{"ok":true,"nota":{"id":"11b57dd534943bcc","slug":"un-metodo-matematico-propone-una-forma-unica-de-describir-figuras-geom-11b57d","titulo":"Un método matemático propone una forma única de describir figuras geométricas en 3D","resumen":"Los autores proponen una estructura de árbol llamada PHG para representar de manera única una solución geométrica tridimensional ya calculada por un programa. Definen reglas de construcción y normalización que buscan que cada solución tenga una sola representación posible.","fuente":"zenodo","fuenteNombre":"Zenodo · Investigación abierta","color":"#1682d4","autor":"Pan, Guojun","url":"https://doi.org/10.5281/zenodo.23527080","imagen":"/hoy/portada/11b57dd534943bcc","tema":"tecnologia","subtemas":["geometría computacional","diseño asistido por computadora","representación de datos","modelado 3d","ingeniería de software"],"entidades":[],"formato":"dato","entretenimiento":false,"pubTs":"2026-10-21T06:34:27.000Z","indexTs":"2026-10-23T12:03:18.527Z","hash":"13816c2fb5ef2b61514fb9309b566ddd2b89cb33b35f769d65226b5c8242c08c","tsa":{"time":"Oct 23 12:04:19 2026 GMT","provider":"freetsa.org","sobre":"sello"},"stats":{"views":0,"likes":0,"clicks":0,"dwell":0},"tipo":"normal","registro":"hallazgo","porQueImporta":"Este tipo de trabajo es clave para el software de diseño, la ingeniería y la fabricación, donde un mismo objeto no puede describirse de dos maneras distintas sin generar errores. Para quien usa programas de modelado o impresión 3D, significa archivos más confiables y menos fallas al pasar un diseño de una herramienta a otra. La utilidad depende de que el método se adopte en el software comercial, algo que el trabajo por sí solo no garantiza.","quienFirma":"Zenodo · Investigación abierta","confianza":"preprint","consulta":null},"sello":{"hash":"13816c2fb5ef2b61514fb9309b566ddd2b89cb33b35f769d65226b5c8242c08c","sello":"b7ba51e4b28db6921dd1571604c9cc10246429b5956c78d5fa2c1e98bacb5616","beacon":{"drand":{"cadena":"8990e7a9aaed2ffed73dbd7092123d6f289930540d7651336225dc172e51b2ce","ronda":6577534,"aleatorio":"c9e07c4a7baaade0e8acc56f64536cbb18d3ad1e3d8c1ae5596009491ca1c705","tiempo":"2026-10-23T12:04:00.000Z"},"nist":{"cadena":2,"pulso":1995961,"salida":"F41B5D0D554B9AA93D86596521336D547B043E4F52A3C280F10F60EAE511ED1743D3E56670D4E53EB431734AC5B1B8CB5DCF96D1DB26F562D058604979415129","tiempo":"2026-10-23T12:03:00.000Z"},"noAntes":"2026-10-23T12:04:00.000Z"},"verificacion":{"drand":true,"nist":true},"tsa":{"time":"Oct 23 12:04:19 2026 GMT","provider":"freetsa.org","sobre":"sello"},"original":{"titulo":"From Constraint Graphs to a Canonical Constructive PHG Tree: An Unambiguous Carrier of Solved Three-Dimensional Geometry","descripcion":"<p>Spatial constraints naturally form a graph: alignment, distance, incidence, and port relations may connect many objects and contain cycles. After a solver selects one feasible geometric solution, downstream software needs a single reconstructible description of that selected solution, including its constructive decomposition and local geometry. We propose a PHG tree as this description. Its parent&ndash;child structure defines finite construction and local coordinate inheritance; typed resolved references retain selected cross-tree relations. A profile fixes primitive semantics, frames, identities, operation order, numerical tolerance, and a canonical normal form. Under these conditions, canonicalization maps one selected solution to one PHG representation, and evaluation recovers the profile-relevant geometry and local relations. This uniqueness concerns the representation of the sel","pubDate":"2026-10-21T06:34:27Z","url":"https://doi.org/10.5281/zenodo.23527080"},"indexado":"2026-10-23T12:03:18.527Z"}}