Learning path · 180 tutorials
VectorPaint Tutorials: Icons, SVG and Export
Learn shapes, fills and strokes, then edit paths and nodes, organise layers, add gradients and text, and choose SVG, PNG or PDF for delivery.
If vector drawing is new to you, make a small geometric icon before working with paths and nodes. Once object controls feel familiar, combine colour, text and layers in a design exercise.
Choose a tutorial for your task
- Trace an image: Generate paths from clear line art and inspect the result.
- Export a transparent PNG: Check background objects, export settings and final edges.
- Choose SVG, PNG or PDF: Match the format to path editing, image sharing or delivery.
Before delivery, find out whether the recipient needs editable paths or an image to display. SVG and PDF may also contain raster images; an export format does not automatically change the original objects.
Canvas & basic shapes
Start with a small icon and learn dimensions, geometric shapes, fills and strokes.
VectorPaint getting started: build an icon from shapes and export SVG
Start with a small icon made from circles and rectangles to learn canvases, fills and strokes, layer organisation and the choice between SVG and PNG.
VectorPaint canvas sizes: distinguish px, pt, mm and exported pixels
Use a square icon and a small printed card to separate canvas proportions, document units, editor zoom and final PNG pixels, avoiding repeated setup changes.
VectorPaint shape practice: build a little house from rectangles and circles
Draw a house to practise rectangles, ellipses, selection, dimensions, stacking and proportions before moving to complex path editing.
VectorPaint fills and strokes: clear colour areas and consistent lines
Compare fill, no fill, stroke width and opacity on three circles, and understand invisible objects, overly thick lines and mistaken multi-object edits.
Paths & object organisation
Practise curves and nodes, then organise the composition with layers, alignment and guides.
VectorPaint pen tutorial: draw a leaf with a few anchors
Move from a straight-sided triangle to a closed leaf, learning anchors, handles and curve direction while avoiding crowded nodes and kinks.
Edit Bézier nodes in VectorPaint: smooth curves without adding anchors
Use a leaf outline to practise moving anchors, orienting handles and checking corners, separating whole-object distortion from local curve correction.
VectorPaint layers and groups: make complex work easier to select and edit
Organise a small card into background, subject and text layers, learning what layers, groups, overlaps, locking and hiding each do.
VectorPaint alignment and distribution: arrange three button icons
Use three different-width shapes to understand edge alignment, centring and equal distribution, distinguishing centre-to-centre distance from gaps between edges.
VectorPaint grids and guides: composition references for icons and posters
Use grids, snapping and guides to control margins and positions while retaining necessary optical adjustments, and keep guides out of the finished artwork.
Type, colour & assets
Combine text, gradients and masks, and understand the limits of imported images and tracing.
VectorPaint text layout: make a clear event card
Practise content, fonts, size, alignment and empty space through title, explanation and date levels, so the card communicates more than decoration.
VectorPaint text on a path: make a curved text badge
Use a short title and simple arc to practise text along a path, adjusting direction, curvature and length while keeping the text original for later edits.
VectorPaint gradients: give a circle a clear light direction
Begin with a two-colour linear gradient, then compare a radial gradient to understand stops, direction, opacity and readability at smaller sizes.
VectorPaint mask exercise: keep a pattern inside a circular window
Use three colour shapes and a circle to practise clipping, masks, stacking and raster boundaries without mistaking a crop for vectorisation.
Import SVG into VectorPaint: inspect structure before editing paths and colours
Check a simple SVG import, distinguishing paths, text, raster images and masks rather than treating the extension as a guarantee of complete editability.
VectorPaint image tracing: turn clear line art into editable paths
Trace a black-and-white leaf silhouette, compare threshold, colour count and previews, and understand the trade-off between photo quantisation and path complexity.
Export & complete projects
Choose a delivery format, finish icon and poster exercises and keep an editable original.
VectorPaint transparent PNG: remove the white background and check edges
Use a single-colour icon to check transparency, solid background objects and final pixels, then inspect the export on both dark and light backgrounds.
Choose VectorPaint export formats: SVG, PDF, PNG and editable originals
Choose a format for further editing, webpage display or document delivery, explaining the limits of raster images, text and transparent backgrounds.
VectorPaint project: design a monochrome mountain icon that reads small
Build a mountain icon around silhouette, negative space and line width, then check recognition at 32, 64 and 128 pixels.
VectorPaint project: a creative-event poster with geometric colour and text
Organise a portrait poster into title, main artwork and information areas, combining shapes, gradients, alignment and text in one complete exercise.
Save and back up VectorPaint originals: find the editable file next time
Use clear filenames, original-file copies and restore checks to record a project, distinguishing undo, versions, recently deleted items and independent backups.
Graphic families
Create weather icons, route maps, repeating patterns and signs with a consistent visual language.
