Claim status
Shape not established
In the record
Technical account presented 17 May 2022
Testable
Defocused light footprint on an image sensor
Method
Thin-lens geometry for a distant point source
CLAIM / CASE FILE

Black Triangle UFO Sightings: What the Photos Show

A black triangle UFO is a report of a dark triangular craft, or a triangle of lights, in the night sky, common since the Belgian wave of 1989–90. In photographs the triangle is explained by lens blur: an out-of-focus point of light takes the shape of the camera’s aperture.

A defocused point light spreads 50.5 pixels across the frame, 0.253 mm at the sensor, and takes the shape of the aperture rather than the object.

Night-vision recordings show flashing triangular lights above the sea. The triangular pixels are real. So is the optical system between those lights and the recording: a night-vision device viewed through another camera. A bright outline can describe the shape of that system’s blur before it describes an aircraft.

Run the calculation
A green scanner illustration of a flying saucer above a desertAn unidentified signal is where the work begins.
01 / THE CLAIM

A triangle in the image becomes a triangular vehicle

The claim treats the luminous outline as the exterior of a craft. Several lights with similar triangular shapes seem to reinforce the interpretation: the objects appear to share a design. That would be useful evidence if the image resolved their surfaces. A small distant light, however, can illuminate a patch of the camera’s optics without providing a resolved view of the thing carrying it.

02 / THE CASE

The same outline can travel through the same camera

The Navy’s technical account compared recordings made years apart through night-vision goggles and a single-lens reflex camera. In the later encounter, other equipment also observed unmanned aerial systems nearby. The account associated the recorded triangles with those systems and attributed their triangular appearance to the optical recording chain. This identifies an image-formation effect, rather than measuring a triangular airframe.

Photographic bokeh supplies the relevant mechanism. When a point source is out of focus, its light spreads into an image whose shape can reflect the aperture. Nikon describes the effect of diaphragm shape on out-of-focus highlights. Repeating the shape across several lights can therefore be evidence that they passed through the same optics.

That possibility creates a practical test. Change focus while watching the lights. Compare other small lights in the frame. If outlines contract, enlarge or acquire the same polygonal border together, an optical explanation makes a prediction about the whole image. A true outline should also retain resolved structural detail when the subject is brought into focus.

03 / THE COMPUTATION

How large can the blur become?

The instrument uses a single ideal thin lens to isolate defocus. It places the light effectively at infinity and focuses the camera on a nearer distance. These are adjustable optical conditions, not recovered specifications for the Navy recording. They answer whether an unresolved light can occupy a conspicuous area even without a large luminous body.

For focal length f, focus distance s and aperture number N, the distant-light blur width is f² divided by N × (s − f), with f and s in the same units. The result follows from the thin-lens equation and similar triangles through the aperture. Dividing the blur width by pixel pitch tells us how many pixels it covers.

With the opening 50 mm lens, focus at 5 metres, aperture f/2 and 5 micrometre pixels, the blur spans about 0.253 mm: approximately 50.5 pixels. Moving focus to 50 metres reduces the calculated span to about 5 pixels. Increasing the aperture number also shrinks geometric blur. A wider image footprint has appeared without any increase in the physical size of the distant source.

RUN THE NUMBERS

How many pixels can defocus occupy?

An ideal lens observes an effectively infinite-distance point light while focused nearby. All four settings are illustrative and adjustable.

Calculation inputs
mm

Illustrative lens. A longer focal length increases the blur strongly, approximately with its square.

m

Illustrative focus setting. Focusing farther away shrinks the distant-light blur.

f/

Illustrative aperture. Doubling the number halves geometric blur width.

µm

Illustrative sensor sampling. Larger pixels mean fewer pixels across the same optical blur.

Blur span50.5pixels

A distant point source can occupy this many pixels across under the selected focus conditions.

Width at the sensor0.253 mm

This is an optical image width, not the size of the distant object.

Working tape
  1. Focus distance in millimetres5 × 1,000 = 5,000
  2. Focus distance minus focal length5,000 − 50 = 4,950
  3. Squared focal length50 ^ 2 = 2,500
  4. Aperture × focus gap2 × 4,950 = 9,900
  5. Geometric blur width2,500 ÷ 9,900 = 0.252525
  6. Pixel pitch in millimetres5 ÷ 1,000 = 0.005
  7. Pixels across the blur0.252525 ÷ 0.005 = 50.505051
04 / THE FINDING

The outline belongs to the light path until resolved

The illustrative 50 mm lens, focused at 5 metres and set to f/2, spreads a distant point light across about 50.5 pixels. A shaped aperture can give that spread a polygonal outline. Those pixels measure the image formed by the optics; their width and corners need not describe the light’s physical source.

The compared Navy observations associated the triangles with unmanned aerial systems and their appearance with the recording optics. A focused image with resolved structure would supply the missing evidence for an airframe’s shape. Enlarging an unfocused light preserves a larger view of the blur.

05 / WHY PEOPLE BELIEVE IT

Why people believe it

Triangular craft are a long-running theme. Large black triangles were reported over Belgium in 1989 and 1990, and the shape appears in later sightings and in popular culture. When night-vision footage from US Navy ships showed small triangles of light in 2019, viewers took the shape as a hull. The technical account presented to a House Intelligence subcommittee on 17 May 2022 showed the opposite: a bright point seen through night-vision optics, out of focus, takes the shape of the lens aperture. A triangular iris or a blocking element makes every such point a triangle, whatever it is.

06 / WHERE TO TEST IT

Where to test it

The blur circle follows the thin-lens relationship between aperture, focal length and focus distance, which the calculator evaluates. The same arithmetic explains why distant street lamps become soft discs in a photograph taken with the lens focused on a nearby object.

Compare counts after dividing by traffic exposure

Bermuda Triangle

The Bermuda Triangle is not shown to be more dangerous once traffic is counted: 2 incidents against 4 per 100,000 voyages. Set the traffic yourself.

Horizon depression at altitude and the Sun’s descent rate

Area 51

Area 51 is a secret US test range where spy planes, not aliens, were kept. A U-2 at 21.3 km stays sunlit 23 minutes after sunset, glowing like a UFO.

Right-triangle range and horizon geometry

Chemtrails

Chemtrails are contrails: ice trails from jet exhaust, not sprayed chemicals. A trail at 11 km is 22 km away at 30° up. Set the altitude and angle.