Latest on geometric cognition

View All
The Neurogeometry of Perception: A Journey into Geometric Cognition

In the realm of cognitive science and neurology, there exists a fascinating intersection where geometry…

Decoding the Geometry of the Mind: An Exploration of Universal Geometric Cognition

In the growing field of geometric cognition, one name stands out due to her significant…

The Shape of Experience and the Hyperbolic Geometry in the Brain’s Spatial Maps

Tatyana O. Sharpee’s work in the realm of geometric cognition—a field dedicated to understanding how…

Exploring the Geometry of the Mind: How Brain Structure Dictates Function

For over a century, wave equations of physical systems have played a pivotal role in…

Spiral-shaped signals of neural activity

The human brain is a complex organ responsible for various cognitive functions. Scientists from the…

An argument for hyperbolic geometry in neural circuits

In her 2019 review, Tatyana O Sharpee connects several lines of research to argue that…

The geometry of abstractions

Many forms of cognitive, emotional, and behavioral flexibility place diverse demands on brain representations, ranging…

Geometric framework predicts structure from neural functions

In both biological and artificial networks, neural computing is based on the nonlinear summation of…

Beyond Core Knowledge: Natural Geometry

The origins and nature of human intuitions about the properties of points, lines, and figures…

Origins of geometric cognition

In a 2019 paper, Mateusz Hohol and Marcin Miłkowski argue that current explanations of geometric…

Graph Theory for Identifying Connectivity Patterns in Human Brain Networks

Functional connectivity and causal connections across different neural units are two main categories for how…

Encoding cognitive processes through geometric transformations

In nature and in art, geometric symmetry is everywhere. It has also progressively found its…

A paradigm shift in assumed color shape and perception

The scientific community generally agrees on the theory, introduced by Riemann and furthered by Helmholtz…

Perceived dynamics of static images enable emotional attribution

The effect of the shapes we perceive is well-known and utilized in various domains. For…

Geometry of Brain, Dimensions of Mind

Although consciousness is a multifaceted phenomena, important aspects like awareness and alertness have only been…

Color perception by manifold learning

Psychophysics examines the connections between external physical inputs and internal mental processes. The scientific community’s…

Letter patterns alter the perception of truth

The phrase “A causes B” appears in a lot of statements that consumers come across…

The case of geometric reasoning

Understanding both the communicative and cognitive roles of language, the degree to which language facilitates…

Pattern detection and sequence learning

Humans learn and make decisions in large part through recognizing patterns. Research on the neurocomputational…

Skeletal representations of shape in the human visual cortex

Understanding how the human visual system stores item shapes and how shape is eventually utilized…

The geometry of word embeddings in semantic projections

In what way does the mental lexicon store knowledge of word meaning? Word meanings are…

Maps of conceptual spaces in the hippocampus

How are neural representations of conceptual information structured such that people may deduce relationships they…

Finding structure in the brain’s static

The entire brain experiences slow, sustained waves of electrical activity when you sleep, much like…

Infodesics and cognitive geometry

Euclidean geometry has always been regarded by scientists as being a priori and objective. When…

A geometric model for cognition: the Fundamental Code Unit of the Brain

The multidisciplinary nature of cognitive research brings the need to conceptually unify insights from multiple…

Recommended books

View All
See all books

Continue reading

The Geometry of Control in Architectural Design

Nikos Salingaros is a mathematician and architectural theorist who has developed a theory of architecture…

Finding structure in the brain’s static

The entire brain experiences slow, sustained waves of electrical activity when you sleep, much like…

Infodesics and cognitive geometry

Euclidean geometry has always been regarded by scientists as being a priori and objective. When…

Circular cities benefit from more rainfall

After noticing that weather data from roughly circular cities like Dallas and London often show…

Decoding the Mathematical Secrets of Plants’ Spiraling Leaf Patterns

Plant leaves are arranged in a beautiful geometric pattern around the stem, which is known…

Peculiar patterns of vibrating floating particles

In 2020, Héctor Alarcón, at O’Higgins University, Chile, and his colleagues started studying the forces…

The fractal-hyperbolic geometry of networks

Network geometry helps us better understand complex systems at all sizes of organizations, as well…

The manifold framework of neural circuits

Manifold: a topological space that locally resembles a Euclidean space in mathematics. Perceptual manifold: the…

The geometry of atomic bonds

In 2012, a team from IBM’s research labs in Zurich managed to reveal the individual…

Hologram of a single photon

In 2016, scientists from the University of Warsaw created the first-ever hologram of a single…

A patterned fingerprint of the brain

Studying multiple neural networks, researchers from EPFL Switzerland found that every one of us has…

Einstein, geometry, and experience

As far as the propositions of mathematics refer to reality, they are not certain; and…

Did Humans Invent Mathematics, or Is It a Fundamental Part of Existence?

