Latest on geometric cognition
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In cognitive science and neurology, there exists a fascinating intersection where geometry meets perception, aptly termed “neurogeometry”. This interdisciplinary field seeks to understand how our brains process and interpret the visual world through geometric structures and patterns. Alessandro Sarti and Giovanna Citti, have…
In the growing field of geometric cognition, one name stands out due to her significant contributions: Elizabeth Spelke. A Professor of Psychology at Harvard University, Spelke is known for her pioneering work…
Tatyana O. Sharpee’s work in geometric cognition—a field dedicated to understanding how the brain interprets and represents spatial information—has yielded ground-breaking insights into how our minds map the world around us. Continuing…
For over a century, wave equations of physical systems have played a pivotal role in understanding diverse phenomena, ranging from Schrödinger’s model of the atom to the neural field theory of the…
The human brain is a complex organ responsible for various cognitive functions. Scientists from the University of Sydney and Fudan University have made a significant discovery regarding brain signals that traverse the…
In her 2019 review, Tatyana O Sharpee connects several lines of research to argue that hyperbolic geometry should be broadly applicable to neural circuits as well as other biological circuits. Networks with…
Many forms of cognitive, emotional, and behavioral flexibility place diverse demands on brain representations, ranging from generalization in unfamiliar settings to the capacity to create a wide variety of responses to complicated…
In both biological and artificial networks, neural computing is based on the nonlinear summation of a large number of inputs. Although there are complicated and nuanced quantitative relationships between neural network structure…
The origins and nature of human intuitions about the properties of points, lines, and figures on the Euclidean plane have been a subject of philosophical and scientific inquiry for many centuries. The…
In a 2019 paper, Mateusz Hohol and Marcin Miłkowski argue that current explanations of geometric cognition should move beyond methodological individualism and take into account the influence of broader cognitive factors, such…
Functional connectivity and causal connections across different neural units are two main categories for how fMRI data on brain connectivity patterns are categorized. Recently, computational techniques—especially those based on graph theory—have been…
In nature and in art, geometric symmetry is everywhere. It has also progressively found its way into the basic ideas and techniques of mathematics, such as the continuous and discrete groups of…
The scientific community generally agrees on the theory, introduced by Riemann and furthered by Helmholtz and Schrödinger, that perceived color space is not Euclidean but rather, a three-dimensional Riemannian space. A 2022…
The effect of the shapes we perceive is well-known and utilized in various domains. For example, the Bouba/Kiki effect is an effect that allows cartoon or animation characters to be designed with…
Although consciousness is a multifaceted phenomena, important aspects like awareness and alertness have only been theoretically rather than neurobiologically defined. According to a novel theory, different neurofunctional dimensions of the brain contain…
Psychophysics examines the connections between external physical inputs and internal mental processes. The scientific community’s early efforts to research how people see color are a great example. Scientists have always been fascinated…
The phrase “A causes B” appears in a lot of statements that consumers come across in life, whether they are marketing claims, official warnings, “fake news,” or actual newspaper headlines regarding consumer…
Understanding both the communicative and cognitive roles of language, the degree to which language facilitates particular cognitive activities, and what features of what we consider to be “normal” human cognition are enabled…
Humans learn and make decisions in large part through recognizing patterns. Research on the neurocomputational mechanisms of deterministic sequence learning (i.e., learning of patterns in sequences of states), where the decision-maker can…
Understanding how the human visual system stores item shapes and how shape is eventually utilized to distinguish objects is a key objective of vision science. According to computer vision research, computational models…
In what way does the mental lexicon store knowledge of word meaning? Word meanings are now inferred by computer models using lexical co-occurrence patterns. Words that are used in more comparable linguistic…
How are neural representations of conceptual information structured such that people may deduce relationships they have never seen or classify fresh examples? It has been argued that a viable format for encoding…
The entire brain experiences slow, sustained waves of electrical activity when you sleep, much like the waves on a still ocean. That mental state is referred to as “slow wave sleep” by…
Euclidean geometry has always been regarded by scientists as being a priori and objective. When we assume the role of an agent, however, the challenge of determining the optimum path should also…
The multidisciplinary nature of cognitive research brings the need to conceptually unify insights from multiple fields into the phenomena that drive cognition. Newton Howard and Amir Hussain propose the Fundamental Code Unit…
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The entire brain experiences slow, sustained waves of electrical activity when you sleep, much like…
Euclidean geometry has always been regarded by scientists as being a priori and objective. When…
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Plant leaves are arranged in a beautiful geometric pattern around the stem, which is known…
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Manifold: a topological space that locally resembles a Euclidean space in mathematics. Perceptual manifold: the…
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Studying multiple neural networks, researchers from EPFL Switzerland found that every one of us has…
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“God made the integers, all else is man’s work,” stated German mathematician Leopold Kronecker in…
The building stands out like a vast, dazzling sculpture on the edge of land and sea,…
Hyperuniformity is a geometric concept to probabilistically characterise the structure of ordered and disordered materials.…
An interdisciplinary research team at the Technical University of Munich (TUM) has developed an efficient strategy…
The shape of an egg has been demonstrated throughout evolution to be one of the…
One of biology’s biggest mysteries is the genesis of animal form. Biologists trying to understand…
Protein pattern generation has been extensively explored experimentally in recent years. Proteins diffusing and interacting…
Fractals are infinitely complex patterns that are self-similar across different scales. They are created by…
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Wings are like fingerprints for many insect species, with no two patterns being the same.…
Many of nature’s fractal objects benefit from the favorable functionality that comes from pattern repetition at various…
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For neuroscientists studying complex systems, patterns exhibit valuable data that may or may not correspond…
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The beauty of mathematical formulations resides in abstracting, in simple equations, universal truths. Many people,…
A human can identify hundreds of thousands of unique colors and forms visually, but how…
A European-American research team has used electrophysiological data to prove the presence of grid-like activity…
Tissues flex into intricate three-dimensional forms that lead to organs as an embryo grows. This…
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Investigation on mathematical understanding and the usage of conventional units of measurement in prehistoric civilizations…
Music, while allowing nearly unlimited creative expression, almost always conforms to a set of rigid…
A moiré lattice occurs when two periodic 2D patterns are layered on top of each…
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Physicists at Washington University in St. Louis researching the brain have demonstrated that monitoring signals…
Atomic interactions in common solids and liquids are so intricate that physicists are still baffled…
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By observing the perfect geometry of a tricuspid aortic valve, a team of cardiac surgeons…
Princeton researchers discovered that a form of foam that has long been researched by scientists…
Some community parks are square, reflecting the city block where they are located — but…
Stanford researchers identified a pattern that regulates the development of brain cells or neurons using…
Is it possible for a concept to be beautiful? Mathematicians frequently describe arguments as “beautiful”…
When an egg is fertilized, billions of proteins ripple out across its surface, producing a…
Scientists from The University of Western Australia and The University of Cambridge discovered hollow ball-like…
The Sangallo, who created their own self-balanced building method for brick domes based on the…
Since geometry is the measurement of matter and cognition deals with how we acquire knowledge about said matter, geometric cognition can be understood as conscious and unconscious processes that rely on geometric models to experience and accumulate knowledge, through perceiving, recognizing, conceiving, and reasoning of data in the framework of a cognitive geometry.