A spacious zoo which hosts only animals that can be found in the region naturally. In fact many of the animals roam the area freely and are not kept in cages. Don't miss the Museo del Cocodrilo while you're here.
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COCYTECH
A museum for all of the science lovers out there. Anthropological and zoological exhibits, etc.
Nature preserve and swimming pool. (May want to take a look at the color of the water before jumping in.).
If you want some stellar views of Tuxtla Gutierrez, this is a great place to get them. Also has some stations of the cross stuff, and a Jesus silhouette within the main cross statue itself.
Another Catholic church, this one with notable stained glass and a painting. Lots of pigeons when you're hanging around the bell tower outside.
The state government buildings.
A museum about the history of coffee along with various art and coffee sampling.