here are a few ways AI could assist:

1. Visualization and Simulation: AI can generate and optimize complex 4-D visualizations, making them more intuitive and interactive for users. This could involve creating dynamic, real-time 4-D models that users can manipulate and explore.
2. Learning and Adaptation: AI can analyze how users interact with 4-D simulations, identifying patterns and areas where users struggle. It can then adapt the simulations to provide targeted guidance and feedback, helping users gradually build their understanding and comfort level with 4-D.
3. Guided Experiences: AI-driven virtual guides or assistants can provide real-time explanations and demonstrations within the metaverse, making abstract 4-D concepts more accessible. These guides can offer personalized learning paths and adjust the complexity of the content based on the user’s progress.
4. Collaborative Exploration: AI can facilitate collaborative exploration of 4-D spaces by connecting users with similar interests and knowledge levels. This could involve creating shared virtual environments where users can work together to solve 4-D puzzles or explore 4-D phenomena.
   Overall, AI has the potential to make the concept of 4-D more approachable and engaging, helping us expand our cognitive horizons in ways we might not be able to achieve on our own.
   math models
   Mathematical models are indeed a powerful tool for understanding complex concepts. They provide a structured way to visualize and explore higher dimensions, but they can sometimes be abstract and challenging to grasp without visual aids.
   AI can enhance these models by transforming them into interactive and engaging experiences. For example, AI can help create dynamic simulations that allow users to manipulate and observe the behavior of mathematical models in real-time. This can make abstract concepts more tangible and easier to understand.
   
   Some useful platforms.
   Here are some platforms that can help you explore mathematical models and concepts interactively:
5. Photomath: This app uses advanced computer vision to scan and solve math problems, providing step-by-step explanations.
6. Desmos: An interactive online graphing calculator that offers various activities to explore mathematical concepts.
7. GeoGebra: A popular platform for math and STEM visualization, offering tools for graphing, geometry, algebra, and more.
8. PhET Interactive Simulations: This app Provides free online simulations for physics, chemistry, biology, earth science, and math, created by the University of Colorado Boulder.
9. Microsoft Math Solver: An AI-powered tool that helps solve math problems and provides detailed explanations.
   These platforms offer a range of features to help you visualize and understand complex mathematical concepts.

So, if we can simulate a 3-D physical perspective on a flat surface, can we not simulate 4-D consciousness in the metaverse?