diff --git a/package-lock.json b/package-lock.json
index ddddd03..f4bc585 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -18,7 +18,7 @@
"@emotion/styled": "^11.11.0",
"@mat3ra/ade": "2026.8.18-0",
"@mat3ra/code": "2026.8.18-0",
- "@mat3ra/cove": "https://github.com/mat3ra/cove/releases/download/wip-3374a52/cove.tgz",
+ "@mat3ra/cove": "2026.8.19-4",
"@mat3ra/esse": "2026.8.18-2",
"@mat3ra/ide": "2026.8.18-0",
"@mat3ra/made": "2026.8.18-0",
@@ -26,7 +26,7 @@
"@mat3ra/prode": "2026.8.18-0",
"@mat3ra/standata": "2026.8.18-0",
"@mat3ra/tsconfig": "^2024.6.3-0",
- "@mat3ra/wave.js": "https://github.com/mat3ra/wave.js/releases/download/wip-1bd0a38/wave.js.tgz",
+ "@mat3ra/wave.js": "2026.8.19-0",
"@mat3ra/wode": "2026.8.18-0",
"@mui/icons-material": "^5.11.9",
"@mui/lab": "^5.0.0-alpha.120",
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}
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- "license": "MIT",
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- },
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- },
- "funding": {
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- },
- "peerDependencies": {
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- "node_modules/@eslint-community/eslint-utils/node_modules/eslint-visitor-keys": {
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- "license": "Apache-2.0",
- "peer": true,
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- },
- "funding": {
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- "node_modules/@eslint-community/regexpp": {
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- "debug": "^4.3.2",
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- "js-yaml": "^4.1.0",
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- "strip-json-comments": "^3.1.1"
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- "node_modules/@eslint/eslintrc/node_modules/ajv": {
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- "resolved": "https://registry.npmjs.org/ajv/-/ajv-6.15.0.tgz",
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- }
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- "resolved": "https://registry.npmjs.org/json-schema-traverse/-/json-schema-traverse-0.4.1.tgz",
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- "dev": true,
- "license": "MIT",
- "peer": true
- },
- "node_modules/@eslint/js": {
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- "resolved": "https://registry.npmjs.org/@eslint/js/-/js-8.57.1.tgz",
- "integrity": "sha512-d9zaMRSTIKDLhctzH12MtXvJKSSUhaHcjV+2Z+GK+EEY7XKpP5yR4x+N3TAcHTcu963nIr+TMcCb4DBCYX1z6Q==",
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- "peer": true,
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- }
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"node_modules/@exabyte-io/periodic-table.js": {
"version": "2022.6.8-0",
"resolved": "https://registry.npmjs.org/@exabyte-io/periodic-table.js/-/periodic-table.js-2022.6.8-0.tgz",
@@ -3681,47 +3574,6 @@
"dev": true,
"license": "MIT"
},
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- "version": "0.13.0",
- "resolved": "https://registry.npmjs.org/@humanwhocodes/config-array/-/config-array-0.13.0.tgz",
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- "deprecated": "Use @eslint/config-array instead",
