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mathematical sculptures by MO-Labs Logo
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    • strong and flexible
    • multiple color sandstone
    • precious metal
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  • people
    • A-F
      • Werner Boy
      • Arthur Cayley
      • Alfred Clebsch
    • G-K
      • Olaus Henrici
      • Felix Klein
      • Ernst Eduard Kummer
    • L-R
      • August Ferdinand Möbius
      • Carl Rodenberg
    • S-Z
      • Ludwig Schläfli
      • Eugenio Giuseppe Togliatti
      • Christian Wiener
  • subjects
    • algebraic geometry
      • cubic surfaces
        • Clebsch Diagonal Surface
      • quartic surfaces
      • quintic surface
      • sextic surface
      • discriminant surfaces
      • many singularities
    • differential geometry
      • curvature
      • constant-curvature
      • Minimal Surfaces
    • school math
      • 3d-graph
      • surface of revolution
    • space curves
      • algebraic space curve
      • sine / cosine based curves
    • topology
      • non-orientable surfaces
      • knots
  • series
    • math sculptures in context
    • speed curves series
    • 45 cubics series I (ball cut)
    • 45 cubics series II (cylinder cut)
  • in public
    • exhibits
      • exhibit “3d print studio” (Feb. 2017-)
      • exhibit “Forms and Formulas” (2012-16)
      • exhibit at “Dutch Math Days” (2016)
    • articles.books
      • article “Straight lines on models of curved surfaces” (2017)
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  • quintic with 15 cusps by MO-Labs on Math-Sculpture.com, a visualization by shapeways.com
    A Quintic with 15 Cusps
    Gallery

    A Quintic with 15 Cusps

A Quintic with 15 Cusps

The quintic with 15 cusps is a so-called world record surface: To our knowledge, it is not known if there may be a quintic with more than 15 cusps although it is known that a quintic cannot have more than 20 cusps.

Oliver Labs2018-01-19T11:42:03+00:00all, many singularities, quintic surface, strong and flexible|
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  • A gyroid, round cut
    Gallery

    A gyroid, round cut

A gyroid, round cut

The gyroid is a modern classic. It is a so-called minimal surface. Our object is an approximation of it in terms of sine and cosine. This one shows more tunnels than our other version.

Oliver Labs2017-07-01T16:18:28+00:00all, curvature, Minimal Surfaces, strong and flexible|
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  • a gyroid - a MO-Labs math object on math-sculpture.com, a shapeways render
    A gyroid, round cut
    Gallery

    A gyroid, round cut

A gyroid, round cut

The gyroid is a modern classic. It is a so-called minimal surface. Our object is an approximation of it in terms of sine and cosine.

Oliver Labs2017-03-27T09:23:51+00:00all, curvature, exhibit "3d print studio" (2017-2018, at Cuyperhuis, Netherlands), for mathematicians, Minimal Surfaces, strong and flexible|
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  • Barth sextic with 65 singularities, smoothed
    Barth’s sextic
    Gallery

    Barth’s sextic

Barth’s sextic

The Barth Sextic is probably the most famous example of the sometimes so-called world record surfaces. This post shows a smoothed variant of it.

Oliver Labs2017-08-28T09:31:06+00:00all, many singularities, sextic surface, strong and flexible|
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Recent Posts

  • Equations for lines and circles
  • Equations and Shapes
  • A Quintic with 15 Cusps
  • 45 cubics, series II (cylinder cut), 15cm
  • A gyroid, round cut

Tags

27 lines 45 cubics algebraic curve algebraic surface brass classics classification Clebsch color colored lines cubic surface curvature cusp diagonal surface differential geometry double six gold gold plated in a cube jewelry knot mean curvature metal minimal surface modern classics Moebius Moebius strip Möbius one-sided one edge parabola pendant projection school sculpture silver singular singularities singularity smoothed space curve straight lines symmetry topology world record surface

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