VectorPaint weather icons: balance sun, cloud and rain at one visual size
Create three weather icons using a shared baseline, line width, outer bounds and small-size previews to establish consistent visual rules.
VectorPaint route diagram: explain directions with paths, stops and a legend
Use a simplified walking route to practise paths, numbered stops, text and a legend, making the information sequence easier to read than the decoration.
VectorPaint repeating patterns: check a tile’s four edges by hand
Start from a square tile, manually duplicate leaves and dots, check opposite-edge correspondence and use a nine-tile preview to spot seams.
VectorPaint wayfinding: make consistent signs for three spaces
Use fictional reading, exhibition and rest areas to practise shared arrow, text and symbol rules, checking readability from a distance and at small sizes.
VectorPaint geometric portrait: describe features and hair with a few shapes
Build a geometric portrait from the head outline, hairstyle and facial features, controlling symmetry, overlap and recognition at small sizes.
Illustration & information
Use greeting cards, cartons, bar charts, timelines and step diagrams to explain an idea.
VectorPaint botanical greeting card: a leafy border with room for text
Arrange branches around a short greeting, practising curve direction, varied repetition, border density and text space to finish a botanical card.
VectorPaint box illustration: build consistent perspective from three planes
Draw a box’s top, left and right faces with the pen, use shared vertices and values for volume, then check gaps and distortion along the edges.
VectorPaint bar chart: keep lengths, numbers and units consistent
Draw a three-item bar chart manually, calculate lengths to one scale and check the zero baseline, labels and data source to avoid misleading graphics.
VectorPaint timeline: arrange five stages with descriptions of different lengths
Make a five-stage project timeline, distinguish sequence diagrams from time-scaled layouts, and handle varied descriptions, node spacing and later updates.
VectorPaint three-step diagram: explain a process through continuous action
Illustrate watering in three panels, keeping object positions and proportions consistent while using numbers, changed actions and short text to explain the process.
Type & colour practice
Compare wordmark spacing, bilingual hierarchy, contour lines, transparent colour and product cards.
VectorPaint wordmark spacing: adjust the visual rhythm of a short name
Compare default spacing, overall tracking and local gaps for a short name, keep the editable text and check small-size and reversed-out versions.
VectorPaint bilingual titles: balance Chinese, English and supporting information
Use a Chinese–English event title to practise hierarchy, apparent type size, line spacing and alignment rather than matching font-size numbers mechanically.
VectorPaint contour-style illustration: organise spacing with open curves
Draw contour-like curves by hand, practising open paths, node direction, line spacing and cropping in an abstract terrain illustration.
VectorPaint two-colour overlaps: compare opacity and stacking order
Use two coloured shapes and a fixed background to compare object opacity, overlapping areas and front-to-back order in an explainable colour study.
VectorPaint product cards: expand one reusable layout into a series
Make three fictional product cards, handling different name lengths, specifications, prices and image areas, then check for old information left after duplication.
Applications & delivery
Check designs as wallpaper, avatars, stickers and print samples, then organise logo deliverables.
VectorPaint phone wallpaper: leave room for time, icons and the main image
Match the target phone’s proportions, reserve lock-screen time and home-screen icon areas, and preview actual wallpaper settings to check cropping, contrast and subject placement.
VectorPaint avatar adaptation: check circular crops and square previews
Make square and circular checks of the same avatar, identify cropped head, shoulder and decoration areas, and preserve consistent margins and a clear small-size silhouette.
VectorPaint sticker illustration: draw a white backing and check transparent edges
Build a white backing outline by hand, handling inward corners, narrow gaps and transparent edges, and distinguish a visual sticker border from a print cut line.
VectorPaint small-print checks: verify size and fine lines in a PDF proof
Prepare a PDF proof for a small card, check document units, physical size, text, fine lines and trim bounds, then confirm production requirements with the printer.
VectorPaint logo delivery: check light, dark and small-size versions
Organise an editable original, SVG and PNG for a finished logo, check colour, transparency, text and small-size rendering, and explain the purpose of each file.
Information & layouts
Create tickets, editorial covers, menus, comparison sheets and flowcharts with clear information hierarchies.
VectorPaint event tickets: separate the main ticket, stub and check-in details
Design a fictional reading-event ticket with a clear hierarchy, trim margins and checked serial numbers, while retaining editable text.
VectorPaint editorial covers: arrange a title, introduction and issue number
Build a fictional editorial cover with long titles, a masked image, margins and issue details, checking thumbnail and full-size readability.
VectorPaint café menus: align names, descriptions and prices
Practise price columns, long item names, categories and update checks with a fictional café menu, keeping text editable.
VectorPaint comparison sheets: show three options in consistent columns
Make a fictional comparison sheet with consistent criteria, rows, columns and notes, then inspect headers, units and exported small text.
