The journal Nature has posted a simplified but surprisingly entertaining and informative Mars terraforming simulation. For each of the five steps in the process: heat the planet, make a water plan, clean the dirt, start to farm, and make an atmosphere safe for people, you select an option from a list of choices. Each step is scored, and links are provided to further reading about your choice.
For a more complex take on making the red planet habitable, try the Terraforming Mars board game, but be sure to set aside a few hours. The game takes a while to learn and two to three hours to play, but it is considered one of the best modern tabletop games. It is also available as a well-implemented video game on Steam.
Nature's simulation concludes with a brief paragraph on whether we should even consider terraforming Mars in the first place. "Some researchers object to the idea of terraforming Mars because they worry that it would detract from efforts to safeguard Earth's environment — and would use valuable resources that could help our own planet. What's more, many scientists are careful to note that terraforming Mars is not something that has to be done; leaving it alone is a perfectly valid choice."
For a thoughtful, humorous, easy read on the topic, I highly recommend Kelly and Zach Weinersmith's A City on Mars: Can we settle space, should we settle space, and have we really thought this through? The husband and wife team intended to write a how-to guide on Mars settlement, but their research led them to question the entire premise of off-world colonies.
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