The entrance is on Route 90 and looks like this:
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Later we went to Timna Park, which is not a National Park but still very interesting. We went on a tour, which I think is the only way to go to this park. Timna Park has many amazing geological formations to look at and climb on but really, what it was was an early iron mine. The iron in the rocks was from detrital sediments and was revealed to us when the tour guide poured some water on the ground. Pretty cool.
That evening we stayed at a funky place...the SNPI Field School in Eilat. Six bunk beds, four of us, it was weird but fairly affordable. And we hear that's how the Israeli families get around the country on the cheap. It was right across the road from the Coral Reef we snorkeled around in earlier. There was a view of the Red Sea (if you squint).