- "dev": true,
- "license": "Apache-2.0",
- "peer": true,
- "dependencies": {
- "@humanwhocodes/object-schema": "^2.0.3",
- "debug": "^4.3.1",
- "minimatch": "^3.0.5"
- },
- "engines": {
- "node": ">=10.10.0"
- }
- },
- "node_modules/@humanwhocodes/module-importer": {
- "version": "1.0.1",
- "resolved": "https://registry.npmjs.org/@humanwhocodes/module-importer/-/module-importer-1.0.1.tgz",
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- "dev": true,
- "license": "Apache-2.0",
- "peer": true,
- "engines": {
- "node": ">=12.22"
- },
- "funding": {
- "type": "github",
- "url": "https://github.com/sponsors/nzakas"
- }
- },
- "node_modules/@humanwhocodes/object-schema": {
- "version": "2.0.3",
- "resolved": "https://registry.npmjs.org/@humanwhocodes/object-schema/-/object-schema-2.0.3.tgz",
- "integrity": "sha512-93zYdMES/c1D69yZiKDBj0V24vqNzB/koF26KPaagAfd3P/4gUlh3Dys5ogAK+Exi9QyzlD8x/08Zt7wIKcDcA==",
- "deprecated": "Use @eslint/object-schema instead",
- "dev": true,
- "license": "BSD-3-Clause",
- "peer": true
- },
"node_modules/@jridgewell/gen-mapping": {
"version": "0.3.13",
"resolved": "https://registry.npmjs.org/@jridgewell/gen-mapping/-/gen-mapping-0.3.13.tgz",
@@ -3980,9 +3832,9 @@
}
},
"node_modules/@mat3ra/cove": {
- "version": "0.0.0",
- "resolved": "https://github.com/mat3ra/cove/releases/download/wip-3374a52/cove.tgz",
- "integrity": "sha512-EBBV8Ksd0wlOHABPsqmSeBUerCNBkLDpqQJiTBc03J/SY9w4TnetulGQJCTZ4xxsd/GnvU6LqsIVSms8FO4oPg==",
+ "version": "2026.8.19-4",
+ "resolved": "https://registry.npmjs.org/@mat3ra/cove/-/cove-2026.8.19-4.tgz",
+ "integrity": "sha512-7Zd0ZaZ1Bmgjg+bLNeLC59C/ss6gEL3OeIO9Cp+F46WJajulJysgYwT3LDAZrZcMp/Aj7Er5LH6Fxj2C7dQSZg==",
"dev": true,
"license": "Apache-2.0",
"dependencies": {
@@ -6208,9 +6060,9 @@
}
},
"node_modules/@mat3ra/wave.js": {
- "version": "0.0.0",
- "resolved": "https://github.com/mat3ra/wave.js/releases/download/wip-1bd0a38/wave.js.tgz",
- "integrity": "sha512-kTOR1cQuVbKgdCO0HurGwUQeOZ8WtFXh3hwcSHz/FtcC3/ce4lw6kY1BVIdT1aq0+wYGLcBXOU4SXwurNk/BYw==",
+ "version": "2026.8.19-0",
+ "resolved": "https://registry.npmjs.org/@mat3ra/wave.js/-/wave.js-2026.8.19-0.tgz",
+ "integrity": "sha512-itz8YZAKAYZig6IMMNIDWujiqYsxDLrsOngcT7aFRueGaUN/4+LqnUpyv6zKv/D6kNVmWIoP5/eVhvsO/UvxCg==",
"dev": true,
"license": "Apache-2.0",
"dependencies": {
@@ -6706,47 +6558,6 @@
"eslint-scope": "5.1.1"
}
},
- "node_modules/@nodelib/fs.scandir": {
- "version": "2.1.5",
- "resolved": "https://registry.npmjs.org/@nodelib/fs.scandir/-/fs.scandir-2.1.5.tgz",
- "integrity": "sha512-vq24Bq3ym5HEQm2NKCr3yXDwjc7vTsEThRDnkp2DK9p1uqLR+DHurm/NOTo0KG7HYHU7eppKZj3MyqYuMBf62g==",
- "dev": true,
- "license": "MIT",
- "peer": true,
- "dependencies": {
- "@nodelib/fs.stat": "2.0.5",
- "run-parallel": "^1.1.9"
- },
- "engines": {
- "node": ">= 8"
- }
- },
- "node_modules/@nodelib/fs.stat": {
- "version": "2.0.5",
- "resolved": "https://registry.npmjs.org/@nodelib/fs.stat/-/fs.stat-2.0.5.tgz",
- "integrity": "sha512-RkhPPp2zrqDAQA/2jNhnztcPAlv64XdhIp7a7454A5ovI7Bukxgt7MX7udwAu3zg1DcpPU0rz3VV1SeaqvY4+A==",
- "dev": true,
- "license": "MIT",
- "peer": true,
- "engines": {
- "node": ">= 8"
- }
- },
- "node_modules/@nodelib/fs.walk": {
