Topological Nets that Overlap
[Making Math Models] > [Topological Nets] > [Klein Surfaces]
Klein surfaces are inspired by the Klein bottle first described by mathematician Felix Klein in the 19th century. For the saucer like structures below the tubes of the Klein bottle are reduced to singular polyhedron surrounded by an annuloid. Other examples have radial tubes for the tessellating varieties and linear tubes for the linear surfaces.
structure: Kepler-Klein monosurface
components: triangles, squares, octagons
structure: Kepler-Klein monosurface
components: triangles, squares, hexagons
structure: Kepler-Klein monosurface
components: triangles, squares, pentagons
structure: Kepler-Klein monosurface
components: squares, hexagons, dodecagons
structure: Kepler-Klein monosurface
components: squares, pentagons, icosagons
structure: Kepler-Klein monosurface
components: triangles, squares
structure: Kepler-Klein monosurface
components: squares, hexagons
structure: Kepler-Klein monosurface
components: squares, hexagons, dodecagons
structure: Kepler-Klein monosurface
components: triangles, squares, hexagons
structure: Kepler-Klein monosurface
components: triangles, squares, hexagons
structure: Kepler-Klein monosurface
components: squares, pentagons, decagons
structure: Kepler-Klein monosurface
components: squares
structure: Klein hemicubic monosurface
components: squares
structure: Klein cyclinder monosurface
components: squares
structure: Kepler-Klein monosurface
components: triangles, pentagons