Tetrahedron (non-indexed buffer geometry)

Hi community!
There’s a non-indexed buffer geometry of tetrahedron (including normals and uv).
I built it, answering a question on SO in Russian segment: https://ru.stackoverflow.com/a/1078398/224917
I needed specific uvs of faces, where [0.5, 0.5] is in the center of the сircumscribed circle around the triangle of a face.

https://jsfiddle.net/prisoner849/jodt7ufx/

изображение

// tetrahedron
// ---------------------------------------------------------------------------------------
var pts = [ // https://en.wikipedia.org/wiki/Tetrahedron#Coordinates_for_a_regular_tetrahedron
  new THREE.Vector3(Math.sqrt(8 / 9), 0, -(1 / 3)),
  new THREE.Vector3(-Math.sqrt(2 / 9), Math.sqrt(2 / 3), -(1 / 3)),
  new THREE.Vector3(-Math.sqrt(2 / 9), -Math.sqrt(2 / 3), -(1 / 3)),
  new THREE.Vector3(0, 0, 1)
];

var faces = [ // triangle soup
  pts[0].clone(), pts[2].clone(), pts[1].clone(),
  pts[0].clone(), pts[1].clone(), pts[3].clone(),
  pts[1].clone(), pts[2].clone(), pts[3].clone(),
  pts[2].clone(), pts[0].clone(), pts[3].clone()
];

var geom = new THREE.BufferGeometry().setFromPoints(faces);
geom.rotateX(-Math.PI * 0.5);
geom.computeVertexNormals();

geom.setAttribute("uv", new THREE.Float32BufferAttribute([ // UVs
  0.5, 1, 0.06698729810778059, 0.2500000000000001, 0.9330127018922194, 0.2500000000000001,
  0.06698729810778059, 0.2500000000000001, 0.9330127018922194, 0.2500000000000001, 0.5, 1,
  0.06698729810778059, 0.2500000000000001, 0.9330127018922194, 0.2500000000000001, 0.5, 1,
  0.06698729810778059, 0.2500000000000001, 0.9330127018922194, 0.2500000000000001, 0.5, 1
], 2));
// ---------------------------------------------------------------------------------------
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