- "version": "1.2.8",
- "resolved": "https://registry.npmjs.org/@nodelib/fs.walk/-/fs.walk-1.2.8.tgz",
- "integrity": "sha512-oGB+UxlgWcgQkgwo8GcEGwemoTFt3FIO9ababBmaGwXIoBKZ+GTy0pP185beGg7Llih/NSHSV2XAs1lnznocSg==",
- "dev": true,
- "license": "MIT",
- "peer": true,
- "dependencies": {
- "@nodelib/fs.scandir": "2.1.5",
- "fastq": "^1.6.0"
- },
- "engines": {
- "node": ">= 8"
- }
- },
"node_modules/@popperjs/core": {
"version": "2.11.8",
"resolved": "https://registry.npmjs.org/@popperjs/core/-/core-2.11.8.tgz",
@@ -8061,14 +7872,6 @@
"react-dom": ">=17.0.0"
}
},
- "node_modules/@ungap/structured-clone": {
- "version": "1.3.3",
- "resolved": "https://registry.npmjs.org/@ungap/structured-clone/-/structured-clone-1.3.3.tgz",
- "integrity": "sha512-60YRaenCQcVjYEKOcG824+DRGGIQ3VKErcBoAEDJZz5bKIs2ZG+X/H9Nk+Q6EVkwJk5QNApxbrc5QtBSwtrXAg==",
- "dev": true,
- "license": "ISC",
- "peer": true
- },
"node_modules/@vitejs/plugin-react": {
"version": "4.7.0",
"resolved": "https://registry.npmjs.org/@vitejs/plugin-react/-/plugin-react-4.7.0.tgz",
@@ -8110,17 +7913,6 @@
"node": ">=0.4.0"
}
},
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- "version": "5.3.2",
- "resolved": "https://registry.npmjs.org/acorn-jsx/-/acorn-jsx-5.3.2.tgz",
- "integrity": "sha512-rq9s+JNhf0IChjtDXxllJ7g41oZk5SlXtp0LHwyA5cejwn7vKmKp4pPri6YEePv2PU65sAsegbXtIinmDFDXgQ==",
- "dev": true,
- "license": "MIT",
- "peer": true,
- "peerDependencies": {
- "acorn": "^6.0.0 || ^7.0.0 || ^8.0.0"
- }
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"node_modules/acorn-walk": {
"version": "8.3.5",
"resolved": "https://registry.npmjs.org/acorn-walk/-/acorn-walk-8.3.5.tgz",
@@ -8209,23 +8001,6 @@
"url": "https://github.com/chalk/ansi-regex?sponsor=1"
}
},
- "node_modules/ansi-styles": {
- "version": "4.3.0",
- "resolved": "https://registry.npmjs.org/ansi-styles/-/ansi-styles-4.3.0.tgz",
- "integrity": "sha512-zbB9rCJAT1rbjiVDb2hqKFHNYLxgtk8NURxZ3IZwD3F6NtxbXZQCnnSi1Lkx+IDohdPlFp222wVALIheZJQSEg==",
- "dev": true,
- "license": "MIT",
- "peer": true,
- "dependencies": {
- "color-convert": "^2.0.1"
- },
- "engines": {
- "node": ">=8"
- },
- "funding": {
- "url": "https://github.com/chalk/ansi-styles?sponsor=1"
- }
- },
"node_modules/anymatch": {
"version": "3.1.3",
"resolved": "https://registry.npmjs.org/anymatch/-/anymatch-3.1.3.tgz",
@@ -9072,28 +8847,6 @@
"@codemirror/view": "^6.0.0"
}
},
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- "version": "2.0.1",
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- "dev": true,
- "license": "MIT",
- "peer": true,
- "dependencies": {
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- },
- "engines": {
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- "dev": true,
- "license": "MIT",
- "peer": true
- },
"node_modules/commander": {
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"resolved": "https://registry.npmjs.org/commander/-/commander-6.2.1.tgz",
@@ -9318,22 +9071,6 @@
"node-fetch": "^2.7.0"
}
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- "integrity": "sha512-uV2QOWP2nWzsy2aMp8aRibhi9dlzF5Hgh5SHaB9OiTGEyDTiJJyx0uy51QXdyWbtAHNua4XJzUKca3OzKUd3vA==",
- "dev": true,
- "license": "MIT",
- "peer": true,
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- "shebang-command": "^2.0.0",
