Math and Art: Gallery 2010

The Black Holes of Mr. SPoGG

In 2005, Jörg Sameith completed his doctoral dissertation at the chair of Mathematical Optimisation, Jena University. The thesis title is "Penalty Methods - Generating Alternative Solutions for Discrete Optimization Problems with Uncertain Data". Within the framework of his research project, Mr. Sameith designed several nice software tools, amongst others the program SPoGG which is in the meantime available in SPoGG Version IV.

For years, I used SPoGG only as a working tool, although the beauty of its diagrams had always given me joy. During last winter (2009/10) I realized that it might take only a rather small effort to turn the SPoGG diagrams into little pieces of art. After several sessions of meditation finally the Dense Core Elimination technique came to my mind: Given a black/white photo with a dense white core, simply use "MicroSoft Paint" to blacken this central component. Often the remaining light "halo" has an interesting shape. Finding appropriate names for the pictures was the very last step in the process, and happened during a long evening with a good friend and a bottle of wine. The diagrams on this site are a selection, presented with friendly permission by Dr. Jörg Sameith.

Some of the pieces have moved in the hands of collectors. In those cases, the original diagrams are substituted by cloud scapes, and an "a" has been added to the number.

01 Fragile

02 Batman

03 Toccata d-moll (not for sale)

04 Old Wizard at Work

05 Grid

06 Amoeba, ski jumping

08 Tornado over Jena

09 Heavy Books

11 Badger, smelling something

12 The "Zwinger", in Dresden

13 Shoulder Check

15a Steep Turn

16 B-Stall

17 Manual Throttle and Mobile

18 Mr. Mole and his Vienna Waltz

19 Fire und Ice

20 Drunken Sailor in the Fog

21 Mammoth

22 Self Portrait with Potbelly

23a Brainstorming

24 Spider on Steroids

25 STalacTiTe

* * * * * * * * * * * * * * * * * * * * * *

The Dense Core Elimination technique can also be applied to astro-photos of globular clusters. See as an example the Messier 5.

In top a picture of M 5, reduced to black and white.
Blackening the dense core results in the following picture.

Messier 5 with an artistic black hole
It seems to be an open question if M 5 has a black hole in reality.

Comments on the exhibition are welcome.

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