VectorPaint six-face box nets: verify shared edges and opposite faces

English translation of the Chinese original, translated on 2026-11-04. Original publication dates, attribution, code and version notes are retained.

A box net answers different questions from a perspective illustration: it identifies shared edges and folded-face relationships. Draw six equal squares and verify the mapping with a personal paper mockup. This teaching study excludes tabs, material thickness and production allowances and is not a packaging-production file.

Define all six squares and their IDs

Create a 1000 by 800 pixel canvas with four equal squares A–B–C–D in a horizontal row, E above the second square B and F below B. All six have equal side lengths and adjacent faces genuinely share edges without decorative gaps. Record the arrangement beside the drawing and count six faces, checking E/F are not attached to the first or third square. An example side of 160 pixels establishes screen layout only, not actual paper dimensions. Save the undecorated structural baseline so later face names and artwork derive from the same source.

Distinguish the perimeter from five shared edges

Identify five shared edges individually: A/B, B/C, C/D, B/E and B/F. These are folding references, whereas the outer boundary encloses the entire six-square shape; explain line styles in a legend. Separate cell strokes can double shared edges, so inspect overlapping line objects to avoid apparent duplicate cut lines. A graphic line named fold is not automatically recognised by another tool. Establish one clear structural style before assigning purposes, without presenting decorative dashes as validated production creases. This baseline concerns face relationships; fabrication needs additional specifications.

Map folded faces with B as the front

In this layout, define B as front, A left, C right, D back, E top and F bottom. Provide a small spatial reference or written map instead of leaving six letters to interpretation. Verify opposite pairs B/D, A/C and E/F without confusing adjacency with opposition. The mapping depends on this layout and designated front; renaming faces or rotating the paper requires renewed direction explanations. Title it a teaching net rather than claiming this two-dimensional relationship diagram is an automatically generated or dimensionally validated 3D model.

Inspect text and artwork face by face

Initially place distinct simple markers on each face for recognition before complex artwork spanning folds. Text upright in the flat net is not necessarily upright from every folded view; inspect the intended viewing face. Keep IDs clear of folds and decoration clear of structural labels. For a continuous design, record the shared edge and continuation direction before extending it to another face. Flat continuity alone does not establish the intended folded result. Make each face readable before decorative coherence, particularly checking that back face D has not been treated as another right face.

Verify the mapping with a plain-paper mockup

Output a small structural mockup at a scale you have confirmed. Identify six faces and shared edges on paper, then fold this layout into a teaching model. Use any external tool normally; this tutorial provides no production cutting settings. Keep face IDs legible and verify front/back/left/right/top/bottom after folding, then locate their flat sources. Thickness and joining methods affect edges: a gap does not automatically invalidate the mathematical layout, and one successful paper mockup does not validate every material. Record relationship results rather than altering one square’s side to conceal a gap and breaking the equal-face premise.

Recheck adjoining edges after changing an orientation

In a copy, rotate only E’s marker in one direction. Predict its folded orientation relative to the front and check using the mockup. Keeping the square fixed separates artwork orientation from topology. Moving E itself elsewhere requires rechecking whether the layout still forms the intended cube; the old mapping cannot simply be reused. Update written maps and spatial references with any face-ID changes. Restore the final version or save a clearly named alternative so old explanations do not accompany new faces. Net maintenance involves multiple adjoining relationships, and a tidy flat image alone cannot establish folded readability.

Preserve structural sources and state the delivery scope

Keep six squares, IDs, five shared edges and legend in the source. Inspect duplicate lines, the smallest labels and overall proportions in the export. Name six-face teaching net, size and revision; confirm production tabs, materials and process with the actual producer instead of adding a supposedly universal guessed allowance. In transparent output, inspect backing and face fills rather than interpreting white faces as deleted areas. Reopen the final file and compare with mockup records to exclude test rotations and old IDs. Retain the editable source so future artwork changes continue from the verified six-face structure.

Check layout before changing the mapping answer

If D is not at the back, first check the A–B–C–D row, E/F attachment to B, paper side and viewing direction instead of changing the answer. For five or seven faces, inspect hidden or duplicate squares rather than rewriting the legend. Remove actual duplicate fold lines at object level rather than disguising them through uniformly thinner strokes. Separate inverted marker orientation from structural errors and correct from mockup records. Finally recheck six faces, five shared edges, three opposite pairs and the actual view independently. A coherent relationship map supports a reusable teaching net, but it remains distinct from an unverified production template.