VectorPaint decision flowcharts: keep conditions and arrows consistent
Draw a fictional file-organising flow with decision nodes, labels and a loop, then walk through every path and inspect its connections.
Space & components
Use room layouts, exploded diagrams, vehicles, ribbons and clock faces to practise references, stacking and repeated objects.
VectorPaint room layouts: inspect furniture and routes in a top view
Draw a fictional studio in top view with walls, a door swing, furniture and a legend, distinguishing an illustration from measured construction drawings.
VectorPaint exploded diagrams: explain three layers with alignment and leaders
Draw an exploded fictional organiser with a shared axis, consistent gaps, leaders and part names, keeping illustration separate from assembly precision.
VectorPaint delivery vans: unify wheels and windows through repeated shapes
Draw a fictional delivery van with rectangles, ellipses and a few paths, checking wheel spacing, overlaps, windows and the small-size silhouette.
VectorPaint folded ribbons: show folds through stacking
Draw the front, folds and tails of a ribbon, using values and overlap to show folding while checking seams and room for lettering.
VectorPaint clock faces: check ticks, numerals and hands manually
Draw a static clock illustration, using a centre reference, tick checklist and chosen time to verify its geometry.
Curves & silhouettes
Draw fish, feathers, sailboats, lanterns and bicycles while controlling nodes, direction, gaps and detail density.
VectorPaint fish silhouettes: separate body, tail and negative space
Draw a fish silhouette with controlled Bézier curves, fin directions and gaps, then inspect recognition at a smaller size.
VectorPaint feather curves: coordinate the shaft, edge and details
Draw a simplified feather with a curved shaft, controlled edge notches and restrained detail, keeping the overall direction clear.
VectorPaint sailboats: connect mast, sails and hull through shared points
Draw a simplified sailboat, coordinating mast, triangular sails, hull and waterline with consistent overlaps and wind direction.
VectorPaint paper lanterns: suggest rounded surfaces with curves and values
Draw a paper lantern’s outline, ribs and tassel with a small value range, checking curved form and reduced-size linework.
VectorPaint bicycle linework: use wheel centres and triangular relationships
Draw a simplified bicycle side view with matched wheels, coherent frame joins and consistent line weight.
Adaptation & maintenance
Check small icons, image ratios, SVG rendering and font appearance, then organise editable sources and backups.
VectorPaint optical icon corrections: inspect 16, 32 and 64 pixel output
Compare one geometric icon at three export sizes, adjusting thin strokes, gaps and optical weight while keeping separate editable versions.
VectorPaint photo-frame variants: mask one image for landscape, square and portrait
Adapt one owned image to three static aspect ratios, independently adjusting crops and text space while checking subject visibility, transparency and raster quality.
VectorPaint SVG compatibility checks: isolate missing images, masks and gradients
Keep the original and isolate images, text, masks and gradients in small diagnostic copies to compare SVG rendering in the target environment.
VectorPaint font substitution checks: retain editable text and verify delivery appearance
Use a bilingual test card to inspect missing glyphs, wrapping and font availability, separating editable text, outlined copies and image previews.
VectorPaint project reviews: use groups, tags and favourites to find editable versions
Organise drafts, candidates and delivered artwork with clear names and explicit editable backups, then verify retrieval and recovery sources.
Practical record layouts
Create recipe records, checklists, score sheets, paired flashcards and seating plans, checking fields and identifiers.
VectorPaint recipe records: separate quantities, sequence and serving notes
Lay out a homemade drink record, checking yield, units, step order and revisions alongside its illustration.
VectorPaint printable checklists: align boxes, tasks and writing space
Make a fictional photo-preparation checklist with aligned boxes, groups and room for handwriting, distinguishing static artwork from an interactive form.
VectorPaint board-game score sheets: align rounds, players and totals
Design a fictional game score sheet with player columns, round rows and handwritten totals, checking rules and blank-template integrity.
VectorPaint paired flashcards: match prompts, answers and identifiers
Make six fictional study cards with separate prompt and answer layouts, checking identifiers, orientation and printed pairing.
VectorPaint seating plans: match rows, seats and intentional gaps
Draw a fictional small-screening seating plan with repeated shapes, identifier lists and clear aisles, without implying a booking system.
Relationships and data
Use sets, shares, areas, matrices and hierarchies to verify data scope, geometry and legends.
VectorPaint set diagrams: match overlap regions to membership
Draw two sets with fictional entries, checking intersection, exclusive regions and a legend without treating colour blending as calculation.
VectorPaint share charts: verify percentages through four equal quadrants
Construct an example 50/25/25 share chart from equal quadrants and verify geometry, labels and scope.
VectorPaint area comparisons: calculate side lengths before arranging 1, 4 and 9 units
Build areas of 1, 4 and 9 from unit squares, separating side length from area and checking labels and scope.
