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var MatcapTransformer = function(uvs, face) {
  for (var i = uvs.length; i-- > 0;) {
    uvs[i].x = face.vertexNormals[i].x * 0.5 + 0.5;
    uvs[i].y = face.vertexNormals[i].y * 0.5 + 0.5;
  }
};

var TransformUv = function(geometry, xformer) {
  // The first argument is also used as an array in the recursive calls 
  // as there's no method overloading in javascript; and so is the callback. 
  var a = arguments[0],
    callback = arguments[1];

  var faceIterator = function(uvFaces, index) {
    xformer(uvFaces[index], geometry.faces[index]);
  };

  var layerIterator = function(uvLayers, index) {
    TransformUv(uvLayers[index], faceIterator);
  };

  for (var i = a.length; i-- > 0;) {
    callback(a, i);
  }

  if (!(i < 0)) {
    TransformUv(geometry.faceVertexUvs, layerIterator);
  }
};

var SetResizeHandler = function(renderer, camera) {
  var callback = function() {
    renderer.setSize(window.innerWidth, window.innerHeight);
    camera.aspect = window.innerWidth / window.innerHeight;
    camera.updateProjectionMatrix();
  };

  // bind the resize event
  window.addEventListener('resize', callback, false);

  // return .stop() the function to stop watching window resize
  return {
    stop: function() {
      window.removeEventListener('resize', callback);
    }
  };
};

(function() {
  var fov = 45;
  var aspect = window.innerWidth / window.innerHeight;
  var loader = new THREE.TextureLoader();

  var texture = loader.load('https://i.postimg.cc/mTsN30vx/canyon-s.jpg');
  texture.wrapS = THREE.RepeatWrapping;
  texture.wrapT = THREE.RepeatWrapping;
  texture.center.set(1 / 2, 1 / 2);

  var cubeCam = new THREE.CubeCamera(.1, 200, 4096);
  cubeCam.renderTarget.texture.wrapS = THREE.RepeatWrapping;
  cubeCam.renderTarget.texture.wrapT = THREE.RepeatWrapping;
  cubeCam.renderTarget.texture.center.set(1 / 2, 1 / 2);

  var geoSky = new THREE.SphereGeometry(2, 16, 16);
  var matSky = new THREE.MeshBasicMaterial({
    'map': texture,
    'side': THREE.BackSide
  });
  var meshSky = new THREE.Mesh(geoSky, matSky);
  meshSky.visible = false;

  var geometry = new THREE.IcosahedronGeometry(1, 1);
  var material = new THREE.MeshBasicMaterial({
    'envMap': cubeCam.renderTarget.texture
  });
  var mesh = new THREE.Mesh(geometry, material);

  var geoWireframe = new THREE.WireframeGeometry(geometry);
  var matWireframe = new THREE.LineBasicMaterial({
    'color': 'red',
    'linewidth': 2
  });
  mesh.add(new THREE.LineSegments(geoWireframe, matWireframe));

  var camera = new THREE.PerspectiveCamera(fov, aspect);
  camera.position.setZ(20);

  var scene = new THREE.Scene();
  scene.add(mesh);
  scene.add(meshSky);

  {
    var mirror = new THREE.CubeCamera(.1, 2000, 4096);
    var geoPlane = new THREE.PlaneGeometry(16, 16);
    var matPlane = new THREE.MeshBasicMaterial({
      'envMap': mirror.renderTarget.texture
    });

    var plane = new THREE.Mesh(geoPlane, matPlane);
    plane.add(mirror);
    plane.position.setZ(-4);
    plane.lookAt(mesh.position);
    scene.add(plane);
  }

  var renderer = new THREE.WebGLRenderer();

  var container = document.getElementById('container1');
  container.appendChild(renderer.domElement);

  SetResizeHandler(renderer, camera);
  renderer.setSize(window.innerWidth, window.innerHeight);

  var controls = new THREE.TrackballControls(camera, container);

  var fixTextureWhenRotateAroundAllAxis = function() {
    mesh.rotation.y += 0.01;
    mesh.rotation.x += 0.01;
    mesh.rotation.z += 0.01;

    cubeCam.update(renderer, scene);
  };

  renderer.setAnimationLoop(function() {
    // controls.update();

    plane.visible = false;

    {
      meshSky.visible = true;
      mesh.visible = false;

      fixTextureWhenRotateAroundAllAxis();

      mesh.visible = true;

      meshSky.visible = false;
    }

    mirror.update(renderer, scene);
    plane.visible = true;

    renderer.render(scene, camera);
  });
})();

body {
  background-color: #000;
  margin: 0px;
  overflow: hidden;
}

<script src="https://threejs.org/build/three.min.js"></script>
<script src="https://threejs.org/examples/js/controls/TrackballControls.js"></script>

