The document discusses three useful ideas for exploring artefact cards: 1) Finding Synergies by generating ideas and making connections between ideas, 2) Making Maps by forming two axes and placing ideas to fit on the map and see relationships, and 3) Exploring Systems by describing systems with metaphors, populating them with examples, and sketching versions of systems. The document provides examples for each idea and encourages the reader to think, write, explain, and place their own ideas.