Open-Sector Observatory
An octagonal astronomy observatory with seven exact five-triangle dome gores, an open viewing sector and a square telescope on a paper pedestal.
Materials
- 180-220 gsm cardstock
- Scissors or craft knife
- Scoring tool and ruler
- PVA paper glue
- Narrow blunt tool for seam pressure
Finished size: 90 x 90 x 83 mm
Steps
CutValley foldMountain foldGlue area
-
Cut and score
Print at 100%; confirm the 50 mm ruler. Cut every outline, including tapered tabs. Score dashed folds. Keep IDs beside pieces until fitted. All glue tabs are included in the nets.
-
Build the central pedestal
Fold P1-P4 into a 16 x 16 x 48 mm square column. Turn long 3 mm tabs inward by 90 degrees; glue each behind the next side. Close P4 to P1 while both ends are open, pressing with a ruler through the ends. Fold bottom 4 mm tabs inward and top 3 mm tabs inward; glue PT onto the top tabs, pressing from the open bottom. Dry.
-
Mount pedestal to foundation
Center the pedestal on F with its corners 8 mm each side of the center in both directions. Orient its square toward the midpoint of edge W1 (the missing dome sector). Glue its four inward 4 mm feet to F. Press through the still-open surrounding space and dry fully.
-
Form the open telescope tube
Join T1-T4 into an 8 x 8 mm square tube, length 32 mm. Fold each 2 mm long-edge tab inward 90 degrees and glue behind the next face; close T4 to T1. Both tube ends stay open so a narrow tool can press all four seams. This is a static decorative tube without glass or optics.
-
Mount the supported telescope
Glue the underside of T1 directly to PT over an 8 x 16 mm contact rectangle. The rear tube end aligns with the rear pedestal edge; the forward end projects 16 mm beyond the front edge. Aim toward the midpoint of W1. Tube underside is 48 mm above F; no hidden support is needed. Let dry before adding walls.
-
Wrap the octagonal building
Each wall is 34.44 x 38 mm. Fold its right 4 mm tab inward through 45 degrees onto the next wall; fold bottom tabs inward 90 degrees. Assemble W1-W8 clockwise viewed from above, matching F edges. Glue bottom tabs to F, then close W8 to W1. Press all seams through the completely open roof. Let dry; the walls have no separate roof disk.
-
Preform the dome gores
G1-G7 each contain five exact triangles: two split trapezoid tiers and one crown triangle. Score all four internal edges. The diagonal in each trapezoid remains flat (0 degree bend); bend the horizontal tier creases inward to follow the faceted hemisphere. Equator radius is 45 mm; tier heights above walls are 22.50 and 38.97 mm, crown 45 mm. Do not stretch or round the facets.
-
Install dome gore 1
Place G1 over W2; its 34.44 mm lower edge matches that wall exactly. Fold the lower 3 mm tab down behind the wall and glue, pressing from inside. Leave the right tabs exposed for the next gore. Let each seam set before continuing.
-
Install dome gore 2
Place G2 over W3; its 34.44 mm lower edge matches that wall exactly. Fold the lower 3 mm tab down behind the wall and glue, pressing from inside. Glue the left meridian of G2 over the three 3 mm tabs on G1, working upward from the equator. Each meridian segment is 23.29 mm; tabs stop 2 mm short of endpoints. Match vertices, not tab tips. Leave the right tabs exposed for the next gore. Let each seam set before continuing.
-
Install dome gore 3
Place G3 over W4; its 34.44 mm lower edge matches that wall exactly. Fold the lower 3 mm tab down behind the wall and glue, pressing from inside. Glue the left meridian of G3 over the three 3 mm tabs on G2, working upward from the equator. Each meridian segment is 23.29 mm; tabs stop 2 mm short of endpoints. Match vertices, not tab tips. Leave the right tabs exposed for the next gore. Let each seam set before continuing.
-
Install dome gore 4
Place G4 over W5; its 34.44 mm lower edge matches that wall exactly. Fold the lower 3 mm tab down behind the wall and glue, pressing from inside. Glue the left meridian of G4 over the three 3 mm tabs on G3, working upward from the equator. Each meridian segment is 23.29 mm; tabs stop 2 mm short of endpoints. Match vertices, not tab tips. Leave the right tabs exposed for the next gore. Let each seam set before continuing.
-
Install dome gore 5
Place G5 over W6; its 34.44 mm lower edge matches that wall exactly. Fold the lower 3 mm tab down behind the wall and glue, pressing from inside. Glue the left meridian of G5 over the three 3 mm tabs on G4, working upward from the equator. Each meridian segment is 23.29 mm; tabs stop 2 mm short of endpoints. Match vertices, not tab tips. Leave the right tabs exposed for the next gore. Let each seam set before continuing.
-
Install dome gore 6
Place G6 over W7; its 34.44 mm lower edge matches that wall exactly. Fold the lower 3 mm tab down behind the wall and glue, pressing from inside. Glue the left meridian of G6 over the three 3 mm tabs on G5, working upward from the equator. Each meridian segment is 23.29 mm; tabs stop 2 mm short of endpoints. Match vertices, not tab tips. Leave the right tabs exposed for the next gore. Let each seam set before continuing.
-
Install dome gore 7
Place G7 over W8; its 34.44 mm lower edge matches that wall exactly. Fold the lower 3 mm tab down behind the wall and glue, pressing from inside. Glue the left meridian of G7 over the three 3 mm tabs on G6, working upward from the equator. Each meridian segment is 23.29 mm; tabs stop 2 mm short of endpoints. Match vertices, not tab tips. This is the final gore: leave both sides of the missing sector above W1 open. Reach through that 34.44 mm-wide equatorial opening to press the final meridian and wall tab; do not glue across it.
-
Static display
The 45-degree open dome sector narrows to the crown and exposes the fixed telescope. Keep on a dry flat surface. Dome and telescope do not rotate. Paper thickness, glue thickness and springback are idealized; actual print/cut/assembly verification is deferred.
Notes
The 3D model shows each piece in its finished, idealized shape; the exploded view only spreads the pieces apart. It is not a paper-physics simulation: curved shapes are forming guides, not exact physical folding or proof of developability, and intermediate fold shapes are not supplied.
- Original static decorative astronomy building; no optics or moving mechanisms.
- Dome is a triangulated polygonal hemisphere, not a stretched spherical sheet. The 45-degree open sector is intentional.
- Each gore unfolds by exact triangle edge lengths; tabs are rigid faces folded onto their receiving surfaces. Thickness and adhesive clearance are idealized.
- Internal diagonal scores in each planar trapezoid are registration lines with zero final bend; only tier and tab creases form the dome.
- Physical printing, cutting and assembly remain pending.