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    A new technical blog post explains the dual polytope concept and how it can be applied to simplify convex hulls in computational geometry. The piece walks through the mathematical foundations and practical uses of duality for reducing hull complexity. Readers with interests in geometry, graphics, and algorithms are engaging with the explanation and discussing its applications.

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    Halfspace: experimental IDE for solid modeling with distance fieldsโ–ผHalfspace experimental IDE for solid modeling with distance fieldsYhnHealthNutrition19241 min ago

    Developer Matt Keeter has released Halfspace, an experimental integrated development environment for solid modeling built on distance fields, a representation of geometry that stores distances to surfaces rather than explicit meshes. The project is drawing attention among programmers and CAD enthusiasts, who are discussing the approach's potential for programmable, robust 3D design workflows.

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    Quantum geometry found to boost superconductivity and stiffnessโ—Superpotential enhanced superconductivity and robust stiffness shaped by quantum geometryโœ‰newsSciencePhysics1 h ago

    A new study published in Nature reports that quantum geometry can enhance superconductivity, with superpotential effects producing stronger superconducting states and unusually robust stiffness. The finding suggests that the geometric properties of quantum wavefunctions, not just band structure, can be used to engineer materials that superconduct more stably. Physicists are discussing the work as a potential route to designing next-generation superconductors.

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    Mathematician Explains How to Picture the Fourth Dimensionโ—Maggie Miller explains why our intuition about three dimensions breaks down in four, and how she visualizes 4D spaces asMmastodonScience45 h ago

    Mathematician Maggie Miller explains why human intuition built on three dimensions fails in four, and how she visualizes four-dimensional spaces as a sequence of three-dimensional snapshots, like frames on a reel. Writing in Quanta Magazine, she explores what the fourth dimension actually means, offering accessible ways to think about higher-dimensional geometry that challenge everyday spatial assumptions.

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    Artist Shares Hand-Drawn Diatom Microscope Illustrationโ—Drawing of some diatoms I saw under the microscope a while ago # microscopy # diatom # drawing # art # illustration # trMmastodonCultureArt61 d ago

    An illustrator has shared a traditional drawing based on diatoms observed under a microscope, combining scientific microscopy with hand-drawn art. The piece is being shared under both science and art tags, drawing small but appreciative engagement from communities interested in scientific illustration and the intricate natural geometry of these microscopic algae.

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    Polyedergarten Showcases Intricate Paper Polyhedron Modelsโ—Polyedergarten: Garden of Paper Polyhedron ModelsYhn4721 h ago

    Polyedergarten, a German website, presents a large collection of handmade paper models of polyhedra, the three-dimensional geometric solids studied since antiquity. The site displays photographs and descriptions of these crafted mathematical shapes, drawing attention from geometry enthusiasts who appreciate the blend of mathematics and paper craft on display.

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    Polyedergarten Showcases Garden of Paper Polyhedron Modelsโ–ผPolyedergarten: Garden of Paper Polyhedron Models Article URL: https://www. polyedergarten.de/e_index.htm Comments URL:MmastodonBusinessStartups217 h ago

    Polyedergarten, a German website collecting photographs of hand-built paper polyhedron models, is drawing fresh attention online. The site documents geometric solids ranging from simple Platonic forms to elaborate stellated and compound shapes, built from paper and card. Geometry enthusiasts are sharing it as a charming, low-tech celebration of mathematical art and craftsmanship.

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    Edmund Halley House in Oxford draws travel interestโ—Edmund Halley House, Oxford, UK Edmond Halley was appointed the next Savilian Professor of Geometry in January 1703/4 anMmastodonLifeTravel82 d ago

    Edmund Halley House in Oxford, UK is being highlighted as a historic site tied to the astronomer's life. Edmond Halley was appointed Savilian Professor of Geometry in January 1703/4 and is believed to have moved into the house two months later as a sub-tenant under a lease John Wallis had held from New College. An observatory was built there in 1705.

