In the photographs, the couple reveal their penchant for minimalist decor, with the home featuring vast all-white hallways and bare walls.
The Los Angeles mansion, where Kardashian and West live with their four children â€“ North, Saint, Psalm, and Chicago â€“ took four years to renovate.
Belgian architect Vincent Van Duysen is credited for designing North Westâ€™s room, which is decorated in a vivid shade of candy-coloured pink, leading fans to compare it to something out of a Wes Anderson film.
Kardashianâ€™s home also features a fibreglass sculpture by acclaimed British sculptor Anish Kapoor, in addition to white tables and chairs by Jean RoyÃ¨re.
Speaking about Van Duysenâ€™s aesthetic, West told Architectural Digest: â€œWhen I saw the kind of work he was doing, I thought, this man could design Batmanâ€™s house. I had to work with him.â€
In a Q+A video accompanying the magazine photoshoot, Kardashian explained to West why she loved their homeâ€™s minimalist aesthetic.
â€œI donâ€™t think I started off so minimal, but after being with you I became more minimal,â€ she said.
â€œFor me, itâ€™s like how I organise and how I get things done. I know where everything is, thereâ€™s a place for everything, even if itâ€™s hidden in the wall in a cabinet you canâ€™t see.â€
Kardashian said that given how busy her daily life is, she loves to â€œcome home to full simplicityâ€, adding that the decor is â€œso calmingâ€.
The reality TV star went on to say she has yet to swim in the coupleâ€™s swimming pool despite having lived in the home for three years.
â€œIâ€™ve never used our pool actually,â€ she tells West. â€œCan you believe that? But I love our pool.â€
The mother-of-four added that the pool is heated â€œlike a jacuzziâ€ and it is frequently used by the coupleâ€™s children.
West explained that a priority for the home was to ensure it was child-friendly.
â€œIn the backyard there were all these stairs and we needed the kids to be able to ride their skateboards around, so as many places as I could take the stairs out I did,â€ he said.
West added that the dearth of furniture in the home makes it perfect for children to play inside.
â€œThe kids ride their scooters down the hallways and jump around on top of the low Axel [Vervoordt] tables, which they use as a kind of stage,â€ he said.
â€œThis house may be a case study, but our vision for it was built around our family.â€