Dierck-Ekkehard Liebscher

Relativity, geometry, and cosmology in pictures

    Gesamtschau    Distances    Reflections    Projective geometry    Conics    Minkowski    Lobachevski    Curvature    Michelson    Space-time    Special relativity    Try it yourself relativity    Mass and energy    Gravitation    Cosmology    Cosmic nucleosynthesis    Cosmic structure    Cosmic vacuum    Cosmic pinpoints    Time and entropy    Quantum physics    Physics supplement    Paper polyhedra

Geometry of distances in pictures







Geometry of reflections











Projective geometry in pictures

Perspective

Dürer

Cross ratio (Doppelverhältnis)

Complete quadrangle (Vollständiges Viereck)

Polarity

Lense map


Conics in pictures


Pascal and Brianchon

Foci

Three focus-sharing conics

Three asymptote-sharing conics


Minkowski geometry (pseudoeuclidean geometry) in pictures


Pythagore in Minkowski space-time


Feuerbach-Kreis



Dreiteilung des Winkels



Non-euclidean (Lobachevski) geometry in pictures







Curvature in pictures

Curvature of space

The south-pointing chariot (Zhi nan che)

Curvature of space-time

Curvature of the universe: Mercator maps




Michelson experiment in pictures
















Space-time in pictures



Special relativity in pictures

,
Relativity of time
,
Relativity of length

Mechanics for relative simultaneity

Tachyons

Scattering

Aberration of starlight


Relativity: try it yourself

Lichteck (quadrilateral of light)

Symmetry

Time dilation

Twin paradox (Zwillingsparadoxon)


Mechanics of collisions, mass, and energy







Gravitation in pictures

Planetary orbits



Lenses



Cosmology basics in pictures


Expansion

Friedmann solutions

Models for the early universe


Cosmic nucleosynthesis in pictures



Cosmic structure in pictures


Störungsspektrum

Hintergrund


Cosmic vacuum


Quantum vacuum

Flow of energy

Vacuum, ether, dark matter


Cosmic pinpoints



Time and entropy in pictures


Entropie


Quantum physics in pictures

Photoeffekt



Bohr und Einstein



Physics supplementary pictures



Polyhedra paper models