<div id='container1'></div>

var MatcapTransformer=function(uvs, face) {
	for(var i=uvs.length; i-->0;) {
		uvs[i].x=face.vertexNormals[i].x*0.5+0.5;
		uvs[i].y=face.vertexNormals[i].y*0.5+0.5;
	}
};

var TransformUv=function(geometry, xformer) {
	// The first argument is also used as an array in the recursive calls 
	// as there's no method overloading in javascript; and so is the callback. 
	var a=arguments[0], callback=arguments[1];

	var faceIterator=function(uvFaces, index) {
		xformer(uvFaces[index], geometry.faces[index]);
	};

	var layerIterator=function(uvLayers, index) {
		TransformUv(uvLayers[index], faceIterator);
	};

	for(var i=a.length; i-->0;) {
		callback(a, i);
	}

	if(!(i<0)) {
		TransformUv(geometry.faceVertexUvs, layerIterator);
	}
};

var SetResizeHandler=function(renderer, camera) {
	var callback=function() {
		renderer.setSize(window.innerWidth, window.innerHeight);
		camera.aspect=window.innerWidth/window.innerHeight;
		camera.updateProjectionMatrix();
	};

	// bind the resize event
	window.addEventListener('resize', callback, false);

	// return .stop() the function to stop watching window resize
	return {
		stop: function() {
			window.removeEventListener('resize', callback);
		}
	};
};

	var getVertexShader=function() {
		return `
void main() {
	gl_Position=projectionMatrix*modelViewMatrix*vec4(position, 1.0);
}
`;
	};

	var getFragmentShader=function(size) {
		return `
uniform sampler2D texture1;
const vec2 size=vec2(`+size.x+`, `+size.y+`);

void main() {
	gl_FragColor=texture2D(texture1, gl_FragCoord.xy/size.xy);
}
`;
	};


(function() {
	var fov=45;
	var aspect=window.innerWidth/window.innerHeight;
	var loader=new THREE.TextureLoader();

	var texture=loader.load('https://i.postimg.cc/mTsN30vx/canyon-s.jpg');
	texture.wrapS=THREE.RepeatWrapping;
	texture.wrapT=THREE.RepeatWrapping;
	texture.center.set(1/2, 1/2);

	var geometry=new THREE.SphereGeometry(1, 16, 16);
	// var geometry=new THREE.BoxGeometry(2, 2, 2);

	// var material=new THREE.MeshBasicMaterial({ 'map': texture });
	var material=new THREE.ShaderMaterial({
		'uniforms': { 'texture1': { 'type': 't', 'value': texture } }
		, 'vertexShader': getVertexShader()
		, 'fragmentShader': getFragmentShader({ 'x': 512, 'y': 256 })
	});

	var mesh=new THREE.Mesh(geometry, material);
	var geoWireframe=new THREE.WireframeGeometry(geometry);
	var matWireframe=new THREE.LineBasicMaterial({ 'color': 'red', 'linewidth': 2 });
	mesh.add(new THREE.LineSegments(geoWireframe, matWireframe));

	var camera=new THREE.PerspectiveCamera(fov, aspect);
	camera.position.setZ(20);

	var scene=new THREE.Scene();
	scene.add(mesh);
  
	{
		var mirror=new THREE.CubeCamera(.1, 2000, 4096);
		var geoPlane=new THREE.PlaneGeometry(16, 16);
		var matPlane=new THREE.MeshBasicMaterial({
			'envMap': mirror.renderTarget.texture
		});

		var plane=new THREE.Mesh(geoPlane, matPlane);
		plane.add(mirror);
		plane.position.setZ(-4);
		plane.lookAt(mesh.position);
		scene.add(plane);
	}

	var renderer=new THREE.WebGLRenderer();

	var container=document.getElementById('container1');
	container.appendChild(renderer.domElement);

	SetResizeHandler(renderer, camera);
	renderer.setSize(window.innerWidth, window.innerHeight);

	var fixTextureWhenRotateAroundYAxis=function() {
		mesh.rotation.y+=0.01;
		texture.offset.set(mesh.rotation.y/(2*Math.PI), 0);
	};

	var fixTextureWhenRotateAroundZAxis=function() {
		mesh.rotation.z+=0.01;
		texture.rotation=-mesh.rotation.z
		TransformUv(geometry, MatcapTransformer);
	};

	var fixTextureWhenRotateAroundAllAxis=function() {
		mesh.rotation.y+=0.01;
		mesh.rotation.x+=0.01;
		mesh.rotation.z+=0.01;
	};
  
	var controls=new THREE.TrackballControls(camera, container);

	renderer.setAnimationLoop(function() {
			fixTextureWhenRotateAroundAllAxis();

			controls.update();
			plane.visible=false;
			mirror.update(renderer, scene);
			plane.visible=true;   

		renderer.render(scene, camera);
	});
})();

body {
	background-color: #000;
	margin: 0px;
	overflow: hidden;
}

<script src="https://threejs.org/build/three.min.js"></script>
<script src="https://threejs.org/examples/js/controls/TrackballControls.js"></script>

<div id='container1'></div>