- "which": "^2.0.1"
- },
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"node_modules/crypt": {
"version": "0.0.2",
"resolved": "https://registry.npmjs.org/crypt/-/crypt-0.0.2.tgz",
@@ -9629,14 +9366,6 @@
"node": ">=6"
}
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- "resolved": "https://registry.npmjs.org/deep-is/-/deep-is-0.1.4.tgz",
- "integrity": "sha512-oIPzksmTg4/MriiaYGO+okXDT7ztn/w3Eptv/+gSIdMdKsJo0u4CfYNFJPy+4SKMuCqGw2wxnA+URMg3t8a/bQ==",
- "dev": true,
- "license": "MIT",
- "peer": true
- },
"node_modules/define-data-property": {
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"resolved": "https://registry.npmjs.org/define-data-property/-/define-data-property-1.1.4.tgz",
@@ -9720,20 +9449,6 @@
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"license": "MIT"
},
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- "dev": true,
- "license": "Apache-2.0",
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- },
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@@ -10057,64 +9772,6 @@
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}
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- "deprecated": "This version is no longer supported. Please see https://eslint.org/version-support for other options.",
- "dev": true,
- "license": "MIT",
- "peer": true,
- "dependencies": {
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- "optionator": "^0.9.3",
- "strip-ansi": "^6.0.1",
- "text-table": "^0.2.0"
- },
- "bin": {
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- },
- "engines": {
- "node": "^12.22.0 || ^14.17.0 || >=16.0.0"
- },
- "funding": {
- "url": "https://opencollective.com/eslint"
- }
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"node_modules/eslint-scope": {
"version": "5.1.1",
"resolved": "https://registry.npmjs.org/eslint-scope/-/eslint-scope-5.1.1.tgz",
@@ -10139,363 +9796,83 @@
"node": ">=10"
}
},
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- "integrity": "sha512-fgFx7Hfoq60ytK2c7DhnF8jIvzYgOMxfugjLOSMHjLIPgenqa7S7oaagATUq99mV6IYvN2tRmC0wnTYX6iPbMw==",
+ "node_modules/esrecurse": {
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- "integrity": "sha512-7rKUyy33Q1yc98pQ1DAmLtwX109F7TIfWlW1Ydo8Wl1ii1SeHieeh0HHfPeL2fMXK6z0s8ecKs9frCuLJvndBg==",
- "dev": true,
- "license": "BSD-2-Clause",
- "peer": true,
- "dependencies": {
- "punycode": "^2.1.0"
- }
- },
- "node_modules/uri-js/node_modules/punycode": {
- "version": "2.3.1",
- "resolved": "https://registry.npmjs.org/punycode/-/punycode-2.3.1.tgz",
- "integrity": "sha512-vYt7UD1U9Wg6138shLtLOvdAu+8DsC/ilFtEVHcH+wydcSpNE20AfSOduf6MkRFahL5FY7X1oU7nKVZFtfq8Fg==",
- "dev": true,
- "license": "MIT",
- "peer": true,
- "engines": {
- "node": ">=6"
- }
- },
"node_modules/url": {
"version": "0.11.4",
"resolved": "https://registry.npmjs.org/url/-/url-0.11.4.tgz",
@@ -16247,23 +15211,6 @@
"webidl-conversions": "^3.0.0"
}
},
- "node_modules/which": {
- "version": "2.0.2",
- "resolved": "https://registry.npmjs.org/which/-/which-2.0.2.tgz",
- "integrity": "sha512-BLI3Tl1TW3Pvl70l3yq3Y64i+awpwXqsGBYWkkqMtnbXgrMD+yj7rhW0kuEDxzJaYXGjEW5ogapKNMEKNMjibA==",
- "dev": true,
- "license": "ISC",
- "peer": true,
- "dependencies": {
- "isexe": "^2.0.0"
