diff --git a/javascript/build/ee_api_js.js b/javascript/build/ee_api_js.js
index 75541a6..3a1f5f7 100644
--- a/javascript/build/ee_api_js.js
+++ b/javascript/build/ee_api_js.js
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 a);}else if(2==b){var b=arguments[0],c=arguments[1];if(me(b)&&le(c))P.call(this,new L("Image.load"),{id:b,version:c});else throw Error("Unrecognized argument types to convert to an Image: "+arguments);}else throw Error("The Image constructor takes at most 2 arguments ("+b+" given)");};v(Y,P);u("ee.Image",Y);var Lf=!1,Jf=function(){Lf||(N(Y,"Image","Image"),N(Y,"Window","Image","focal_"),Lf=!0)};Y.prototype.m=function(a){return Y.p.m.call(this,a)};Y.prototype.getInfo=Y.prototype.m;
-Y.prototype.getMap=function(a,b){var c=a?w(a):{};c.image=this.h();if(b)Md(c,t(function(a,c){a&&(a.image=this);b(a,c)},this));else return c=Md(c),c.image=this,c};Y.prototype.getMap=Y.prototype.getMap;Y.prototype.La=function(a,b){var c=a?w(a):{};c.image=this.h();if(b)Qd(c,function(a,c){a?b(Rd(a)):b(null,c)});else return Rd(Qd(c))};Y.prototype.getDownloadURL=Y.prototype.La;
-Y.prototype.Pb=function(a,b){var c=a?w(a):{};c.image=this.h();if(c.region)if(n(c.region)||ne(c.region))c.region=(new Qa(void 0)).h(c.region);else if(!p(c.region))throw Error("The region parameter must be an array or a GeoJSON object.");if(b)Od(c,function(a,c){var g="";if(!l(c))try{g=Pd(a)}catch(f){c=String(f.message)}b(g,c)});else return Pd(Od(c))};Y.prototype.getThumbURL=Y.prototype.Pb;Y.rgb=function(a,b,c){return Kf([a,b,c],["vis-red","vis-green","vis-blue"])};
+Y.prototype.getMap=function(a,b){var c=a?w(a):{};c.image=this.i();if(b)Md(c,t(function(a,c){a&&(a.image=this);b(a,c)},this));else return c=Md(c),c.image=this,c};Y.prototype.getMap=Y.prototype.getMap;Y.prototype.La=function(a,b){var c=a?w(a):{};c.image=this.i();if(b)Qd(c,function(a,c){a?b(Rd(a)):b(null,c)});else return Rd(Qd(c))};Y.prototype.getDownloadURL=Y.prototype.La;
+Y.prototype.Ob=function(a,b){var c=a?w(a):{};c.image=this.i();if(c.region)if(n(c.region)||ne(c.region))c.region=(new Qa(void 0)).i(c.region);else if(!p(c.region))throw Error("The region parameter must be an array or a GeoJSON object.");if(b)Od(c,function(a,c){var g="";if(!l(c))try{g=Pd(a)}catch(f){c=String(f.message)}b(g,c)});else return Pd(Od(c))};Y.prototype.getThumbURL=Y.prototype.Ob;Y.rgb=function(a,b,c){return Kf([a,b,c],["vis-red","vis-green","vis-blue"])};
 Y.cat=function(a){return Kf(Array.prototype.slice.call(arguments),null)};var Kf=function(a,b){if(0==a.length)throw Error("Can't combine 0 images.");for(var c=new Y(a[0]),d=1;d<a.length;d++)c=M("Image.addBands",c,a[d]);b&&(c=c.select([".*"],b));return c};
 Y.prototype.select=function(a){var b=Array.prototype.slice.call(arguments),c={input:this,bandSelectors:b[0]||[]};if(2<b.length||me(b[0])||le(b[0])){for(var d=0;d<b.length;d++)if(!(me(b[d])||le(b[d])||b[d]instanceof H))throw Error("Illegal argument to select(): "+b[d]);c.bandSelectors=b}else b[1]&&(c.newNames=b[1]);return te("Image.select",c)};Y.prototype.select=Y.prototype.select;
-Y.prototype.Jb=function(a,b){var c=["DEFAULT_EXPRESSION_IMAGE"],d={DEFAULT_EXPRESSION_IMAGE:this};if(b)for(var e in b)c.push(e),d[e]=new Y(b[e]);var g=M("Image.parseExpression",a,"DEFAULT_EXPRESSION_IMAGE",c);e=new J;e.encode=function(a){return g.encode(a)};e.n=function(){return{name:"",args:Fa(c,function(a){return{name:a,type:"Image",optional:!1}},this),returns:"Image"}};return e.apply(d)};Y.prototype.expression=Y.prototype.Jb;