VectorPaint heatmap matrices: apply one fixed scale to comparable data
Draw a fictional practice-time matrix with explicit scope, missing values and a fixed scale, then audit cells against the legend.
VectorPaint hierarchy charts: distinguish parents, peers and collaboration
Draw a fictional volunteer-team hierarchy with consistent nodes and connectors, checking names, roles and revision scope.
Structure and scenes
Build detail callouts, paper-cut scenes, woven strips, origami cranes and day/night diptychs with coherent structure.
VectorPaint detail callouts: match enlarged areas to their source
Create a detail window from an owned illustration, checking source markers, leaders and consistent content without altering its meaning.
VectorPaint paper-cut landscapes: build depth with silhouettes and gaps
Draw a paper-cut-style valley with controlled silhouettes, colours and gaps, inspecting edges and stacking.
VectorPaint woven strips: verify alternating over-and-under crossings
Construct two sets of three woven strips with a crossing checklist and segmented stacking, checking continuity and seams.
VectorPaint origami cranes: distinguish wings, neck and tail through folded planes
Draw a fictional origami crane with a few polygons, checking shared points, plane values and silhouette without presenting it as folding instructions.
VectorPaint day-and-night diptychs: preserve geometry while changing light and colour
Make day and night versions of one window scene, retaining geometry while comparing values and shared elements.
Output and content adaptation
Check gradient proofs, cast shadows, subtitle backplates, folded leaflets and monochrome versions in their intended uses.
VectorPaint gradient proof sheets: compare banding, transparent ends and real display
Build equal-size gradient proofs to inspect stop positions, transparency and export dimensions, recording differences in the target environment.
VectorPaint cast-shadow studies: align objects, contact points and shadows
Arrange manual shadows for three geometric objects under one chosen light direction, checking contact, distortion and emphasis.
VectorPaint subtitle backplates: allow for long lines, credits and contrast
Design static subtitle backplates and credit bars, testing wording and backgrounds at the actual aspect ratio while separating graphics from timing.
VectorPaint folded leaflets: verify cover, inside and back with a paper mockup
Practise panel order, orientation and fold margins in a fictional two-sided leaflet, validating the reading path with a paper mockup.
VectorPaint monochrome proofs: translate colour meaning into text and shape
Create an independent monochrome version of a colour diagram, checking legend, line styles, fills and small text while preserving both sources.
Graphic rules and visual expression
Use geometric puzzles, mazes, dialogue balloons, compass roses and negative space to check rules, directions and shared boundaries.
VectorPaint seven-piece puzzles: fix the pieces before checking a silhouette
Create an original seven-piece geometric puzzle, auditing its piece list, overlaps and gaps while keeping the target and solution distinct.
VectorPaint static mazes: verify routes before refining walls and exits
Draw a small grid maze and audit its entrance, exit and dead ends, retaining separate prompt and solution outputs.
VectorPaint dialogue balloons: connect tails, reading order and speakers
Arrange three balloons in an original two-person scene, checking speaker identity, tail direction, wrapping and occlusion.
VectorPaint compass roses: check directions, symmetry and label orientation
Draw an eight-direction decorative compass, verifying cardinal and diagonal labels while separating illustration from navigation.
VectorPaint reversible negative space: check a shared vase-and-profile boundary
Design a shared boundary between a vase and two profiles, checking both figures at multiple sizes without automatic recognition.
Continuity and graphic families
Build word squares, action lines, line charts, expression families and continuous spine artwork while preserving content-to-graphic correspondence.
VectorPaint small word squares: check row words, column words and blanks
Draw a three-by-three word square and audit letters, blanks and solution versions without assuming automatic generation or dictionary validation.
VectorPaint action speed lines: coordinate direction, density and subject space
Add manual speed lines to an original skateboard scene, checking motion, convergence, clear faces and noise after reduction.
VectorPaint manual line charts: plot coordinates before connecting one dataset
Use five fictional observations to practise equal x-spacing, a zero-based y-axis and verified point-to-point connections.
VectorPaint expression families: keep the character structure while changing features
Create three cartoon expressions from one original head, recording fixed and variable features and checking identity across versions.
VectorPaint continuous book spines: check artwork and titles against volume widths
Create continuous spine artwork for three fictional volumes, recording widths, slice ranges and shelf order and checking both individual and combined views.
Data and rule graphics
Use scatterplots, cumulative waterfalls, task intervals, a windowed dial and cyclic overlaps to check values, states and stacking relationships.
VectorPaint scatterplots: map every point to two values
Draw five fictional observations, checking both coordinates, overlapping points and labels without turning IDs into a time series.
VectorPaint cumulative waterfalls: connect floating changes to successive totals
Draw a start of ten units and three changes, checking floating-bar endpoints, signs and the final total of eleven.
