Typescript - multidimensional array initialization

You only need [] to instantiate an array - this is true regardless of its type. The fact that the array is of an array type is immaterial.

The same thing applies at the first level in your loop. It is merely an array and [] is a new empty array - job done.

As for the second level, if Thing is a class then new Thing() will be just fine. Otherwise, depending on the type, you may need a factory function or other expression to create one.

class Something {
    private things: Thing[][];

    constructor() {
        this.things = [];

        for(var i: number = 0; i < 10; i++) {
            this.things[i] = [];
            for(var j: number = 0; j< 10; j++) {
                this.things[i][j] = new Thing();
            }
        }
    }
}

If you want to do it typed:

class Something {

  areas: Area[][];

  constructor() {
    this.areas = new Array<Array<Area>>();
    for (let y = 0; y <= 100; y++) {
      let row:Area[]  = new Array<Area>();      
      for (let x = 0; x <=100; x++){
        row.push(new Area(x, y));
      }
      this.areas.push(row);
    }
  }
}