+Y.prototype.Ib=function(a,b){var c=["DEFAULT_EXPRESSION_IMAGE"],d={DEFAULT_EXPRESSION_IMAGE:this};if(b)for(var e in b)c.push(e),d[e]=new Y(b[e]);var g=M("Image.parseExpression",a,"DEFAULT_EXPRESSION_IMAGE",c);e=new J;e.encode=function(a){return g.encode(a)};e.n=function(){return{name:"",args:Fa(c,function(a){return{name:a,type:"Image",optional:!1}},this),returns:"Image"}};return e.apply(d)};Y.prototype.expression=Y.prototype.Ib;
 Y.prototype.clip=function(a){try{a=new V(a)}catch(b){}return M("Image.clip",this,a)};Y.prototype.clip=Y.prototype.clip;Y.prototype.name=function(){return"Image"};var Z=function(a){if(!(this instanceof Z))return I(Z,arguments);if(a instanceof Z)return a;if(1!=arguments.length)throw Error("The ImageCollection constructor takes exactly 1 argument ("+arguments.length+" given)");Mf();a instanceof Y&&(a=[a]);if(me(a))S.call(this,new L("ImageCollection.load"),{id:a});else if(n(a))S.call(this,new L("ImageCollection.fromImages"),{images:Fa(a,function(a){return new Y(a)})});else if(a instanceof H)S.call(this,a.b,a.c,a.f);else throw Error("Unrecognized argument type to convert to an ImageCollection: "+
 a);};v(Z,S);u("ee.ImageCollection",Z);var Nf=!1,Mf=function(){Nf||(N(Z,"ImageCollection","ImageCollection"),N(Z,"reduce","ImageCollection"),Nf=!0)};Z.prototype.getMap=function(a,b){var c=M("ImageCollection.mosaic",this);if(b)c.getMap(a,b);else return c.getMap(a)};Z.prototype.getMap=Z.prototype.getMap;Z.prototype.m=function(a){return Z.p.m.call(this,a)};Z.prototype.getInfo=Z.prototype.m;Z.prototype.select=function(a,b){var c=arguments;return this.map(function(a){return a.select.apply(a,c)})};
-Z.prototype.select=Z.prototype.select;Z.prototype.name=function(){return"ImageCollection"};Z.prototype.elementType=function(){return Y};var Of={};u("ee.Terrain",Of);Of.Oa=!1;Of.Ub=function(){Of.Oa||(N(Of,"Terrain","Terrain"),Of.Oa=!0)};Of.reset=function(){O(Of);Of.Oa=!1};u("ee.initialize",function(a,b,c,d,e){if("ready"!=Pf||a||b){var g=null!=c;if(d)if(g)Qf.push(d);else throw Error("Can't pass an error callback without a success callback.");if("loading"==Pf&&g)Rf.push(c);else if(Pf="loading",Kd(a,b,e),g)Rf.push(c),ve(Sf,Tf);else try{ve(),Sf()}catch(f){throw Tf(f),f;}}else c&&c()});
-u("ee.reset",function(){Pf="not_ready";Gd=Ed=Dd=Cd=null;Hd=[];Fd=null;Id=!1;ma=null;ue={};O(ff);hf=!1;O(zf);Bf=!1;O(P);Ae=!1;O(Y);Lf=!1;O(W);Df=!1;O(S);We=!1;O(Z);Nf=!1;O(X);If=!1;O(Q);Ce=!1;O(V);lf=!1;O(Ef);Gf=!1;O(Xe);Ze=!1;O(T);af=!1;Of.reset();for(var a=k.ee,b=0;b<Uf.length;b++){var c=Uf[b];O(a[c]);delete a[c]}Uf=[];ie=a;var a=Vf,d;for(d in a)delete a[d]});u("ee.InitState",{pc:"not_ready",LOADING:"loading",qc:"ready"});u("ee.InitState.NOT_READY","not_ready");u("ee.InitState.LOADING","loading");
+Z.prototype.select=Z.prototype.select;Z.prototype.name=function(){return"ImageCollection"};Z.prototype.elementType=function(){return Y};var Of={};u("ee.Terrain",Of);Of.Oa=!1;Of.Tb=function(){Of.Oa||(N(Of,"Terrain","Terrain"),Of.Oa=!0)};Of.reset=function(){O(Of);Of.Oa=!1};u("ee.initialize",function(a,b,c,d,e){if("ready"!=Pf||a||b){var g=null!=c;if(d)if(g)Qf.push(d);else throw Error("Can't pass an error callback without a success callback.");if("loading"==Pf&&g)Rf.push(c);else if(Pf="loading",Kd(a,b,e),g)Rf.push(c),ve(Sf,Tf);else try{ve(),Sf()}catch(f){throw Tf(f),f;}}else c&&c()});