VectorPaint task-interval charts: verify duration and overlap through endpoints
Draw a static Gantt-style chart for three fictional tasks, checking boundaries, lengths and explicit resource-overlap assumptions.
VectorPaint windowed dial studies: align a fixed aperture with rotating choices
Design a static four-choice paper dial, checking a shared centre, aperture and four rotational states without automatic interaction.
VectorPaint cyclic-overlap triangles: control three crossings with local segments
Build a decorative triangle with A over B, B over C and C over A, distinguishing whole-object stacking from local segment treatment.
Structure and component checks
Build stencil bridges, hidden-edge wireframes, a zipper, board positions and a six-face net, checking components, coordinates and adjacency.
VectorPaint stencil bridge studies: connect internal islands to surrounding material
Draw a ring-letter stencil concept, checking islands, bridges and legibility while distinguishing colour mockups from real cutting paths.
VectorPaint wireframe boxes: distinguish visible edges, hidden edges and shared vertices
Draw an eight-vertex, twelve-edge box manually, checking solid and broken edges under one defined view without automatic 3D visibility.
VectorPaint zipper illustrations: check staggered teeth, open/closed regions and slider occlusion
Use simplified geometry for a zipper detail, checking tooth rhythm, open-to-closed transitions and slider stacking without production claims.
VectorPaint invented board diagrams: audit pieces through coordinates and states
Draw a fictional four-by-four board and two moves, checking coordinate orientation, piece counts and endpoints without a game engine.
VectorPaint six-face box nets: verify shared edges and opposite faces
Draw a six-square net with four in a row and one above/below the second, checking fold edges, labels and a paper-model mapping.
Curves and articulated structures
Draw a butterfly, articulated lamp, umbrella, cup cutaway and horse-head piece, checking contours, attachments and openings.
VectorPaint butterfly wings: start with a mirrored framework and retain deliberate differences
Build a butterfly around one body axis and paired wing roots, distinguishing structural symmetry, pattern differences and text that should not be mirrored.
VectorPaint articulated desk lamps: connect arms through pivots to the shade
Build a side-view lamp with three joints, two arms and a shade, checking connections and light direction when its pose changes.
VectorPaint open umbrellas: connect ribs, panels and shaft through one apex
Draw a simplified oblique umbrella, checking apex-to-rim ribs before panel colours and shaft occlusion.
VectorPaint cup cutaways: distinguish walls, cavity and handle opening
Construct a cup with part of its front wall removed, checking rim, side walls, base and handle without treating white overlays as real holes.
VectorPaint horse-head chess silhouettes: preserve forehead, muzzle and neck through contour turns
Design an original horse-head chess piece, establishing forehead, muzzle, ear and neck in one colour before checking base attachment and small-size recognition.
Repetition and correspondence rules
Use line gratings, two-flag codes, paired stair views, region colouring and sixfold rosettes to audit repetition, adjacency and correspondence.
VectorPaint paired line gratings: inspect moiré and export differences in static overlays
Build an equally spaced line source, rotate only one layer and distinguish overlay relationships from changes introduced by scaled display.
VectorPaint invented two-flag cards: audit sixteen combinations through rows and columns
Give each of two flag positions four directions to build sixteen cells, checking position, IDs and sources without claiming an established semaphore standard.
VectorPaint three-step paired views: map plan treads to side-view heights
Construct plan and side views of three invented-unit steps, checking shared horizontal boundaries, three rises and direction without construction claims.
VectorPaint fictional region colouring: check colours through shared-edge adjacency
Draw four main regions and an enclave, distinguish shared edges from corner contact and audit colours against an adjacency list.
VectorPaint sixfold rosettes: audit rotational symmetry around one centre
Build a sixfold window rosette from one original motif within a sixty-degree sector, checking pivot, copy count and frame clipping.
Symbols and continuous structures
Build seven-segment digits, accordion strips, chain links, helices and ruler scales, checking positions, joins and repeat spacing.
VectorPaint seven-segment cards: audit lit segments for digits zero to nine
Build seven independent segments and check ten digit combinations, unlit segments and reduced output without treating static cards as an electronic display.
VectorPaint accordion strips: maintain alternating folds and panel continuity
Build a four-panel, three-fold static strip and compare opening states without mistaking projected width for material stretching.
VectorPaint three-link chains: preserve openings and two interlocking joins
Use three open-centred rings and local foreground sections, checking both crossings per join without moving an entire ring forward to conceal errors.
VectorPaint threaded-rod studies: join front and rear half-turns at one pitch
Illustrate a continuous helix with an invented pitch, distinguishing front half-turns from rear dashes without claiming real thread specifications.
VectorPaint ruler strips: align major ticks, subdivisions and labels
Make a static 0–5 invented-unit scale, checking five intervals, six boundaries and ten subdivisions per unit without claiming a calibrated instrument.
