The paper presents a fault-tolerant one-way quantum computer based on cluster states in three dimensions. The scheme utilizes topological error correction, linking cluster states to surface codes. The error threshold is 1.4% for local depolarizing error and 0.11% for each source in an error model with preparation-, gate-, storage-, and measurement errors. The quantum computation is performed on a three-dimensional cluster state via a sequence of one-qubit measurements, with the cluster lattice subdivided into regions for vacuum, defects, and singular qubits. The Reed-Muller code is used to enable fault-tolerant measurement of encoded observables, while topological error correction is achieved through engineered lattice defects. The paper details the measurement pattern, the role of the Reed-Muller code, and the construction of the algorithm-specific resource. The error sources, error correction, and fault-tolerance threshold are also discussed, with two error models considered: a simple one and a more realistic one.The paper presents a fault-tolerant one-way quantum computer based on cluster states in three dimensions. The scheme utilizes topological error correction, linking cluster states to surface codes. The error threshold is 1.4% for local depolarizing error and 0.11% for each source in an error model with preparation-, gate-, storage-, and measurement errors. The quantum computation is performed on a three-dimensional cluster state via a sequence of one-qubit measurements, with the cluster lattice subdivided into regions for vacuum, defects, and singular qubits. The Reed-Muller code is used to enable fault-tolerant measurement of encoded observables, while topological error correction is achieved through engineered lattice defects. The paper details the measurement pattern, the role of the Reed-Muller code, and the construction of the algorithm-specific resource. The error sources, error correction, and fault-tolerance threshold are also discussed, with two error models considered: a simple one and a more realistic one.