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To test the hypothesis that megaparsec-scale giant radio galaxies (GRGs) have multiple epochs of recurrent activity which lead to their giant sizes and to understand the nature of double-double radio galaxies (DDRGs), we have built the largest sample of giant DDRGs from the LOFAR Two Metre Sky Survey (LoTSS). The sample consists of 111 sources, of which 76 are newly identified. Their redshift and total projected size ranges are between 0. 06 to 1. 6 and 0. 7 Mpc to 3. 2 Mpc, respectively. We conducted a detailed analysis to characterise their properties, including arm-length ratios, flux density ratios of pairs of lobes, and misalignment angles. These measurements allow us to study the symmetry parameters, which are influenced by the immediate and large-scale environments of DDRGs. Our study conclusively shows that the cocoons in which the inner lobes of DDRGs grow are often contaminated with surrounding material from the external medium, leading to observed asymmetries in the inner lobes. Our analysis also reveals highly misaligned DDRGs, which could be due to environmental factors and/or changes in the supermassive black hole jet ejection axes. By studying the misalignment angles, we assess the stability of the jets in these systems in relation to their environment. Additionally, we have also characterised the large-scale environments of DDRGs, identifying them within dense galaxy clusters and studying how cluster weather significantly affects their morphologies. Interestingly, we have identified two gigahertz peaked-spectrum (GPS) candidates in the unresolved cores of the DDRGs, as well as one triple-double candidate, which, if confirmed, would be only the fifth known case. Additionally, we have discovered a DDRG in a distant galaxy cluster at z\, 1. 4. Abridged.
Dabhade et al. (Sat,) studied this question.