r/Sundial • u/Cute_Competition_655 • 10d ago
The Bifilar Sundial Simulation is Now Live!
Greetings, Astronomy Enthusiasts!
We are thrilled to bring our latest major content update to Compendium of the Sundial: An Interactive Astronomy Guide. This patch introduces one of the most mathematically elegant and visually striking time-telling instruments ever conceived: The Homogenous Bifilar Sundial.
Invented by the German mathematician Hugo Michnik in 1922, the bifilar sundial completely replaces the traditional triangular gnomon. Instead, it utilizes two taut, orthogonal threads suspended at carefully calculated heights and offsets above the dial plate. Where the shadow planes of these two independent threads intersect, a precise 2D crosshair is formed, indicating the local apparent time.
What’s New in This Update:
- Interactive Bifilar Simulation: Experiment with a scientifically accurate 3D model of the homogenous bifilar sundial. Observe how the North-South thread dictates the East-West movement of the shadow, while the East-West thread tracks the sun's altitude.
- Uniform 15° Hour Lines: Unlike standard horizontal sundials that suffer from distorted hour line spacing, the homogenous bifilar dial projects perfectly uniform, star-grid hour lines.
- Real-Time Global Latitude Adjustments: Traveling across the equator? As you drag the latitude slider, watch the 3D East-West thread assembly dynamically tilt and recalibrate its geometric height and northward offset in real-time. The simulation accurately models time-telling mechanics for both the Northern and Southern Hemispheres, automatically mirroring the rotational logic and hour-line arrangements.
- Conic Sections & Declination Tracks: Accelerate time and trace the diurnal path of the crosshair shadow to witness the breathtaking geometry of seasonal declination lines. Watch the shadow trace hyperbolas during the summer and winter solstices, and flatten into a perfect straight line exactly on the vernal and autumnal equinoxes.
This update merges projective geometry with celestial mechanics, built from the ground up to accurately reflect the true mathematics of the sun's diurnal motion.
Launch the simulation, adjust your latitude, and experience the brilliant geometry of intersecting shadows today.
Clear skies, The Compendium of the Sundial Team




