The paper consists of an investigation and discussion of attempts to draw diagrams of Peirce’s notion of unlimited semiosis. A recent attempt to conceptualize unlimited semiosis in terms of Representamen-Object-Interpretant found in Daniel Chandler’s popular Semiotics: The Basics is examined and criticized for an unnecessary multiplication of objects in the process of unlimited semiosis. An alternative strategy for diagrammatic representations in terms of Representamen-Object-Interpretant utilizing the notions of iconicity, indexicality, and symbolicity on different levels, without new objects, is proposed and explained.