December 5. – 339
MathMod & Morenaments. The flight of the owl. Variation on Maeder’s owl – A minimal surface found by Roman Maeder, author of the book Programming in Mathematica, the standard reference for programming
Background – a pmm symmetry.
October 31 – 304.
The Kuen kabuki. In mathematics, a Zoll surface, named after Otto Zoll, is a surface homeomorphic to the 2-sphere, equipped with a Riemannian metric all of whose geodesics are closed and of equal length. The Kuen surface is a special case of Enneper’s negative curvature surfaces
Background: Hubble telescope. Galaxy Cluster MACS J0717, 5.4 billion light-years from Earth. It is one of the most complex galaxy clusters ever seen.
October 27 – 300.
Celebrating image # 300 (65 more to go!) – from – very old (the background tiling) – to very new (the abstract shape)…
JavaView – A periodic minimal surface constructed by German mathematician Karl H. Schwarz using the following two principles:
- If part of the boundary of a minimal surface is a straight line, then the reflection across the line, when added to the original surface, makes another minimal surface.
- If a minimal surface meets a plane at right angles, then the mirror image of the plane, when added to the original surface, also makes a minimal surface.
Floor tile– same surface taken through a Lagrange spin filter.
Background: Hubble telescope. Incoming Comet ISON. Its glare can be seen at the left bottom of the foreground object.
October 24 – 297.
JavaView – In differential geometry, the Henneberg surface is a non-orientable minimal surface named after Ernst Lebrecht Henneberg, a German mathematician and professor of applied mechanics.
Background: Hubble telescope. Infant stars in the Small Magellanic Cloud
October 21 – 294.
JavaView – The Chen-Gackstatter surface was the first completely immersed minimal torus of finite total curvature, discovered in 1981. It is an isolated surface with one Enneper end.
Background: Hubble telescope. SN 1006 – A ribbon of gas caused by a stellar explosion that occurred more than 1,000 years ago.
October 14 – 287.
JavaView – Triunduloids on a cloud. After H.B. Lawson’s description of a minimal surface whose existence was proven by Nick Kapouleas. From a script by Karsten Große-Brauckmann and Konrad Polthier.
Background: Hubble telescope. Clear Skies on Exoplanet HAT-P-11b.