+u("ee.reset",function(){Pf="not_ready";Gd=Ed=Dd=Cd=null;Hd=[];Fd=null;Id=!1;ma=null;ue={};O(ff);hf=!1;O(zf);Bf=!1;O(P);Ae=!1;O(Y);Lf=!1;O(W);Df=!1;O(S);We=!1;O(Z);Nf=!1;O(X);If=!1;O(Q);Ce=!1;O(V);lf=!1;O(Ef);Gf=!1;O(Xe);Ze=!1;O(T);af=!1;Of.reset();for(var a=k.ee,b=0;b<Uf.length;b++){var c=Uf[b];O(a[c]);delete a[c]}Uf=[];ie=a;var a=Vf,d;for(d in a)delete a[d]});u("ee.InitState",{oc:"not_ready",LOADING:"loading",pc:"ready"});u("ee.InitState.NOT_READY","not_ready");u("ee.InitState.LOADING","loading");
 u("ee.InitState.READY","ready");var Pf="not_ready",Rf=[],Qf=[];u("ee.TILE_SIZE",256);var Uf=[],Vf={};u("ee.Algorithms",Vf);u("ee.call",function(a,b){p(a)&&(a=new L(a));return J.prototype.call.apply(a,Array.prototype.slice.call(arguments,1))});u("ee.apply",function(a,b){p(a)&&(a=new L(a));return a.apply(b)});
-var Sf=function(){if("loading"==Pf){try{gf();Af();ze();Jf();Cf();Ve();Mf();Hf();Be();jf();Ff();Ye();$e();Of.Ub();var a=we(),b={},c={},d;for(d in a){b[-1!=d.indexOf(".")?d.slice(0,d.indexOf(".")):d]=!0;var e=a[d].returns.replace(/<.*>/,"");c[e]=!0}var g=k.ee,f;for(f in b)f in c&&!(f in g)&&(g[f]=Wf(f),Uf.push(f),a[f]?(g[f].signature=a[f],g[f].signature.isConstructor=!0,ue[f]=!0):g[f].signature={});ie=g;Xf()}catch(m){Tf(m);return}Pf="ready";for(Qf=[];0<Rf.length;)Rf.shift()()}},Tf=function(a){if("loading"==
+var Sf=function(){if("loading"==Pf){try{gf();Af();ze();Jf();Cf();Ve();Mf();Hf();Be();jf();Ff();Ye();$e();Of.Tb();var a=we(),b={},c={},d;for(d in a){b[-1!=d.indexOf(".")?d.slice(0,d.indexOf(".")):d]=!0;var e=a[d].returns.replace(/<.*>/,"");c[e]=!0}var g=k.ee,f;for(f in b)f in c&&!(f in g)&&(g[f]=Wf(f),Uf.push(f),a[f]?(g[f].signature=a[f],g[f].signature.isConstructor=!0,ue[f]=!0):g[f].signature={});ie=g;Xf()}catch(m){Tf(m);return}Pf="ready";for(Qf=[];0<Rf.length;)Rf.shift()()}},Tf=function(a){if("loading"==
 Pf)for(Pf="not_ready",Rf=[];0<Qf.length;)Qf.shift()(a)},Xf=function(){var a=xe();qa(a).sort().forEach(function(b){var c=a[b],d=c.n();if(!d.hidden){b=b.split(".");var e=Vf;for(e.signature={};1<b.length;){var g=b[0];g in e||(e[g]={signature:{}});e=e[g];b=Ma(b,1)}g=function(a){return re(c,void 0,Array.prototype.slice.call(arguments,0))};g.signature=d;g.toString=t(c.toString,c);e[b[0]]=g}})},Wf=function(a){var b=function(b){var d=k.ee[a],e=Array.prototype.slice.call(arguments),g=1==e.length;if(g&&e[0]instanceof
 d)return e[0];if(!(this instanceof d))return I(d,e);var d=ye(a),f=!(e[0]instanceof H),m=!1;d&&(g?f?m=!0:e[0].b!=d&&(m=!0):m=!0);if(m)H.call(this,d,qe(d,pe(d,e)));else{if(!g)throw Error("Too many arguments for ee."+a+"(): "+e);if(f)throw Error("Invalid argument for ee."+a+"(): "+e+". Must be a ComputedObject.");e=e[0];H.call(this,e.b,e.c,e.f)}};v(b,H);b.prototype.name=function(){return a};N(b,a,a);return b},oe=function(a,b){if(null===a)return null;if(l(a)){var c=k.ee;switch(b){case "Image":return new Y(a);
 case "Feature":return a instanceof S?M("Feature",M("Collection.geometry",a)):new W(a);case "Element":if(a instanceof P)return a;if(a instanceof V)return new W(a);if(a instanceof H)return new P(a.b,a.c,a.f);throw Error("Cannot convert "+a+" to Element.");case "Geometry":return a instanceof X?M("Collection.geometry",a):new V(a);case "FeatureCollection":case "Collection":return a instanceof S?a:new X(a);case "ImageCollection":return new Z(a);case "Filter":return new Q(a);case "Algorithm":if(p(a))return new L(a);
diff --git a/javascript/build/ee_api_js_debug.js b/javascript/build/ee_api_js_debug.js
index 3d22909..592d86e 100644
--- a/javascript/build/ee_api_js_debug.js
+++ b/javascript/build/ee_api_js_debug.js
@@ -2943,6 +2943,25 @@ goog.dom.safe.setAnchorHref = function(anchor, url) {