Quantity and spatial rules
Use histogram bins, flow bands, globe grids, pip tiles and Latin squares to audit boundaries, quantities, directions and row/column constraints.
VectorPaint equal-bin histograms: assign boundary values before drawing counts
Bin eight invented values into three equal intervals, checking single assignment at boundaries, total counts and neighbouring bar widths.
VectorPaint split-flow bands: preserve the width relation twelve equals five plus seven
Draw one input and two outputs in invented units, checking straight widths of 120, 50 and 70 pixels without treating curves as an automatic flow model.
VectorPaint globe wireframes: fix an equatorial view before separating front and rear arcs
Construct a simplified equatorial globe with a circle, straight equator and meridian arcs rather than mixing incompatible viewpoints.
VectorPaint invented domino chains: match adjoining counts and flipped orientations
Build a four-tile chain 1–3–2–0–1, checking half counts, touching ends and twelve total pips.
VectorPaint order-four Latin squares: check one to four in every row and column
Place sixteen numbers manually, verify 1–4 in each row/column and use a swap test to show why one-row checks are insufficient.
Spatial construction and object connections
Use a one-point corridor, ellipse foci, equal-pulley belt, four-hole thread and hinged-lid poses to check direction, tangency and attachment.
VectorPaint one-point corridors: give receding lines one vanishing point
Build a corridor from front and rear rectangles, checking receding edges, verticals and floor seams without treating equal screen spacing as equal real distance.
VectorPaint ellipse-focus diagrams: distinguish semiaxes and the two focal distances
Construct a 5–3–4-unit ellipse and audit semiaxes, foci and two distance-sum checks without claiming precision from approximate dragging.
VectorPaint equal-pulley belts: join common tangents to outer semicircles
Draw an outer belt centreline around equal, level circles, checking tangencies, straight spans and outer semicircles without mechanical-design claims.
VectorPaint four-hole stitching diagrams: distinguish holes, front thread and rear thread
Draw an alternating front/rear route through four fixed holes, checking side changes and continuity without treating pale overlays as actual holes.
VectorPaint hinged boxes in three poses: keep the hinge fixed as the lid changes direction
Compare closed, diagonal and upright side-view lids, checking a shared pivot, lid length and fixed body without claiming motion simulation.
Quantity, logic and paths
Build unit pictograms, truth cards, medians, fraction walls and weighted routes, checking units, conditions, ratios and candidates.
VectorPaint unit pictograms: represent odd quantities with whole and half symbols
Let each circle represent two items and use invented values 5,8,3 to audit half symbols, legends and counts.
VectorPaint AND/OR/NOT cards: map four inputs to three outputs
Use zero/one for false/true and audit NOT P, P AND Q and inclusive OR, separating input cases from output evaluation.
VectorPaint triangle medians: check midpoints and the two-thirds centroid position
Calculate side midpoints and centroid from three vertices, then draw medians without confusing different triangle centres.
VectorPaint fraction walls: compare halves, thirds, quarters and sixths against one whole
Keep every row 720 pixels wide and check denominators, cell widths and equivalent halves without confusing row/cell count with area.
VectorPaint five-node weighted routes: sum edge weights before comparing paths
Draw an invented undirected five-node/seven-edge graph, enumerate simple routes and check minimum total weight without reading distance from line length.
Object connections and unfolding
Connect book pages, bridge components and paired gears, then check a cylinder unfolding and shared-pivot scissors states.
VectorPaint open-book illustrations: connect the spine, pages and fanned edges
Establish a shared spine, then inspect page surfaces, layered edges and text direction without turning pages into disconnected fan blades.
VectorPaint suspension-bridge diagrams: connect cables, hangers and deck
Build component relationships with manual curves and verticals, checking endpoints and occlusion without treating an illustration as structural calculation.
VectorPaint paired-gear diagrams: face teeth toward gaps and mark opposite rotation
Make a static illustration of equal external gears, distinguishing teeth, gaps, contact region and direction arrows without promising manufacture or interference-free operation.
VectorPaint cylinder-side unfolding: distinguish circumference, diameter and seam allowance
Match an original cylinder to its side rectangle, checking direction, circumference and height while identifying approximations and additional seam allowance.
VectorPaint three scissors poses: relate blades and handles around one pivot
Construct opening states from two separate components, checking a shared pivot, handle/blade ownership and outlines without assuming a hidden rotation-centre command.
Number encodings and constrained graphics
Build stem-and-leaf displays, abacus cards, a nonogram, a replacement-draw tree and equal-perimeter rectangles, checking encoding and conditions.
VectorPaint stem-and-leaf displays: preserve tens, units and repeated values
Arrange eight invented integers as a stem-and-leaf display and reconstruct them through a key, sorting and repetitions without assuming an automatic statistics control.
