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In this work, we propose a new model for the dielectric constant and thermal conductivity, and apply it to the design of composites with low dielectric constant and high thermal conductivity based on fractal theory and effective medium theory. In particular, we use this model to prepare porous AlN/BN/SiOC composites with low dielectric constant and high thermal conductivity in different component fractions. We successfully synthesize ceramic samples with low dielectric constants (<3) and high thermal conductivity (≥2W⋅m−1⋅K−1). These results indicate that the proposed fractal design is valid.