   safeUrl = url instanceof goog.html.SafeUrl ? url : goog.html.SafeUrl.sanitize(url);
   anchor.href = goog.html.SafeUrl.unwrap(safeUrl);
 };
+goog.dom.safe.setEmbedSrc = function(embed, url) {
+  embed.src = goog.html.TrustedResourceUrl.unwrap(url);
+};
+goog.dom.safe.setFrameSrc = function(frame, url) {
+  frame.src = goog.html.TrustedResourceUrl.unwrap(url);
+};
+goog.dom.safe.setIframeSrc = function(iframe, url) {
+  iframe.src = goog.html.TrustedResourceUrl.unwrap(url);
+};
+goog.dom.safe.setLinkHrefAndRel = function(link, url, rel) {
+  link.rel = rel;
+  goog.string.caseInsensitiveContains(rel, "stylesheet") ? (goog.asserts.assert(url instanceof goog.html.TrustedResourceUrl, 'URL must be TrustedResourceUrl because "rel" contains "stylesheet"'), link.href = goog.html.TrustedResourceUrl.unwrap(url)) : link.href = url instanceof goog.html.TrustedResourceUrl ? goog.html.TrustedResourceUrl.unwrap(url) : url instanceof goog.html.SafeUrl ? goog.html.SafeUrl.unwrap(url) : goog.html.SafeUrl.sanitize(url).getTypedStringValue();
+};
+goog.dom.safe.setObjectData = function(object, url) {
+  object.data = goog.html.TrustedResourceUrl.unwrap(url);
+};
+goog.dom.safe.setScriptSrc = function(script, url) {
+  script.src = goog.html.TrustedResourceUrl.unwrap(url);
+};
 goog.dom.safe.setLocationHref = function(loc, url) {
   var safeUrl;
   safeUrl = url instanceof goog.html.SafeUrl ? url : goog.html.SafeUrl.sanitize(url);
@@ -4149,6 +4168,22 @@ goog.Promise.all = function(promises) {
     }
   });
 };
+goog.Promise.allSettled = function(promises) {
+  return new goog.Promise(function(resolve, reject) {
+    var toSettle = promises.length, results = [];
+    if (toSettle) {
+      for (var onSettled = function(index, fulfilled, result) {
+        toSettle--;
+        results[index] = fulfilled ? {fulfilled:!0, value:result} : {fulfilled:!1, reason:result};
+        0 == toSettle && resolve(results);
+      }, i = 0, promise;promise = promises[i];i++) {
+        goog.Promise.maybeThenVoid_(promise, goog.partial(onSettled, i, !0), goog.partial(onSettled, i, !1));
+      }
+    } else {
+      resolve(results);
+    }
+  });
+};
 goog.Promise.firstFulfilled = function(promises) {
   return new goog.Promise(function(resolve, reject) {
     var toReject = promises.length, reasons = [];
@@ -4190,11 +4225,11 @@ goog.Promise.prototype.thenVoid = function(opt_onFulfilled, opt_onRejected, opt_
 goog.Promise.maybeThenVoid_ = function(promise, onFulfilled, onRejected, opt_context) {
   promise instanceof goog.Promise ? promise.thenVoid(onFulfilled, onRejected, opt_context) : promise.then(onFulfilled, onRejected, opt_context);
 };
-goog.Promise.prototype.thenAlways = function(onResolved, opt_context) {
+goog.Promise.prototype.thenAlways = function(onSettled, opt_context) {
   goog.Promise.LONG_STACK_TRACES && this.addStackTrace_(Error("thenAlways"));
   var callback = function() {
     try {
-      onResolved.call(opt_context);
+      onSettled.call(opt_context);
     } catch (err) {
       goog.Promise.handleRejection_.call(null, err);
     }
@@ -6022,18 +6057,16 @@ goog.structs.Map.prototype.getValueIterator = function() {
 };
 goog.structs.Map.prototype.__iterator__ = function(opt_keys) {
   this.cleanupKeysArray_();
-  var i = 0, keys = this.keys_, map = this.map_, version = this.version_, selfObj = this, newIter = new goog.iter.Iterator;
+  var i = 0, version = this.version_, selfObj = this, newIter = new goog.iter.Iterator;
   newIter.next = function() {
-    for (;;) {
