We present a new teaching and outreach activity based around the construction of a three-dimensional chart of isotopes using LEGO® bricks. The activity, "binding blocks", demonstrates nuclear and astrophysical processes through a seven-meter chart of all nuclear isotopes, built from over 26000 LEGO® bricks. It integrates A-Level and GCSE curricula across areas of nuclear physics, astrophysics, and chemistry, including: nuclear decays (through the colours in the chart); nuclear binding energy (through tower heights); production of chemical elements in the cosmos; fusion processes in stars and fusion energy on Earth; as well as links to medical physics, particularly diagnostics and radiotherapy.