- },
- "bin": {
- "node-which": "bin/node-which"
- },
- "engines": {
- "node": ">= 8"
- }
- },
"node_modules/which-boxed-primitive": {
"version": "1.1.1",
"resolved": "https://registry.npmjs.org/which-boxed-primitive/-/which-boxed-primitive-1.1.1.tgz",
@@ -16360,17 +15307,6 @@
"url": "https://github.com/sponsors/ljharb"
}
},
- "node_modules/word-wrap": {
- "version": "1.2.5",
- "resolved": "https://registry.npmjs.org/word-wrap/-/word-wrap-1.2.5.tgz",
- "integrity": "sha512-BN22B5eaMMI9UMtjrGd5g5eCYPpCPDUy0FJXbYsaT5zYxjFOckS53SQDE3pWkVoWpHXVb3BrYcEN4Twa55B5cA==",
- "dev": true,
- "license": "MIT",
- "peer": true,
- "engines": {
- "node": ">=0.10.0"
- }
- },
"node_modules/wrappy": {
"version": "1.0.2",
"resolved": "https://registry.npmjs.org/wrappy/-/wrappy-1.0.2.tgz",
diff --git a/package.json b/package.json
index e6cb46f..a398b19 100644
--- a/package.json
+++ b/package.json
@@ -73,8 +73,8 @@
"@rjsf/utils": "^5.1.0",
"@rjsf/mui": "^5.1.0",
"@rjsf/validator-ajv8": "^5.1.0",
- "@mat3ra/cove": "https://github.com/mat3ra/cove/releases/download/wip-3374a52/cove.tgz",
- "@mat3ra/wave.js": "https://github.com/mat3ra/wave.js/releases/download/wip-1bd0a38/wave.js.tgz",
+ "@mat3ra/cove": "2026.8.19-4",
+ "@mat3ra/wave.js": "2026.8.19-0",
"@emotion/babel-plugin": "^11.11.0",
"@emotion/react": "^11.11.0",
"@emotion/styled": "^11.11.0",
diff --git a/src/components/BrillouinZone.tsx b/src/components/BrillouinZone.tsx
new file mode 100644
index 0000000..4f56af2
--- /dev/null
+++ b/src/components/BrillouinZone.tsx
@@ -0,0 +1,189 @@
+import Box from "@mui/material/Box";
+import { useTheme } from "@mui/material/styles";
+import Typography from "@mui/material/Typography";
+import React, { useMemo } from "react";
+
+/**
+ * Structural shape of a zone face, matching `BrillouinZoneFace` from
+ * `@mat3ra/made`'s `ReciprocalLattice.brillouinZone`. Declared structurally rather than
+ * imported so this view layer does not pin a `made` version.
+ */
+export interface BrillouinZoneFaceLike {
+ vertices: number[][];
+ normal: number[];
+}
+
+export interface BrillouinZoneProps {
+ /**
+ * Zone faces, i.e. `new ReciprocalLattice(material.lattice).brillouinZone`. When absent,
+ * the component falls back to {@link BrillouinZoneProps.imgSrc}.
+ */
+ faces?: BrillouinZoneFaceLike[] | null;
+ /** Bravais lattice type, shown in the caption. */
+ latticeType?: string;
+ /** Pre-rendered artwork, used only when no `faces` are given. */
+ imgSrc?: string;
+ description?: React.ReactNode;
+ /** Rendered size in pixels. */
+ size?: number;
+}
+
+/** Fixed three-quarter view: the zone is an illustration, not an interactive scene. */
+const VIEW_YAW = Math.PI / 5;
+const VIEW_PITCH = Math.PI / 7;
+const PADDING = 12;
+
+interface ProjectedPoint {
+ x: number;
+ y: number;
+ depth: number;
+}
+
+function project(vertex: number[]): ProjectedPoint {
+ const [x, y, z] = vertex;
+ const cosYaw = Math.cos(VIEW_YAW);
+ const sinYaw = Math.sin(VIEW_YAW);
+ const rotatedX = x * cosYaw + z * sinYaw;
+ const rotatedZ = -x * sinYaw + z * cosYaw;
+
+ const cosPitch = Math.cos(VIEW_PITCH);
+ const sinPitch = Math.sin(VIEW_PITCH);
+ const rotatedY = y * cosPitch - rotatedZ * sinPitch;
+
+ // SVG's y axis grows downward, hence the negation.