VectorPaint abacus place-value cards: map one-five and four-one beads, including zero columns
Draw three-column abacus states under an explicit bead convention, checking 305, 350 and a carry transition without claiming interactive calculation.
VectorPaint five-column nonograms: match run-length clues to filled cells
Check runs, blanks and row/column clues in an original four-by-five puzzle, manually verifying its unique result without an automatic solver.
VectorPaint two-draw probability trees: connect replacement assumptions to four paths
Lay out branches for an invented two-red/one-blue model and recalculate path weights and grouped events without treating the diagram as an automatic random experiment.
VectorPaint equal-perimeter rectangles: check boundary length separately from area
Compare invented two-by-eight, four-by-six and five-by-five rectangles with equal perimeter and different areas, preserving one shared unit scale.
Outlines, structures and unfolding
Check nested tubes, envelope layers, ginkgo branching, chambered shells and cone nets through overlaps, boundaries and correspondence.
VectorPaint three-tube telescopes: check overlap and exposed length
Build retracted and extended tube diagrams, checking diameters, seams and exposed lengths without treating outlines as mechanical constraints.
VectorPaint envelopes and inserts: align the pocket, flap and occlusion
Draw pocket, insert and flap separately, checking insertion depth and open/closed states through visible boundaries without claiming a physical paper pattern.
VectorPaint ginkgo leaves: retain fan outlines and forked veins
Build a fan from its petiole attachment, arrange branching veins and a variable notch, then check outline and line density at reduced size.
VectorPaint nautilus sections: distinguish partitions, chambers and the outer opening
Arrange coiled walls and chambers in a partial outer-whorl section without substituting golden-ratio claims or fixed chamber counts for morphology checks.
VectorPaint cone nets: distinguish slant height, sector arc and base circle
Calculate a sector angle for an invented right cone, checking its arc against base circumference without using vertical height as the sector radius.
Geometric construction and discrete rules
Build bisectors, coordinate transforms, box plots, edge-once trails and Pascal triangles, independently checking each condition.
VectorPaint perpendicular bisectors: check equal-radius intersections and midpoint
Construct intersecting equal-radius circles for a horizontal segment and check the line through both intersections, excluding a degenerate single-point contact.
VectorPaint translation and reflection: check each vertex coordinate and orientation
Translate and reflect one asymmetric triangle, using vertex labels and lengths to distinguish a fixed-vector shift from a vertical-axis reflection.
VectorPaint box plots: declare quartile and whisker conventions first
Calculate a five-number summary for eight invented values, plot box and whiskers on one axis, and distinguish extreme-value whiskers from outlier conventions.
VectorPaint each-edge-once trails: distinguish revisited vertices from repeated edges
Check a complete trail on a five-edge undirected graph against an edge list, distinguishing repeated vertices from repeated edges.
VectorPaint five-row Pascal triangles: check adjacent sums and row totals
Arrange fifteen entries from the top row and check boundary ones, adjacent sums and five row totals without assuming automatic formula generation.
Arcs and dissection constructions
Construct Reuleaux arcs, an Archimedean spiral, two-round triangular cutouts, a three-four-five square and a shear dissection, checking arcs, areas and coordinates.
VectorPaint Reuleaux triangles: distinguish constant width from a circle through three equal-radius arcs
Construct a three-arc boundary from an equilateral triangle, checking radii, minor arcs and parallel supports while preserving manual-drawing precision limits.
VectorPaint Archimedean spirals: increase angle and radius under one rule
Draw two turns from nine specified samples,checking radial increase per turn and open endpoints without claiming an exact analytic path from smoothing.
VectorPaint two-round triangle removal: check four holes and nine retained triangles
Remove central midpoint triangles in two rounds,checking holes,retained pieces and area fractions separately without automatic fractal generation.
VectorPaint three-four-five square dissection: check outer49 and central25
Arrange four3-by4 right triangles in a side7 square,checking the central quadrilateral and areas rather than treating subtraction alone as shape proof.
VectorPaint parallelogram dissections: fix base and perpendicular height before area
Translate a left triangle to fill the right gap,checking area24 while distinguishing slant side,perpendicular height and bounding box.
Projections, networks and steps
Build unit-circle projections, factor trees, dependency graphs, a Gray-code cycle and an empirical distribution, declaring signed components, multiplicity, precedence and endpoint conditions.
VectorPaint unit-circle projections: distinguish sine height from screen y
Check six angle samples,vertical-axis projections and signs under one unit scale without treating projected height as a changed radius.
VectorPaint factor trees for seventy-two: retain repeated primes and the leaf product
Compare two decompositions through parent products and five final leaves,distinguishing internal nodes,primes and exponent notation.
VectorPaint dependency diagrams: match arrows to feasible orders
Record direct prerequisites for five fictional tasks,checking two feasible orders and a cycle counterexample without assuming automatic scheduling.