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    Spherical geometry experiments showcased in creative coding artโ—Spherical geometry experiments made with # openframeworks # creativecoding # geometry # math # artMmastodonCultureArt311 h ago

    A creative coder has shared experiments in spherical geometry made with openFrameworks, blending math, geometry and visual art. The work sits within the broader creative coding community, where artists use programming tools like openFrameworks to produce generative and mathematical visuals. The piece is drawing modest attention from people interested in the intersection of code, math and art.

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    How to picture the fourth dimension, explained by a mathematicianโ—What does the fourth dimension actually look like? Quanta mathematician Maggie Miller explains how to visualise 4D spaceMmastodonSciencePhysics39 h ago

    Mathematician Maggie Miller has published a Quanta Magazine explanation of how to visualise four-dimensional space, describing 4D as a sequence of 3D snapshots, much like frames on a reel of film. The piece walks through why human intuition, built for three dimensions, struggles with 4D objects and how mathematicians work around that limit. It is drawing attention among science readers interested in topology and higher-dimensional geometry.

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    Artist opens Mathober 2026 with layered ellipse sketchesโ—EllipsesOnLayered # mathart # mathober # mathober1 # dataviz # perimeters # geometry # ellipses # livecoding For Code/MoMmastodonTechnologySoftware213 h ago

    A generative artist has launched this year's Mathober challenge with a Python-coded piece called EllipsesOnLayered, built around the first daily prompt and focusing on ellipses, perimeters and layered geometry. The work is part of the annual month-long event where mathematicians and creative coders share math-inspired art, with the creator posting code and additional images on their blog.

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    Miller's Monster polyhedron draws fresh attentionโ–ผGreat Dirhombicosidodecahedron ("Miller's Monster")Yhn711 d ago

    The great dirhombicosidodecahedron, an exotic nonconvex polyhedron nicknamed "Miller's Monster," is being discussed after detailed renderings and construction notes circulated online. It is one of the most complex uniform star polyhedra, and enthusiasts are sharing models and explanations of its unusual geometry.

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    An interactive tutorial on mathematical origami is gaining attention online. The lesson, hosted on the Mathigon learning platform, explores the geometry behind paper folding, covering concepts such as folding theorems, crease patterns and the link between origami and mathematics. Readers are sharing it as an accessible, visual way to engage with geometry and appreciate how a traditional craft connects to formal mathematical ideas.

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    Maxhosa Africa Presents Spring 2027 Collection Heritage in Motionโ–ผMaxhosa Africa Spring 2027: Heritage in Motionโœ‰newsLifeFashion1 d ago

    South African knitwear brand Maxhosa Africa, founded by Laduma Ngxokolo, has unveiled its Spring 2027 collection under the theme Heritage in Motion. The collection continues the label's signature fusion of traditional Xhosa beadwork patterns and geometry with contemporary knitwear design. The presentation is drawing attention within the international fashion press as part of coverage of emerging African luxury brands on the global stage.

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    How 3D Printing Is Transforming Robot Partsโ–ผHow 3D Printing Is Transforming Robot Parts: Materials, Design & Applicationsโœ‰newsTechnologyRobotics1 d ago

    3D printing is reshaping how robot components are made, allowing engineers to print lightweight parts, complex geometries and custom designs that traditional manufacturing cannot easily produce. New materials and additive design techniques are enabling faster prototyping and more capable robots across industry, healthcare and research, with outlets highlighting practical applications now emerging.

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    A 1995 article on wavelets in 3D graphics has resurfaced, drawing attention on a developer forum. The piece explores how wavelet transforms can compress and represent three-dimensional data such as surfaces and lighting, a technique relevant to rendering and geometry processing. Readers are revisiting the mathematical foundations and discussing how the ideas hold up in modern graphics pipelines.

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    Butterfly wings share a trick with barbershop polesโ—What butterfly wings have in common with barbershop poles https://arstechnica.com/science/2026/09/what-butterfly-wings-hMmastodonScience22 d ago

    Ars Technica reports that butterfly wings and the classic rotating barbershop pole rely on the same visual phenomenon: motion illusions created by how light and structure interact. In both cases, patterns moving in one direction can appear to shift the opposite way, a property tied to the microscopic structure of wing scales and the geometry of the striped pole, with implications for studying optics and perception in biology.

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