-      if (version != selfObj.version_) {
-        throw Error("The map has changed since the iterator was created");
-      }
-      if (i >= keys.length) {
-        throw goog.iter.StopIteration;
-      }
-      var key = keys[i++];
-      return opt_keys ? key : map[key];
+    if (version != selfObj.version_) {
+      throw Error("The map has changed since the iterator was created");
     }
+    if (i >= selfObj.keys_.length) {
+      throw goog.iter.StopIteration;
+    }
+    var key = selfObj.keys_[i++];
+    return opt_keys ? key : selfObj.map_[key];
   };
   return newIter;
 };
@@ -9366,8 +9399,8 @@ ee.Geometry.isValidGeometry_ = function(geometry) {
     }
     return !0;
   }
-  var nesting = ee.Geometry.isValidCoordinates_(geometry.coordinates);
-  return "Point" == type && 1 == nesting || "MultiPoint" == type && 2 == nesting || "LineString" == type && 2 == nesting || "LinearRing" == type && 2 == nesting || "MultiLineString" == type && 3 == nesting || "Polygon" == type && 3 == nesting || "MultiPolygon" == type && 4 == nesting;
+  var coords = geometry.coordinates, nesting = ee.Geometry.isValidCoordinates_(coords);
+  return "Point" == type && 1 == nesting || "MultiPoint" == type && (2 == nesting || 0 == coords.length) || "LineString" == type && 2 == nesting || "LinearRing" == type && 2 == nesting || "MultiLineString" == type && (3 == nesting || 0 == coords.length) || "Polygon" == type && 3 == nesting || "MultiPolygon" == type && (4 == nesting || 0 == coords.length);
 };
 ee.Geometry.isValidCoordinates_ = function(shape) {
   if (!goog.isArray(shape)) {
@@ -9414,6 +9447,7 @@ ee.Geometry.makeGeometry_ = function(geometry, nesting, opt_coordinates) {
   if (ee.Geometry.isValidCoordinates_(geometry) != nesting) {
     throw Error("Invalid geometry");
   }
+  1 == geometry.length && 0 == geometry[0].length && (geometry = []);
   return geometry;
 };
 ee.Geometry.createInstance_ = function(klass, args) {
@@ -9641,12 +9675,16 @@ ee.Feature.prototype.name = function() {
   return "Feature";
 };
 ee.List = function(list) {
-  if (!(this instanceof ee.List)) {
+  if (this instanceof ee.List) {
+    if (1 < arguments.length) {
+      throw Error("ee.List() only accepts 1 argument.");
+    }
+    if (list instanceof ee.List) {
+      return list;
+    }
+  } else {
     return ee.ComputedObject.construct(ee.List, arguments);
   }
-  if (list instanceof ee.List) {
-    return list;
-  }
   ee.List.initialize();
   if (goog.isArray(list)) {
     ee.ComputedObject.call(this, null, null), this.list_ = list;
diff --git a/javascript/src/geometry.js b/javascript/src/geometry.js
index e385050..ad5b049 100644
--- a/javascript/src/geometry.js
+++ b/javascript/src/geometry.js
@@ -491,12 +491,12 @@ ee.Geometry.isValidGeometry_ = function(geometry) {
     var coords = geometry['coordinates'];
     var nesting = ee.Geometry.isValidCoordinates_(coords);
     return (type == 'Point' && nesting == 1) ||
-        (type == 'MultiPoint' && nesting == 2) ||
+        (type == 'MultiPoint' && (nesting == 2 || coords.length == 0)) ||
         (type == 'LineString' && nesting == 2) ||
         (type == 'LinearRing' && nesting == 2) ||
-        (type == 'MultiLineString' && nesting == 3) ||
+        (type == 'MultiLineString' && (nesting == 3 || coords.length == 0)) ||
         (type == 'Polygon' && nesting == 3) ||
-        (type == 'MultiPolygon' && nesting == 4);
+        (type == 'MultiPolygon' && (nesting == 4 || coords.length == 0));
   }
 };
 
