{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-9720881","patent":{"patent_number":"US-9720881","title":"Convex equilateral polyhedra with polyhedral symmetry","assignee":null,"inventors":[],"filing_date":"2014-07-29T00:00:00.000Z","publication_date":"2017-08-01T00:00:00.000Z","cpc_codes":["G06F","G09B","G09B","G09B","G09B"],"num_claims":15,"abstract":"A new class of polyhedron is constructed by decorating each of the triangular facets of an icosahedron with the T vertices and connecting edges of a “Goldberg triangle.” A unique set of internal angles in each planar face of each new polyhedron is then obtained, for example by solving a system of n equations and n variables, where the equations set the dihedral angle discrepancy about different types of edge to zero, where the independent variables are a subset of the internal angles in 6 gons. Alternatively, an iterative method that solves for angles within each hexagonal ring may be solved for that nulls dihedral angle discrepancy throughout the polyhedron. The 6 gon faces in the resulting “Goldberg polyhedra” are equilateral and planar, but not equiangular, and nearly spherical."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Convex equilateral polyhedra with polyhedral symmetry","description":"A new class of polyhedron is constructed by decorating each of the triangular facets of an icosahedron with the T vertices and connecting edges of a “Goldberg triangle.” A unique set of internal angle","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-9720881","license":"CC-BY-4.0-like","license_terms":"AI-generated analysis on this page (summary, layman_explanation, technical_analysis, business_analysis, faqs) may be reused with attribution and a visible link back to the canonical URL above. Patent abstracts, claims, and bibliographic data are USPTO public domain.","required_link":"https://patentable.app/patents/US-9720881","citation_suggestion":"Patentable. \"Convex equilateral polyhedra with polyhedral symmetry\" (US-9720881). https://patentable.app/patents/US-9720881","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-9720881","json":"https://patentable.app/api/llm-context/US-9720881","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-06-06T07:44:48.444Z"}