VectorPaint three-bit Gray-code cycles: check one-bit neighbours and closure
Arrange eight fixed-width codewords in a cycle,checking changed positions edge by edge and distinguishing indices,labels and ordinary binary counting.
VectorPaint empirical cumulative steps: preserve duplicate jumps and endpoint inclusion
Define the fraction of five observations no greater than x,checking right-continuous steps and a repeated-two jump without interpolation or automatic statistics.
Object connections and sectional diagrams
Use nib, calendar, nut, hourglass and paper-staple diagrams to check openings, pairing, cavities and sectional conventions.
VectorPaint nib diagrams: join the central slit to the hole and paired tines
Draw an axial nib and connected slit, distinguishing metal, hole and tip without turning decorative lines into repair or manufacturing specifications.
VectorPaint three-ring desk calendars: thread page holes above a coherent stand
Check three hole/ring pairs, page-turn occlusion and a triangular stand, using invented page labels rather than an unverified real calendar.
VectorPaint hex-nut diagrams: separate six-sided outline, circular hole and section convention
Construct a six-sided face and centred hole, then a separately labelled schematic section without manufacturing threads.
VectorPaint hourglass schematics: connect two bulbs through one neck
Separate glass outline, connected cavity and sand piles, checking a stationary state without inferring timing accuracy or granular flow.
VectorPaint staple sections: align crown, two legs and underside bends
Trace two legs through paper in a direction-labelled vector section, retaining hidden scope without real stapling or repair instructions.
Discrete counting and geometric rules
Construct honeycomb cells, Koch segments, a parabola, a minimum spanning connection and a magic square, independently checking edges, lengths, distances, weights and constraints.
VectorPaint seven-cell honeycombs: distinguish side occurrences from unique edges
Arrange a centre and six neighbours manually, checking twelve shared and thirty unique edges rather than counting overlapping strokes.
VectorPaint one-step Koch paths: separate a 300-unit chord from a 400-unit route
Replace a line with four equal segments, checking open endpoints, angles and finite length without claiming an infinite snowflake.
VectorPaint parabola diagrams: compare focus distance and perpendicular directrix distance
Check the focus/directrix definition with five samples and a wrong point, retaining canvas mapping and manual-curve precision limits.
VectorPaint minimum spanning connections: cover five nodes before comparing four-edge totals
Draw an undirected weighted graph, separating all-node connection from a shortest route and checking candidate totals ten and thirteen.
VectorPaint order-three magic squares: check nine unique values and eight sums of fifteen
Place one through nine and check three rows, three columns and two diagonals, using a changed-cell control to separate totals from positional constraints.
Wire, hinges and passages
Use paperclip, buckle, compass, watering-can and single-pulley diagrams to check continuous paths, holes, shared hinges and passages.
VectorPaint paperclip paths: trace three turns between two endpoints
Arrange three turns, parallel spacing and two endpoints on one open path, separating wire from surrounding gaps.
VectorPaint buckle diagrams: match tang, strap hole and returning tail
Manually construct a rectangular frame, hinged tang and returning strap, separating a through-hole from a surface dot.
VectorPaint compass states: share a hinge and preserve needle/pencil identities
Draw open and narrower compass states, matching hinge, legs and tips while distinguishing static construction from mechanical simulation.
VectorPaint watering-can sections: connect cavity, spout and outlet
Draw walls, reservoir, spout passage and fill opening separately, checking continuity without fluid simulation.
VectorPaint single-pulley rope routes: join two straight runs through one upper semicircle
Draw wheel, axle, support and an open rope route, checking tangency and occlusion without load analysis or lifting instructions.
Distance, tilings and cycles
Construct a trapezoid, two triangle circles, nearest-site regions, domino tilings and modulo-eight cycles, independently checking areas, distances, coverage and return counts.
VectorPaint right trapezoids: distinguish a length-five midsegment from areas nine and eleven
Construct a trapezoid from vertices and leg midpoints, checking area twenty and why the midsegment does not bisect its area.
VectorPaint 3–4–5 triangles: check circumcircle vertices and incircle sides separately
Draw both centres for one triangle, checking circumradius 2.5, inradius 1 and tangency locations.
VectorPaint nearest-site regions: retain only genuine shared equidistance boundaries
Manually draw Euclidean nearest-site regions, checking valid bisector rays, the triple-equidistance point and ties.
VectorPaint 2×3 domino tilings: fix six cells and enumerate three layouts
Draw three two-cell dominoes on fixed equal cells, using the upper-left cell to enumerate three complete nonoverlapping tilings.
VectorPaint modulo-eight clocks: compare step-three coverage with two step-two cycles
Draw fixed residues zero through seven and directed jumps, checking first return times and distinguishing chord crossings from nodes.