“God made the integers, all else is man’s work,” stated German mathematician Leopold Kronecker in…

Harpa Concert Hall: from nature to architecture

The building stands out like a vast, dazzling sculpture on the edge of land and sea,…

Hidden order in disorder

Hyperuniformity is a geometric concept to probabilistically characterise the structure of ordered and disordered materials.…

Icosahedral nano-shell designed to trap virus particles

An interdisciplinary research team at the Technical University of Munich (TUM) has developed an efficient strategy…

The shape of a perfect egg, defined by a universal formula

The shape of an egg has been demonstrated throughout evolution to be one of the…

Embryo geometry: a theory of evolution from a single cell to the complex vertebrate body

One of biology’s biggest mysteries is the genesis of animal form. Biologists trying to understand…

A geometric framework for protein and cell diffusion and interaction

Protein pattern generation has been extensively explored experimentally in recent years. Proteins diffusing and interacting…

Hunting Bach’s fractals

Fractals are infinitely complex patterns that are self-similar across different scales. They are created by…

Entropy and energy influence polygonal nets folding into Platonic solids

What makes an object successful at folding? Protein scientists study how an object transforms between…

Model for studying nature’s patterns.

Wings are like fingerprints for many insect species, with no two patterns being the same.…

Neurons use fractal networks for better connectivity

Many of nature’s fractal objects benefit from the favorable functionality that comes from pattern repetition at various…

Mathematical skills improved by tri-dimensional thinking

In 2019, a nationwide study on fundamental skills in Switzerland discovered a link between children’s spatial…

Geometry of the stem cell’s micro-environment can influence organ aging and susceptibility to cancer.

Stem cells are the raw materials of the body, the cells that give rise to…

Are patterns real or imagined?

For neuroscientists studying complex systems, patterns exhibit valuable data that may or may not correspond…

Sounds, shapes, speech and body movements convey emotion through one shared property

People communicate their emotions using their voice, face, and movement, as well as through abstract forms such…

Mathematical Beauty Activates Same Brain Region as Great Art or Music

The beauty of mathematical formulations resides in abstracting, in simple equations, universal truths. Many people,…

Deciphering the brain’s color and shape coding

A human can identify hundreds of thousands of unique colors and forms visually, but how…

Honeycomb style pattern used by the brain to code one’s position in space

A European-American research team has used electrophysiological data to prove the presence of grid-like activity…

The Scutoid: additional solution for three-dimensional packing

Tissues flex into intricate three-dimensional forms that lead to organs as an embryo grows. This…

Parametric semiology: creating meaningful architectural spaces via human patterns of behaviour

In his Parametric Semiology – The Design of Information Rich Environments (2013), Patrik Schumacher from…

Geometry, physics, and the chameleon’s change of colour

For many years, scientists thought that the chameleon’s ability to change colors was due to…

‘Multi-dimensional universe’ in brain networks

Researchers were able to identify architectural patterns that arise when the brain had to comprehend…

Measuring devices from the time of Stonehenge: The chalk drums from Folkton and Lavant

Investigation on mathematical understanding and the usage of conventional units of measurement in prehistoric civilizations…

The math behind musical harmony: phase transitions and balance between order and disorder

Music, while allowing nearly unlimited creative expression, almost always conforms to a set of rigid…

Using moiré patterns prevents information loss in optical communications

A moiré lattice occurs when two periodic 2D patterns are layered on top of each…

Long distance communications through quantum teleportation of light patterns

Quantum communication over long distances is essential for information security, and it has been shown…

The fractal brain, from a single neuron’s perspective

Physicists at Washington University in St. Louis researching the brain have demonstrated that monitoring signals…

Warping geometry pushes scientific boundaries

Atomic interactions in common solids and liquids are so intricate that physicists are still baffled…

Our capacity to recognize patterns might be attributed to the brain’s drive to describe things in the simplest feasible way

Infants may recognize regular sound sequences during their first year of life. As we grow…

Golden Ratio Observed In Human Skulls

For centuries, Φ has been found in human anatomy for millennia, and in recent decades,…

The golden perfection of the aortic valve

By observing the perfect geometry of a tricuspid aortic valve, a team of cardiac surgeons…

Foam offers way to manipulate light

Princeton researchers discovered that a form of foam that has long been researched by scientists…

Irregularly shaped parks reduce mortality risk

Some community parks are square, reflecting the city block where they are located — but…

Mathematical laws underlying brain development have been identified.

Stanford researchers identified a pattern that regulates the development of brain cells or neurons using…

We like our math like we like our art: beautiful

Is it possible for a concept to be beautiful? Mathematicians frequently describe arguments as “beautiful”…

The Beginnings of Life: Mesmerizing Waves Swirl Over Microscopic Bodies

When an egg is fertilized, billions of proteins ripple out across its surface, producing a…

Fullerene-like structures found in 80-million-year-old fossils

Scientists from The University of Western Australia and The University of Cambridge discovered hollow ball-like…

Double helix — the secret of Italian renaissance domes

The Sangallo, who created their own self-balanced building method for brick domes based on the…

Geometry Matters is an independent research on geometric cognition and cognitive geometry.

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.