@@ -597,6 +597,11 @@ ee.Geometry.makeGeometry_ = function(geometry, nesting, opt_coordinates) {
     throw Error('Invalid geometry');
   }
 
+  // Empty arrays should not be wrapped.
+  if (geometry.length == 1 && geometry[0].length == 0) {
+    geometry = [];
+  }
+
   return /** @type {!Array.<*>} */ (geometry);
 };
 
diff --git a/javascript/src/list.js b/javascript/src/list.js
index 897ec33..a6703b0 100644
--- a/javascript/src/list.js
+++ b/javascript/src/list.js
@@ -23,6 +23,8 @@ ee.List = function(list) {
   // Constructor safety.
   if (!(this instanceof ee.List)) {
     return ee.ComputedObject.construct(ee.List, arguments);
+  } else if (arguments.length > 1) {
+    throw Error('ee.List() only accepts 1 argument.');
   } else if (list instanceof ee.List) {
     return list;
   }
diff --git a/python/ee/__init__.py b/python/ee/__init__.py
index e64cb4e..057605f 100644
--- a/python/ee/__init__.py
+++ b/python/ee/__init__.py
@@ -1,7 +1,7 @@
 """The EE Javascript library."""
 
 
-__version__ = '0.1.49'
+__version__ = '0.1.50'
 
