Learn · Sky geometry
Projection — what only looks that way in the sky
An astrophoto is a map with one fundamental defect: it has no depth axis. Everything that happens to lie along the same line of sight is stamped onto the same spot — the star next door right on top of the nebula behind it, the foreground cluster right inside the background cloud. Anyone who wants to read images of the sky has to know this defect, because it produces the finest illusions in this gallery.
The image is a line of sight
Constellations connect stars by their directions in the sky. Many of these stars are far apart in space, although some smaller subgroups can be physically related. The familiar pattern alone does not establish a shared origin. Constellations primarily organise directions on the sky.
Size lies as well
The image's second omission: it knows only angles. Whether something is large and far or small and near cannot be read off an angle — a thumbnail at arm's length covers the Moon, and the Moon would cover the Crescent Nebula:
A few things worth knowing about this:
- Every image is also a mosaic of times. The light of the foreground star is a few hundred years old, that of the nebula behind it a few thousand, that of M 31 two and a half million. A single photograph mixes epochs — what stands side by side is not simultaneous.
- Andromeda is six full Moons wide. In the sky M 31 measures a good three degrees — the eye sees only the bright core of that, and many therefore take the galaxy to be tiny. The apparent contradiction “huge in the sky, yet invisible” is pure surface brightness: plenty of angle, little light per angle.
- How the depth is won back. The missing axis is measured, not seen: parallax for the nearby stars, standard candles such as the type Ia supernovae from the supernova article for the distance, plus clues such as reddening by dust. Only these measurements turn the flat image into a space.
- Sometimes the physics helps right inside the image. Silhouettes prove a foreground (dust in front of glowing gas), ionization rims prove a togetherness (the star has to be close enough to drive the front). An image that has been read holds more depth than it shows.

The cone of view as a scene: star, cluster and nebula at completely different depths — seen from the pointed end they collapse into a single sight. This image is AI-generated — not a photograph but an illustration.
In our own sky
The gallery is a small collection of projection cases — here are the best of them:





And the useful side of projection: the “Butterfly” exists only because the dark cloud LDN 889 happens to lie in front of the glowing surface — the silhouette proves the order. Sometimes the illusion itself is the depth gauge.
My photograph · IC 1318 Panorama · 1.90° × 1.60° · view gallery entry
NGC 891 extends this principle beyond the Milky Way: foreground stars, the large edge-on galaxy and much more distant small galaxies occupy the same image. Additional catalogue data, not angular separation, establish which belong to an association. Read more in Galaxy associations and the cosmic web.
My photograph · NGC 891 · view gallery entryFurther reading
- Constellation — chance patterns with a cultural history (Wikipedia).
- Parallax — the original method of distance measurement (Wikipedia).
- Angular diameter — why the sky knows only angles (Wikipedia).
- Galaxy types: shape or perspective?
- Galaxy associations and the cosmic web