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The study of protoplanetary disks is fundamental to understand their evolution and interaction with the surrounding environment, and to constrain planet formation mechanisms.\n  Aims. We aim at characterising the young binary system HD 34700 A, which shows a wealth of structures.\n  Methods. Taking advantage of the high-contrast imaging instruments SPHERE at the VLT, LMIRCam at the LBT, and of ALMA observations, we analyse this system at multiple wavelengths. We study the rings and spiral arms morphology and the scattering properties of the dust. We discuss the possible causes of all th","authors_text":"\\'A. Ribas, A. Zurlo, C. Dominik, C. Ginski, C. Rab, D. Mesa, E. Rigliaco, F. Menard, G. Columba, J. Bae, J. P. Williams, M. Benisty, N. Engler, P. Delorme, P. Pinilla, R. Gratton, R. G. van Holstein, S. Facchini, T. Birnstiel, V. D'Orazi, V. 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