 # Using lowercase function naming to match the JavaScript names.
 # pylint: disable=g-bad-name
diff --git a/python/ee/geometry.py b/python/ee/geometry.py
index 883e313..7a73014 100644
--- a/python/ee/geometry.py
+++ b/python/ee/geometry.py
@@ -148,8 +148,7 @@ class Geometry(computedobject.ComputedObject):
     """
     return Geometry({
         'type': 'MultiPoint',
-        'coordinates': Geometry._makeGeometry(
-            coordinates[0], 2, coordinates[1:])
+        'coordinates': Geometry._makeGeometry(2, coordinates)
     })
 
   @staticmethod
@@ -184,8 +183,7 @@ class Geometry(computedobject.ComputedObject):
     """
     return Geometry({
         'type': 'LineString',
-        'coordinates': Geometry._makeGeometry(
-            coordinates[0], 2, coordinates[1:])
+        'coordinates': Geometry._makeGeometry(2, coordinates)
     })
 
   @staticmethod
@@ -202,8 +200,7 @@ class Geometry(computedobject.ComputedObject):
     """
     return Geometry({
         'type': 'LinearRing',
-        'coordinates': Geometry._makeGeometry(
-            coordinates[0], 2, coordinates[1:])
+        'coordinates': Geometry._makeGeometry(2, coordinates)
     })
 
   @staticmethod
@@ -227,8 +224,7 @@ class Geometry(computedobject.ComputedObject):
     """
     return Geometry({
         'type': 'MultiLineString',
-        'coordinates': Geometry._makeGeometry(
-            coordinates[0], 3, coordinates[1:])
+        'coordinates': Geometry._makeGeometry(3, coordinates)
     })
 
   @staticmethod
@@ -250,8 +246,7 @@ class Geometry(computedobject.ComputedObject):
     """
     return Geometry({
         'type': 'Polygon',
-        'coordinates': Geometry._makeGeometry(
-            coordinates[0], 3, coordinates[1:])
+        'coordinates': Geometry._makeGeometry(3, coordinates)
     })
 
   @staticmethod
@@ -272,8 +267,7 @@ class Geometry(computedobject.ComputedObject):
     """
     return Geometry({
         'type': 'MultiPolygon',
-        'coordinates': Geometry._makeGeometry(
-            coordinates[0], 4, coordinates[1:])
+        'coordinates': Geometry._makeGeometry(4, coordinates)
     })
 
   def encode(self, opt_encoder=None):  # pylint: disable=unused-argument
@@ -349,12 +343,15 @@ class Geometry(computedobject.ComputedObject):
       coords = geometry.get('coordinates')
       nesting = Geometry._isValidCoordinates(coords)
       return ((geometry_type == 'Point' and nesting == 1) or
-              (geometry_type == 'MultiPoint' and nesting == 2) or
+              (geometry_type == 'MultiPoint' and
+               (nesting == 2 or not coords)) or
               (geometry_type == 'LineString' and nesting == 2) or
               (geometry_type == 'LinearRing' and nesting == 2) or
-              (geometry_type == 'MultiLineString' and nesting == 3) or
+              (geometry_type == 'MultiLineString' and
+               (nesting == 3 or not coords)) or
               (geometry_type == 'Polygon' and nesting == 3) or
-              (geometry_type == 'MultiPolygon' and nesting == 4))
+              (geometry_type == 'MultiPolygon' and
+               (nesting == 4 or not coords)))
 
   @staticmethod
   def _isValidCoordinates(shape):
@@ -369,8 +366,7 @@ class Geometry(computedobject.ComputedObject):
     if not isinstance(shape, collections.Iterable):
       return -1
 
