Possible Staircase

Six solid treads rise along an open flight without returning to their starting level.

A few lines. An impossible idea.

Click joints to build connected lines. Drag a yellow midpoint to curve a segment; drag a blue joint to reshape adjacent segments. Enter or double-click finishes. Click the first joint to close a path. Shift snaps new points to the grid.

Tip: crisp, connected lines give the clearest clues. Nothing is uploaded to a server.

Reconstruct and inspect in 3D

Inspect closed solid pieces with their exact dimensions, shared vertices and 3D connection equations. Uploads fit visible piece silhouettes; unsupported pictures use surface boundaries. Partial versions omit conflicting pieces or surfaces; possible versions leave incompatible joins disconnected. Your image stays on your device.

Constructed locally from indexed solid primitives by ShapeKeeper. No reference image pixels are used.

Inspect the pieces and their connections

All supplied connections admit a consistent placement of the closed solid pieces.

Rotation preserves each piece's lengths and angles; gaps are not filled with surface patches.

This construction contains 6 solid pieces and 0 named port connections. Select a piece to change its dimensions, drag it to move its connected group, or detach a joint before changing that part independently. The analyzer checks the edited geometry each time; the example name does not determine its verdict.

Each piece is a closed mesh with shared corner or ring vertices. The supplied joins have a consistent placement in three dimensions. Empty regions between pieces are excluded from the mesh.

Read the Possible Staircase drawing guide, then try your own construction in the impossible shapes detector. The reconstruction method explains how solid dimensions, image fitting and connection equations contribute different evidence.

Compare the source view with a rotating model

Reconstruct 3D uses the same physical vertices and faces as the drawing canvas. Front view restores the source projection; the X, Y and Z controls rotate the object about its centre without changing lengths or angles. Download the model as OBJ, or keep editable dimensions and joints with Save assembly. Share, PNG and PDF preserve a result locally.

Raster uploads are fitted from their visible silhouette and colour regions. A recognized complete construction supplies its intended connection rules only after the pixel fit succeeds. Separate fitted primitives remain separate. An unfamiliar picture can leave hidden structure unresolved; see how to inspect an ambiguous drawing.

Compare Possible Open Arch, Penrose Triangle — Solid Beam Study and Impossible Trident / Blivet to examine how different piece arrangements change the joints and openings.

For further editing experiments, open Impossible Trident / Blivet, Impossible Pentagon — Beam Study or Impossible Crate — Cube Variant and compare their closure equations after detaching a connection.