{ "openapi": "3.1.1", "info": { "title": "Maze Maker (Rectangle, Hexagon, Round and Shapes) API", "version": "1.0.0", "summary": "Printable mazes in squares, hexagons or circles, cut to a heart, star or your own shape.", "description": "Every endpoint performs the same calculation as the human page and returns inputs, result, units, assumptions, sources, warnings and computedAt. MCP endpoint: /mcp." }, "servers": [ { "url": "https://printshopmaze.usefulweb.site" } ], "paths": { "/api/v1/calculate": { "post": { "operationId": "calculate", "summary": "Printable mazes in squares, hexagons or circles, cut to a heart, star or your own shape.", "description": "Make printable mazes with square or hexagon cells or round “theta” mazes, optionally cut to a heart, star, circle, diamond, triangle or a shape you draw with # signs. Choose the recursive backtracker (long corridors), Kruskal or Wilson (uniform random) algorithm, up to six mazes per page and answer keys with the solution path.\n\nMethodology:\n- Every shape is a graph of cells whose sides are either shared with a neighbour or part of the outer wall. Square and hexagon grids can be cut to an outline (tested at each cell centre); only the largest connected group of cells is kept. Round mazes have one centre cell and rings whose cell count doubles when cells get wider than two ring heights.\n- The maze is a spanning tree of that graph, so exactly one path joins the entrance (top) and the exit (bottom, or the centre of a round maze). Recursive backtracker = randomised depth-first search (about 10 % dead ends); Kruskal = random walls removed with union–find (about 30 %); Wilson = loop-erased random walks, which pick every possible maze with the same probability.\n- The solution is found by breadth-first search through the open passages and drawn through the cell centres and the middle of each passage.\n\nVery large mazes on small paper get thin walls; check the PNG preview before printing many copies.", "tags": [ "apps" ], "x-mcp-tool": "printshop_maze", "x-owner-app": "printshop", "requestBody": { "required": true, "content": { "application/json": { "schema": { "$ref": "#/components/schemas/PrintshopMazeInput" }, "examples": { "example1": { "summary": "Classic 16 × 20 maze", "value": { "shape": "rect", "cols": 16, "rows": 20, "algorithm": "backtracker", "seed": "maze-1" } }, "example2": { "summary": "Four heart-shaped mazes per page", "value": { "shape": "rect", "cols": 24, "rows": 22, "mask": "heart", "count": 4, "perPage": "4", "seed": "hearts" } }, "example3": { "summary": "Round maze with 14 rings (Wilson)", "value": { "shape": "circle", "rows": 14, "algorithm": "wilson", "seed": "round-1" } } } } } }, "responses": { "200": { "description": "Calculation result envelope.", "content": { "application/json": { "schema": { "$ref": "#/components/schemas/PrintshopMazeResult" } } } }, "400": { "description": "Malformed JSON body.", "content": { "application/problem+json": { "schema": { "$ref": "#/components/schemas/Problem" } } } }, "422": { "description": "Invalid input (see errors[]).", "content": { "application/problem+json": { "schema": { "$ref": "#/components/schemas/Problem" } } } }, "429": { "description": "Rate limit exceeded (see Retry-After).", "content": { "application/problem+json": { "schema": { "$ref": "#/components/schemas/Problem" } } } } } } }, "/api/v1/tool": { "get": { "operationId": "getToolDefinition", "summary": "Inputs, output schema and examples for this tool", "responses": { "200": { "description": "Tool definition.", "content": { "application/json": { "schema": { "type": "object" } } } } } } } }, "components": { "schemas": { "Problem": { "type": "object", "description": "RFC 9457 problem details. 422 responses include per-field `errors`.", "required": [ "type", "title", "status", "detail" ], "properties": { "type": { "type": "string" }, "title": { "type": "string" }, "status": { "type": "integer" }, "detail": { "type": "string" }, "code": { "type": "string" }, "errors": { "type": "array", "items": { "type": "object", "required": [ "field", "message" ], "properties": { "field": { "type": "string" }, "message": { "type": "string" } } } } } }, "PrintshopMazeInput": { "type": "object", "additionalProperties": false, "properties": { "shape": { "title": "Cells", "type": "string", "enum": [ "rect", "hex", "circle" ], "default": "rect" }, "cols": { "title": "Columns", "type": "integer", "minimum": 2, "maximum": 80, "default": 16 }, "rows": { "title": "Rows (rings for a round maze)", "type": "integer", "minimum": 2, "maximum": 80, "default": 20 }, "mask": { "title": "Outline", "type": "string", "enum": [ "none", "heart", "star", "circle", "diamond", "triangle", "custom" ], "default": "none" }, "maskText": { "title": "Own shape (# = inside)", "description": "One text line per row; # marks a cell inside the maze. Columns and rows then come from the drawing.", "type": "string", "maxLength": 8000, "default": "" }, "algorithm": { "title": "Algorithm", "type": "string", "enum": [ "backtracker", "kruskal", "wilson" ], "default": "backtracker" }, "count": { "title": "Number of mazes", "type": "integer", "minimum": 1, "maximum": 24, "default": 1 }, "perPage": { "title": "Mazes per page", "type": "string", "enum": [ "1", "2", "4", "6" ], "default": "1" }, "seed": { "title": "Seed", "description": "The same seed and settings always give the same puzzles. Change it for new ones.", "type": "string", "maxLength": 80, "default": "maze-1" }, "title": { "title": "Title on the page (optional)", "type": "string", "maxLength": 120, "default": "" }, "answers": { "title": "Answer-key pages", "type": "boolean", "default": true }, "header": { "title": "Name and date line", "type": "boolean", "default": true }, "paper": { "title": "Paper size", "type": "string", "enum": [ "a3", "a4", "a5", "a6", "b5", "letter", "legal", "tabloid", "halfletter" ], "default": "a4" }, "orientation": { "title": "Orientation", "type": "string", "enum": [ "portrait", "landscape" ], "default": "portrait" } }, "required": [] }, "PrintshopMazeResult": { "type": "object", "additionalProperties": false, "required": [ "schemaVersion", "tool", "computedAt", "inputs", "summary", "result", "units", "assumptions", "sources", "warnings", "presentation", "links" ], "properties": { "schemaVersion": { "type": "string", "const": "1.0" }, "tool": { "type": "object", "additionalProperties": false, "required": [ "id", "name", "version" ], "properties": { "id": { "type": "string" }, "name": { "type": "string" }, "version": { "type": "string" } } }, "computedAt": { "type": "string", "format": "date-time" }, "inputs": { "type": "object", "description": "Normalised inputs actually used, including applied defaults." }, "summary": { "type": "string" }, "result": { "type": "object", "additionalProperties": false, "required": [ "shape", "algorithm", "mazes", "seed", "pages", "puzzlePages", "answerPages", "pageWidthMm", "pageHeightMm", "warnings", "files", "openInApp" ], "properties": { "shape": { "type": "string" }, "algorithm": { "type": "string" }, "mazes": { "type": "array", "items": { "type": "object", "additionalProperties": false, "required": [ "cells", "deadEnds", "solutionCells" ], "properties": { "cells": { "type": "integer" }, "deadEnds": { "type": "integer" }, "solutionCells": { "type": "integer" } } } }, "seed": { "type": "string" }, "pages": { "type": "integer" }, "puzzlePages": { "type": "integer" }, "answerPages": { "type": "integer" }, "pageWidthMm": { "type": "number" }, "pageHeightMm": { "type": "number" }, "warnings": { "type": "array", "items": { "type": "string" } }, "files": { "type": [ "object", "null" ], "additionalProperties": false, "required": [ "pdf", "svg", "png" ], "properties": { "pdf": { "type": "object", "additionalProperties": false, "required": [ "artifactId", "filename", "mime", "bytes", "sha256", "path" ], "properties": { "artifactId": { "type": "string" }, "filename": { "type": "string" }, "mime": { "type": "string" }, "bytes": { "type": "integer" }, "sha256": { "type": "string" }, "path": { "type": "string", "description": "Download path on the same site (valid for about 2 hours)." } } }, "svg": { "type": "object", "additionalProperties": false, "required": [ "artifactId", "filename", "mime", "bytes", "sha256", "path" ], "properties": { "artifactId": { "type": "string" }, "filename": { "type": "string" }, "mime": { "type": "string" }, "bytes": { "type": "integer" }, "sha256": { "type": "string" }, "path": { "type": "string", "description": "Download path on the same site (valid for about 2 hours)." } } }, "png": { "type": "object", "additionalProperties": false, "required": [ "artifactId", "filename", "mime", "bytes", "sha256", "path" ], "properties": { "artifactId": { "type": "string" }, "filename": { "type": "string" }, "mime": { "type": "string" }, "bytes": { "type": "integer" }, "sha256": { "type": "string" }, "path": { "type": "string", "description": "Download path on the same site (valid for about 2 hours)." } } } } }, "openInApp": { "type": [ "string", "null" ] } } }, "units": { "type": "object", "additionalProperties": { "type": "string" } }, "assumptions": { "type": "array", "items": { "type": "string" } }, "sources": { "type": "array", "items": { "type": "object", "additionalProperties": false, "required": [ "title" ], "properties": { "title": { "type": "string" }, "url": { "type": "string" }, "publisher": { "type": "string" }, "retrievedAt": { "type": "string" }, "note": { "type": "string" } } } }, "warnings": { "type": "array", "items": { "type": "string" } }, "presentation": { "type": "array", "items": { "type": "object" }, "description": "Display blocks used by the human page (same data)." }, "links": { "type": "object", "additionalProperties": false, "required": [ "human", "api", "openapi", "methodology" ], "properties": { "human": { "type": "string", "format": "uri" }, "api": { "type": "string", "format": "uri" }, "openapi": { "type": "string", "format": "uri" }, "methodology": { "type": "string", "format": "uri" } } } } } } } }