-    shape = list(shape)
-    if isinstance(shape[0], collections.Iterable):
+    if shape and isinstance(shape[0], collections.Iterable):
       count = Geometry._isValidCoordinates(shape[0])
       # If more than 1 ring or polygon, they should have the same nesting.
       for i in xrange(1, len(shape)):
@@ -379,8 +375,8 @@ class Geometry(computedobject.ComputedObject):
       return count + 1
     else:
       # Make sure the pts are all numbers.
-      for i in xrange(0, len(shape)):
-        if not isinstance(shape[i], numbers.Number):
+      for i in shape:
+        if not isinstance(i, numbers.Number):
           return -1
 
       # Test that we have an even number of pts.
@@ -400,7 +396,7 @@ class Geometry(computedobject.ComputedObject):
     Returns:
       An array of pairs of points.
     """
-    if isinstance(coordinates[0], numbers.Number):
+    if coordinates and isinstance(coordinates[0], numbers.Number):
       line = []
       if len(coordinates) % 2 != 0:
         raise ee_exception.EEException('Invalid number of coordinates: %s' %
@@ -413,7 +409,7 @@ class Geometry(computedobject.ComputedObject):
     return coordinates
 
   @staticmethod
-  def _makeGeometry(geometry, nesting, opt_coordinates=()):
+  def _makeGeometry(nesting, opt_coordinates=()):
     """Check that the given geometry has the specified level of nesting.
 
     If the user passed a list of points to one of the Geometry functions,
@@ -422,9 +418,8 @@ class Geometry(computedobject.ComputedObject):
     Polygon(1,2,3,4,5,6) and Polygon([[[1,2],[3,4],[5,6]]])
 
     Args:
-      geometry: The geometry to check.
       nesting: The expected level of array nesting.
-      opt_coordinates: A list of extra coordinates to decode.
+      opt_coordinates: A list of all the coordinates to decode.
 
     Returns:
       The processed geometry.
@@ -436,16 +431,17 @@ class Geometry(computedobject.ComputedObject):
       raise ee_exception.EEException('Unexpected nesting level.')
 
     # Handle a list of points.
-    if isinstance(geometry, numbers.Number) and opt_coordinates:
-      coordinates = [geometry]
-      coordinates.extend(opt_coordinates)
-      geometry = Geometry._coordinatesToLine(coordinates)
+    if (len(opt_coordinates) == 1 and
+        isinstance(opt_coordinates[0], (list, tuple))):
+      geometry = opt_coordinates[0]
+    else:
+      geometry = Geometry._coordinatesToLine(opt_coordinates)
 
     # Make sure the number of nesting levels is correct.
     item = geometry
     count = 0
-    while isinstance(item, list) or isinstance(item, tuple):
-      item = item[0]
+    while isinstance(item, (list, tuple)):
+      item = item[0] if item else None
       count += 1
 
     while count < nesting:
@@ -455,6 +451,9 @@ class Geometry(computedobject.ComputedObject):
     if Geometry._isValidCoordinates(geometry) != nesting:
       raise ee_exception.EEException('Invalid geometry.')
 
+    # Empty arrays should not be wrapped.
+    if list(geometry) in ([[]], [()]): geometry = []
+
     return geometry
 
   @staticmethod
diff --git a/python/ee/tests/geometry_test.py b/python/ee/tests/geometry_test.py
index 86ded15..1c120bf 100644
--- a/python/ee/tests/geometry_test.py
+++ b/python/ee/tests/geometry_test.py
@@ -18,6 +18,7 @@ class GeometryTest(apitestcase.ApiTestCase):
   def testValid_MultiPoint(self):
     """Verifies MultiPoint constructor behavior with valid arguments."""
     self.assertValid(2, ee.Geometry.MultiPoint, 1, 2, 3, 4, 5, 6)
+    self.assertValid(1, ee.Geometry.MultiPoint)
 
   def testValid_LineString(self):
     """Verifies LineString constructor behavior with valid arguments."""