As part of the Hexagon mechanism project, the engineer Johann Wolfesberger and Oliver Conradt, the leader of the Section for Mathematics and Astronomy, have – over the past three and a half years – developed new inversion engines and have built prototypes. The first prototype moves two oloids, the second a ring of six oloids. MORE

In the early twentieth century Rudolf Steiner repeatedly mentioned projective geometry to scientists, mathematicians, teachers and artists. He pointed out that projective geometry could help to acquire forms of thinking which are fundamental for understanding life. MORE

Jac van den Broek's Particle Physics Web Site can be found at

You will find different downloads related to the Mathematical Study Days (Goetheanum, October 9-11, 2013) HERE.

The Astronomical Study Days will take place from Janaury 2nd to 4th, 2015 at the Goetheanum in Dornach (Switzerland). The conference languages are Englisch and German. The contributors from Australia, Europe and the Unided Staates of America will bring up different facets of cosmic conversation. Please find more information and the registration form HERE.

Monday, 16th – Wednesday, 18th February 2015.

There are 2 opposite but complementary ways to make greater sense of what the world presents to us, both ways can engender wonder, respect and even reverence. Either we start with the phenomena, the sense perceptions (as Goethe did) and see if the ideas working in them can reveal themselves to us, or we explore the world of ideas and relate this to our perceiving. The latter is the approach we will take in this seminar. It should however be accessible to those without a lot of prior understanding or experience.

There will also be some warm up geometry sessions before the main seminar for anyone wanting to prepare themselves.

The event will include presentations from Oliver Conradt leader of the Astronomical and Mathematical Section at the Goetheanum, Nick Thomas and other eminent geometricians from Scotland, Berlin and Devon. We will engage with geometry practice suitable for all abilities as well as Eurythmy sessions to assist in the thinking processes. MORE

The International Confernece for Teachers of Mathematics from October 5th, 2015 until October 9th, 2015 will take place ath the Goetheanum in Dornach / Switzerland. The conference willö be held in English, German and Spanish and is organized in cooperation with the Pedagocical Section, the Youth Section and the Section for Mathematics and Astronomy. MORE

Paper on bud research

In the framework of the research project Rhythmical Change of Shape in Mistletoe Berries According to Moon and Zodiac Constellations by Renatus Derbidge at the Natural Science Section of the Goetheanum a first paper was published in the open access journal PLOS ONE. It presents methods and software to capture and measure the shape changes of mistletoe berries and leaf buds over time. The paper describes the software used to automatize a number of tasks including contour recognition, optimization of fitting the contour via hill-climbing, derivation of the path curves, computation of Lambda and blinding the pictures for the operator. The validity of the program is demonstrated by results from three independent measurements showing circadian rhythm in mistletoe berries. The program is available as open source and will be applied in a project to analyze the chronobiology of shape in mistletoe berries and the buds of their host trees.

Coauthors of the paper are Linus Feiten (Faculty of Engineering, Chair of Computer Architecture, University of Freiburg, Freiburg, Germany), Oliver Conradt (Section for Mathematics and Astronomy, Goetheanum, Dornach, Switzerland), Peter Heusser (Centre for Integrative Medicine, University of Witten/Herdecke, Witten, Germany) und Stephan Baumgartner (Hiscia Institute, Society for Cancer Research, Arlesheim, Switzerland). The paper and further material can be found HERE.

Compilation of publications

A compilation of publications on themes of the Section for Mathematics and Astronomy is available as pdf document. The overview comprises publications in German as well as in English language. The books, journals and calendars listed were released by various publishing houses and editors, as at April 2013. Further information can be found HERE.



Section for Mathematics and Astronomy

of the School of Spiritual Science at the Goetheanum, Dornach (CH).

The School of Spiritual Science, Goetheanum, is organized in different Sections, in the sense of faculties. The Mathematical-Astronomical Section is one of currently eleven Sections.

The task of the Mathematical-Astronomical Section includes research and teaching in the field of Mathematics und Astronomy in the sense of the Anthroposophical Spiritual Science as well as the coordination of the collaboration on a local, European and worldwide level.