Cassandra Extavour and her colleagues, who study the origins of multicellular organisms and the evolution of cooperation, still disagree on the meaning of key concepts such as cooperation, competition and fitness...
A computational study reveals surprising flexibility hidden within metabolic networks, providing new evidence for an evolutionary concept called exaptation
In the complex architecture that ferries fluids in plants and brains, scientists are finding a model of resilience
Musical chords naturally inhabit certain topological spaces, which show the possible paths that a composer can use to move between chords
Studies suggest that computer models called neural networks may learn to recognize patterns in data using the same algorithms as the human brain
Because of their aesthetic appeal, organic feel and easily understood structure, Goldberg polyhedra have a surprising number of applications ranging from golf-ball dimple patterns to nuclear-particle detector arrays...
Symbiotic bacteria that dwell within insect cells are intricately intertwined with their hosts, prompting scientists to question when these bacteria stop being bona fide organisms and become part of the cell...
Decades of confounding experiments have physicists considering a startling possibility: the universe might not make sense
Juggling has advanced enormously in recent decades, thanks in part to the mathematical study of possible patterns
The direction a bicycle has traveled can be determined by examining its tracks and thinking about tangent lines, geometric constraints and the bike's steering mechanism
New research has prompted a resurgence of interest in the patterning mechanisms Alan Turing proposed 60 years ago
Objects with icosahedral symmetry occur in nature only at microscopic scales, including quasicrystals, many viruses and some beautiful protozoa in the radiolarian family
A new collection of arresting wallpaper designs seems to defy the crystallographic restriction
The exact angles of crystals reveals their underlying structure as given by repeating lattices of atoms and molecules, as explained in this video by geometer George Hart
What happens when this well-studied cube-like fractal is sliced on a diagonal plane? Try to predict the solution the puzzle before minute 3:25 in this video
Theory suggests it is impossible, but geometer George Hart shows that the band's thickness can help you solve this puzzle
A game theory model suggests that animal communication may have evolved to be honest most of the time, but not always
A mathematical technique called “differential privacy” gives researchers access to vast repositories of personal data while meeting a high standard for privacy protection
"Thinking quantumly" can lead to new insights into long-standing problems in classical computer science, mathematics and cryptography, regardless of whether quantum computers ever materialize...
A proof announced in March resolved the last of 23 questions about 3-D shapes posed in 1982 by mathematician William Thurston, marking the end of an era in the study of "three-manifolds"...