DIY Hologram Pyramid: Cut One to Fit Your Screen

A hologram pyramid is four panels of clear plastic taped into an upside-down, flat-topped pyramid that stands on a phone or tablet. HoloPath exists because of one: it was built for a STEM project that turned Magna-Tiles into a hologram projector, written up on Substack. This guide gives you the measurements for your own screen, worked out so the pyramid matches the layout HoloPath produces.

What you need

Skip glass: it is hard to cut accurately and dangerous to handle as small panels. Skip frosted or tinted plastic, which kills the reflection.

The shape of each panel

Each of the four panels is a trapezoid: a long bottom edge, a short top edge and two slanted sides. In use the pyramid stands on its short end, and the faces lean out at 45°. Three measurements define it:

For the faces to sit at exactly 45°, the panel height and the slanted sides follow from the other two:

H = 0.707 × (B − T)
slanted side = 0.866 × (B − T)

The well-known template of a 60 mm base, 10 mm top and 35 mm height is this rule at work: 0.707 × 50 = 35.4.

Sizing it to HoloPath's layout

HoloPath's four-sided layout leaves 3% of the screen empty at each edge, then draws each copy almost to the centre, stopping about 5.6% of the screen's width short of it. A pixel's distance from the centre becomes its height in the floating image, so the pyramid has to cover that whole band:

A smaller base cuts off the top of the hologram; a wider top opening cuts off its feet. Measure the screen's short side across the lit area only, not the bezel, because a square GIF played full screen fills exactly that width.

Screen's short side Base Top Panel height Slanted side
65 mm (typical phone) 62 mm 7 mm 38.9 mm 47.6 mm
150 mm (small tablet) 143 mm 16 mm 89.8 mm 110.0 mm

The phone pyramid makes a hologram about 27 mm tall; the tablet one, about 62 mm.

Cutting and assembly

  1. Draw one trapezoid on paper first and check it against the formula: if the slanted sides come out shorter or longer than 0.866 × (B − T), the faces will not sit at 45°.
  2. Trace four copies onto the plastic. Score film or a CD lid with a knife along a ruler and snap it, or cut film with scissors in one smooth stroke. Matching panels matter more than perfect edges.
  3. Tape the slanted sides together on the outside only. Tape on the inside faces shows up in the reflection.
  4. Check that the top opening is square and the pyramid stands without rocking.

Using it

Make the hologram in HoloPath with the Pyramid 360° layout, which places four mirrored copies with their bases pointing at the centre. Play it full screen at maximum brightness, with auto-brightness off, in a dark room. Stand the pyramid on its small end in the middle of the screen, with its sides parallel to the screen edges, and look straight in at the height of its middle.

When it does not look right

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