Updated project metadata. Mammalian chromosomes are folded into intricate hierarchies of interaction domains, within which topologically associating domains (TADs) and CTCF-associated loops partition the physical interactions between regulatory sequences. Current understanding of chromosome folding largely relies on chromosome conformation capture (3C)-based experiments, where chromosomal interactions are detected as ligation products after crosslinking of chromatin. To measure chromosome structure in vivo, quantitatively and without relying on crosslinking and ligation, we have implemented a modified version of damID named damC. DamC combines DNA-methylation based detection of chromosomal interactions with next-generation sequencing and a biophysical model of methylation kinetics. DamC performed in mouse embryonic stem cells provides the first in vivo validation of the existence of TADs and CTCF loops and confirms 3C-based measurements of the scaling of contact probabilities. Combining damC with transposon-mediated genomic engineering shows that new loops can be formed between ectopically introduced and endogenous CTCF sites, which alters the partitioning of physical interactions within TADs. This orthogonal approach to 3C provides the first crosslinking- and ligation-free validation of the existence of key structural features of mammalian chromosomes and provides novel insights into how chromosome structure within TADs can be manipulated.