+ return { x: rotatedX, y: -rotatedY, depth: y * sinPitch + rotatedZ * cosPitch };
+}
+
+interface ProjectedFace {
+ points: string;
+ depth: number;
+ shade: number;
+}
+
+export function projectBrillouinZoneFaces(
+ faces: BrillouinZoneFaceLike[],
+ size: number,
+): ProjectedFace[] {
+ const projectedByFace = faces.map((face) => face.vertices.map(project));
+ const allPoints = projectedByFace.flat();
+ const minimumX = Math.min(...allPoints.map((point) => point.x));
+ const maximumX = Math.max(...allPoints.map((point) => point.x));
+ const minimumY = Math.min(...allPoints.map((point) => point.y));
+ const maximumY = Math.max(...allPoints.map((point) => point.y));
+ const span = Math.max(maximumX - minimumX, maximumY - minimumY) || 1;
+ const scaleFactor = (size - 2 * PADDING) / span;
+ const offsetX = PADDING + (size - 2 * PADDING - (maximumX - minimumX) * scaleFactor) / 2;
+ const offsetY = PADDING + (size - 2 * PADDING - (maximumY - minimumY) * scaleFactor) / 2;
+
+ return (
+ projectedByFace
+ .map((projected, index) => {
+ const points = projected
+ .map(
+ (point) =>
+ `${(offsetX + (point.x - minimumX) * scaleFactor).toFixed(2)},${(
+ offsetY +
+ (point.y - minimumY) * scaleFactor
+ ).toFixed(2)}`,
+ )
+ .join(" ");
+ const depth =
+ projected.reduce((sum, point) => sum + point.depth, 0) /
+ (projected.length || 1);
+ const [normalX, normalY, normalZ] = faces[index].normal;
+ // Lambert-ish shading from a light above and to the viewer's left.
+ const shade = Math.max(0, normalX * -0.3 + normalY * 0.55 + normalZ * 0.78);
+ return { points, depth, shade };
+ })
+ // Painter's algorithm: the zone is convex, so far-to-near ordering hides back faces.
+ .sort((left, right) => left.depth - right.depth)
+ );
+}
+
+/**
+ * Draws the first Brillouin zone from geometry rather than fetching one image per lattice type.
+ *
+ * Supersedes `BrillouinZoneImage`: pass `faces` from `@mat3ra/made`'s
+ * `ReciprocalLattice.brillouinZone` and the zone reflects the material's actual cell, so two
+ * materials of the same Bravais type but different axial ratios — a monolayer with vacuum
+ * padding and a bulk crystal, say — no longer render identically. Hosts that still have
+ * artwork can keep passing `imgSrc`, which is used when `faces` is absent.
+ */
+export function BrillouinZone({
+ faces,
+ latticeType,
+ imgSrc,
+ description,
+ size = 220,
+}: BrillouinZoneProps) {
+ const theme = useTheme();
+ const projectedFaces = useMemo(
+ () => (faces && faces.length ? projectBrillouinZoneFaces(faces, size) : null),
+ [faces, size],
+ );
+
+ if (!projectedFaces) {
+ if (!imgSrc) return null;
+ return (
+
+ {latticeType ? (
+ {`Brillouin zone: ${latticeType}`}
+ ) : null}
+
+ {description}
+
+ );
+ }
+
+ const faceColor = theme.palette.primary.main;
+ const edgeColor = theme.palette.background.paper;
+
+ return (
+
+
+
+ {latticeType
+ ? `First Brillouin zone — ${latticeType} lattice`
+ : "First Brillouin zone"}
+
+ {description}
+
+ );
+}
+
+export default BrillouinZone;
diff --git a/src/exports.ts b/src/exports.ts
index fd3724a..9d979ea 100644
--- a/src/exports.ts
+++ b/src/exports.ts
@@ -4,4 +4,9 @@ export { default as Model } from "./components/Model";
export { default as Method } from "./components/Method";
export { default as MethodData } from "./components/MethodData";
export { default as BrillouinZoneImage } from "./components/BrillouinZoneImage";
