Further reading
Links and media
Further websites, films and books, most of them in German. Some addresses date from 2010 to 2015 and are no longer online. They are kept here as a record of who has worked on these subjects.
Websites
- Keplerstern – The Signature of the SpheresHartmut Warm
Planetary motion patterns as star figures, in the tradition of the Pythagorean harmony of the spheres.
- The prime number crossPeter Plichta
Numbers arranged in rings of 24, and Plichta’s reading of the number 24.
- Neutonus reformatusEd Dellian
Translations of Newton’s original Latin writings. Dellian sees the fourfold proportion, a tetractys, as the key to Newton’s theory of motion.
- divisorplotJeffrey Ventrella
The lambdoma as a simple number table, with an interactive viewer that follows the divisor patterns up to large numbers.
- Harmonik-Zentrum Deutschland
Association for harmonic research, grown out of the circle of friends around Hans Kayser in Bern. It aims to connect scattered efforts towards a harmonic understanding. Meant is not musical harmony theory but harmonics as the correspondence of sound, number and form.
- Hans Kayser
An extensive site about Kayser and his work, from which almost every topic in harmonics is covered in words and pictures.
- Dr. Hans G. Weidinger
Site of a natural philosopher, harmonicist and physicist on culture, religion and the “royal art”.
- Water sound imagesAlexander Lauterwasser
Sound figures in drops of water, and behind them the question of how biological forms arise in the history of life.
- Mathematische BasteleienJürgen Köller
An entertaining German reference on geometry and number theory.
- Primes, divisibility and the number 24
Why p² − 1 is divisible by 24 for every prime above 3.
- Snow CrystalsKenneth Libbrecht, Caltech
Photos and videos of ice crystals growing under laboratory conditions. Masaru Emoto’s theories are doubted there, though not specifically tested.
- Pythagoras Institute DresdenAndreas Beutel
Harmonics, sacred geometry, Global Scaling and the quality of numbers, with seminars on these topics.
- Forum for hermetic philosophy
Talks on mysticism, mythology, alchemy, Kabbalah and tarot.
- Archive of German philosophical texts
Philosophical texts in full, run by the reprint publisher Dietrich Scheglmann.
- Primes easy to crackMM-News
A news article on a simple prime pattern, linked as a document of its time. The site otherwise reports mainly on politics and business.
Films
- On geometry, harmonics and number as carriers of information
A conversation with Andreas Beutel, head of the Pythagoras Institute in Dresden, on the quality of numbers, their relation to geometry and music, and how form enters the world.
- Die Code-Knacker (3sat, 2010)
A two-part German documentary on the Riemann hypothesis, the distribution of primes, Euler’s link between primes and π, and the role of primes in physics.
- Harmonic foundations and the lambdoma
A video series by Henny Jahn, organ builder and author of “Weltformel Lambdoma”, who uses lambdoma diagrams to explain musical and philosophical connections and invites viewers to draw them themselves.
Books
- Hermann Diels, Walther Kranz: Die Fragmente der Vorsokratiker
- Julian Havil: Gamma. Eulers Konstante, Primzahlstrände und die Riemannsche Vermutung, 2007
- Theo Reiser: Das Geheimnis der pythagoräischen Tetraktys, 1967
- Florian Mayr: Heilige Tetraktys. Herders metakritische Hermetik, 2006
- Giordano Bruno: De monade, numero et figura, 1591
- Emil Stejnar: Exerzitien für Freimaurer, Die vier Elemente
- Alfried Lehner: Die Esoterik der Freimaurer
- Hans-Georg Gadamer: Der Anfang der Philosophie
- Richard Buckminster Fuller: Synergetics, 1975
- Hartmut Warm: Die Signatur der Sphären
- Eliphas Lévi: Dogme et rituel de la haute magie, 1854–1856
- Geheime Figuren der Rosenkreuzer aus dem 16ten und 17ten Jahrhundert, Altona 1785
- Willibald Limbrunner: Zahl Seele Kosmos. Wie die universelle Vierheit den Kosmos und unser Bewusstsein prägt, Synergia
- Henny Jahn: Weltformel Lambdoma
- Platon, Calcidius: Timaios, griechisch, lateinisch und deutsch (Übersetzung Hieronymus Müller), als Quellensammlung zum Weltbild von Antike und Mittelalter zusammengestellt von Hans Zimmermann