Contemporary information systems have to satisfy needs of agile and viable enterprises. They shall include mechanisms of business intelligence, business process management, information technology infrastructure management, and alignment between business and computer systems. The mechanisms for business process handling and computer systems handling are similar, and the mechanisms for their continuous integrated improvement also are similar, therefore the architecture of information systems components that support these processes can have a measure of similarity if considered at a particular level of abstraction. The paper, focusing on aforementioned similarities, uses St. Alter's work systems paradigm for constructing fractal architecture of information systems that can be used for supporting agile and viable organizations.