Constructor overload in TypeScript

TypeScript allows you to declare overloads but you can only have one implementation and that implementation must have a signature that is compatible with all overloads. In your example, this can easily be done with an optional parameter as in,

interface IBox {    
    x : number;
    y : number;
    height : number;
    width : number;
}
    
class Box {
    public x: number;
    public y: number;
    public height: number;
    public width: number;

    constructor(obj?: IBox) {    
        this.x = obj?.x ?? 0
        this.y = obj?.y ?? 0
        this.height = obj?.height ?? 0
        this.width = obj?.width ?? 0;
    }   
}

or two overloads with a more general constructor as in,

interface IBox {    
    x : number;
    y : number;
    height : number;
        width : number;
}
    
class Box {
    public x: number;
    public y: number;
    public height: number;
    public width: number;

    constructor();
    constructor(obj: IBox); 
    constructor(obj?: IBox) {    
        this.x = obj?.x ?? 0
        this.y = obj?.y ?? 0
        this.height = obj?.height ?? 0
        this.width = obj?.width ?? 0;
    }   
}

See in Playground