Not sure if this falls within the scope of what you’re thinking, but radiation shielding is gonna be a big part of figuring out how to make it on mars.
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Oxygen. Heating/cooling. Water. Food. Electricity. Radiation shielding. Medical supplies. Spare parts for equipment repair. Roughly in that order of precedence.
Also need to factor in waste management as well. With sufficient bacteria and time, the effluents can be converted to compost. It will take a ton of algae bioreactors to prevent the CO2 generated from becoming toxic. Packaging can be buried, but I think it would be better if it was compostable as well.
We also need to consider fire suppression. A fire in a low gravity and/or high oxygen environment is going to be dangerous quickly and could harm critical systems. The fire suppression material itself could also imbalance the environment and , at minimum, could be a big hassle to clean up.
In regards to food growth, aeroponics can be fine tuned and automated, but this works best for leafy vegetables. Keep in mind that Mars doesn’t have the inert Nitrogen atmosphere that Earth does, so nitrogen fixing doesn’t work to our benefit, which means we’ll need to acquire sources of bio available nitrogen.
Phosphorous may also be a problem, since our best stores of that currently come from bird and bat guano.
oxygen could be produced from water and electricity though.
Heating/cooling: when you're exposed to 20°C water, it feels much colder than if you're exposed to 20°C air. That is because water has a higher density, and transports heat away from your body much faster. Now, mars has a very thin atmosphere. That means that it transports heat away from your body much more slowly. So even if it has -50°C, it will not feel likek -50°C on earth. Because you will feel only a fraction of that coldness.
Your Mars house will need pressurization, and some sort of airlock if you're planning on coming and going.
Hmm yeah, airtight buildings are a challenge to construct.
That's why I've favored the people on Mars living in the spaceships. The building already exists, and is naturally air-tight (after all, it has been airtight for 6 months in outer space). But that has its downsides: less protection against radiation, mostly. (due to only having 5mm of steel and 200 kg/m² CO2 above your head instead of meters full of dirt and rock.)
Off the top of my head, you could get some solar power with a massive array. It’s possible to generate oxygen from the Martian atmosphere, as NASA recently proved.
I would think any permanent structure on Mars is going to be more like the ISS except underground. So, basically everything will have to be resupplied from Eart. There could be some in-situ resource utilization but it’d be challenging.
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