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[Structural Geometric Topology Home] > [Topological Categories] > [Elevations]
Elevations are topological strucures with geometric composition. They are also porous polyhedra that extend beyond the surface of the base polyhedra and form extrahedral structures. These examples of elevations are inspired by mathematical artist Rinus Roelofs' exploration of them in his 2014 Bridges Math and Art Conference paper, Elevations and Stellations, which was itself inspired by Leonardo da Vinci. This collection features a diverse array of elevated models exhibiting polyhedral symmetries.
University: STEAM
Department: Metamathematics
Discipline: Structural geometric Topology
Category: geometric Elevations
structure: Da Vinci icosahedral elevation
components: triangles with nested icosidodecahedron
structure: Da Vinci icosahedral elevation
components: hexagons
structure: Da Vinci octahedral elevation
components: squares, hexagons
structure: Da Vinci octahedral elevation
components: squares, hexagons
structure: Da Vinci icosahedral elevation
components: hexagons
structure: Da Vinci-Holden octahedral elevated polylink
components: triangles, hexagons
structure: Da Vinci dodecahedral elevation
components: pentagons, decagons
structure: Da Vinci icosahedral elevation
components: hexagons
structure: Da Vinci dodecahedral elevation
components: pentagons
structure: Da Vinci dodecahedral elevation
components: pentagons
structure: Da Vinci icosidodecahedral elevation
components: triangles
structure: Da Vinci icosahedral elevation
components: triangles
structure: Da Vinci icosahedral elevation
components: triangles
structure: Da Vinci icosahedral elevation
components: triangles
structure: Da Vinci icosahedral elevation
components: triangles
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