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wolfgang w. daeumler
artmetic mono-algorithmic digital art
computer graphics and interdisciplinary art project


mathematical art
'evolution'mathematical art
'piano room'mathematical art
'brainwave'mathematical art
'burst dreams'mathematical art
'third bird'

mathematical art
'climatic change'mathematical art
'yellow wave''witch dance'
→ enter mathematial artmathematical art
'... and moonshine in mind'mathematical art
'hypnosis'
    enter    

my mathematical artmathematical universehorn torus geometry

my aviation weatherflight into the nightaircraft - aviation - adventure

my reminiscencesCaribbean leisure ...5m waves on Atlantic ocean

my toys & toolswww.dorntorus.de (deutsch)flight through Mandelbulb

info & contactmy reasoning & conclusionsspin-offs & unique copiesthat's perfect !!torus knots..... to center's edgealgorithmic flowers
 
 
All these links are connected somehow via a very special geometric figure:
 

The  horn torus , a strange and widely unknown entity, just mathematically defined and without any noticable manifestation in our as reality perceived world, plays an important, perhaps the most prominent role in my past thirty years. Discovered in 1988 during a three months sailing voyage in the Mediterranean Sea, the figure monopolized my thoughts and my activities, after I had recognised, that dynamically interlaced horn tori are best apt to symbolise physical terms, concepts and phenomena as analogous figurative visualisations. I decided to pause my profession as a medical doctor (in my even younger days I used to be a theoretical physicist, but unfortunately I had not experienced major scientific bliss, against my expectations). I continued sailing, now with a bigger boat, that was suitable to cross an ocean. Sailing the Caribbean was easygoing and gave pleasure, muse and time for contemplation. I wrote down my thoughts about the  Dorntorus  (in German language), adapted the analogous horn torus model and developed a computer programme to generate horn torus related images. Some of these almost appeared as digital art, what induced me to enhance my programme to a comprehensive graphic synthesizer, still and exclusively using horn torus coordinates and always the same algorithm. Many of the images can be found on this website. For a couple of years I organized a digital art exhibition, where the images were shown as large size prints, together with works of other digital artists. Then, not to be occupied perpetually by the horn torus ideas, and to blow away most obsessions, I renewed my pilot's licence (formerly I held a commercial licence), bought a small plane again and undertook countless flights, often together with newly gained friends, meanwhile as a crucial part of the exciting game, called life. And that's another connecting intention of all these sites: to play a game ...

don't mix it up with science! *

* whereas, our game has a meaning (copied from  other page  ): the horn torus is an excellent graphic representation of complex numbers, a compactification with considerable more properties than the Riemann sphere has, it connects zero and infinity in an amazing way, can be dynamised by two independent turns, rotation around the axis and revolution around the torus bulge, what creates an incredible complexity and forms a coherent comprehensive entity, also explaining the self-interacting capability and fractal order of complex numbers, and finally - most important - horn tori can be interlaced into one another and so symbolise interactions between entities, easily interpretable as physical objects: 'space', 'time', 'particles', 'forces' ...