+export {
+ BrillouinZone,
+ type BrillouinZoneFaceLike,
+ type BrillouinZoneProps,
+} from "./components/BrillouinZone";
export { PseudoPanel, PseudoSearchBar } from "./components/pseudopotential/PseudoPanel";
diff --git a/tests/brillouinZone.tests.ts b/tests/brillouinZone.tests.ts
new file mode 100644
index 0000000..ff2dd3f
--- /dev/null
+++ b/tests/brillouinZone.tests.ts
@@ -0,0 +1,115 @@
+/* eslint-disable @typescript-eslint/no-floating-promises */
+import assert from "node:assert";
+import test from "node:test";
+
+import {
+ type BrillouinZoneFaceLike,
+ projectBrillouinZoneFaces,
+} from "../src/components/BrillouinZone";
+
+/** Unit cube centred on the origin: six square faces, enough to exercise the projection. */
+const CUBE_FACES: BrillouinZoneFaceLike[] = [
+ {
+ normal: [0, 0, 1],
+ vertices: [
+ [-1, -1, 1],
+ [1, -1, 1],
+ [1, 1, 1],
+ [-1, 1, 1],
+ ],
+ },
+ {
+ normal: [0, 0, -1],
+ vertices: [
+ [-1, -1, -1],
+ [-1, 1, -1],
+ [1, 1, -1],
+ [1, -1, -1],
+ ],
+ },
+ {
+ normal: [1, 0, 0],
+ vertices: [
+ [1, -1, -1],
+ [1, 1, -1],
+ [1, 1, 1],
+ [1, -1, 1],
+ ],
+ },
+ {
+ normal: [-1, 0, 0],
+ vertices: [
+ [-1, -1, -1],
+ [-1, -1, 1],
+ [-1, 1, 1],
+ [-1, 1, -1],
+ ],
+ },
+ {
+ normal: [0, 1, 0],
+ vertices: [
+ [-1, 1, -1],
+ [-1, 1, 1],
+ [1, 1, 1],
+ [1, 1, -1],
+ ],
+ },
+ {
+ normal: [0, -1, 0],
+ vertices: [
+ [-1, -1, -1],
+ [1, -1, -1],
+ [1, -1, 1],
+ [-1, -1, 1],
+ ],
+ },
+];
+
+const SIZE = 220;
+
+function parsePoints(points: string): Array<[number, number]> {
+ return points.split(" ").map((pair) => pair.split(",").map(Number) as [number, number]);
+}
+
+test("projects every face to a polygon with the same vertex count", () => {
+ const projected = projectBrillouinZoneFaces(CUBE_FACES, SIZE);
+ assert.strictEqual(projected.length, CUBE_FACES.length);
+ projected.forEach((face) => assert.strictEqual(parsePoints(face.points).length, 4));
+});
+
+test("fits the drawing inside the viewport", () => {
+ const projected = projectBrillouinZoneFaces(CUBE_FACES, SIZE);
+ const coordinates = projected.flatMap((face) => parsePoints(face.points).flat());
+ assert.ok(Math.min(...coordinates) >= 0, "no coordinate falls outside the left/top edge");
+ assert.ok(
+ Math.max(...coordinates) <= SIZE,
+ "no coordinate falls outside the right/bottom edge",
+ );
+});
+
+test("orders faces back to front so the painter's algorithm hides rear faces", () => {
+ const projected = projectBrillouinZoneFaces(CUBE_FACES, SIZE);
+ const depths = projected.map((face) => face.depth);
+ const sorted = [...depths].sort((left, right) => left - right);
+ assert.deepStrictEqual(depths, sorted);
+});
+
+test("shades faces by orientation, brightest towards the light", () => {
+ const projected = projectBrillouinZoneFaces(CUBE_FACES, SIZE);
+ const shades = projected.map((face) => face.shade);
+ assert.ok(Math.max(...shades) > Math.min(...shades), "faces are not uniformly shaded");
+ assert.ok(
+ shades.every((shade) => shade >= 0),
+ "shading never goes negative",
+ );
+});
+
+test("scales with the requested size", () => {
+ const small = projectBrillouinZoneFaces(CUBE_FACES, 100);
+ const large = projectBrillouinZoneFaces(CUBE_FACES, 400);
+ const extent = (faces: ReturnType) => {
+ const xs = faces.flatMap((face) => parsePoints(face.points).map(([x]) => x));
+ return Math.max(...xs) - Math.min(...xs);
+ };
+ assert.ok(extent(large) > extent(small));
+});