Shopping is the main business of the visitors. The main shopping streets are San Blas and Camilo Recalde, where you can buy almost anything. Many people come for electronics. Otherwise, get some Paraguayan Chipa and/or exchange your dollars here. You probably do not need to get your passport stamped if you return to Brazil afterwards, as long as you have a valid visa for Brazil.
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Argentina–Brazil–Paraguay tripoint
The place where Brazil, Argentina and Paraguay meet. Each side has its own Marco (landmark). Have a look at Argentina, Brazil and Paraguay, all in the same glimpse of the eye while there are cargo freighters making their way slowly along the water. Bus line 110 leaving from the Downtown Terminal whose final destination is the landmark. There is a new visitor center and a museum on the Brazilian side. It has a wall around it, so you cannot see the Brazilian border mark without paying. It's now a tourist attraction with live shows in the evening.
Argentinian border mark is easily accessible even by walk from the center, or by bus. Paraguayan mark is quite far from the city, accessible by buses from the centre (Av. General Bernardino Caballero), take a bus labelled Tres Fronteras (destination, not the company name) and ask for La Balsa (the ferry), ask to get out in front of the huge gate.
Itaipu Binacional
The Itaipu Hydroelectric Plant is the largest electric power generator in the world and was considered to be one of the seven wonders of the modern world by the American Society of Civil Engineering. Booking in advance is recommended for special tour and/or on weekends/public holidays. There are many tourism attractions available, but the panoramic tour and of the dam is a must.
Birds Park
It is very close to the entrance of the falls, you can take a self-guided tour of the park to come in close contact with all different types of exotic birds. There may also be chances to hold and take pictures with the birds. The Birds Park is considered an ecological sanctuary. It is located near the Iguaçu National Park in a 16-hectare area of native woods. A paved trail leads visitors to the enormous aviaries that blend in with the forest and allow you to know approximately 900 birds from 180 species. The Park also has a butterfly section with 25 species and a reptile section as well. All of these animals can be seen from a distance of only a few meters. The park also has luggage lockers (+R$10), a parking lot, a souvenir shop and a snack bar.
Cataratas do Iguaçu
One of the most famous attractions in Brazil, the falls on the Iguaçu River have a flow capacity equal to three times that of Niagara Falls. The falls are shared between Brazil and Argentina, and each side has its own network of trails and viewpoints. The National Park on the Brazilian side runs a shuttle bus between the Visitors' Centre, the falls, and numerous outdoor tour operators, including boat rides run by Macuco Safari out to the bottom of the falls. Luggage lockers available (+R$20/day). You can buy your ticket on-site with a ticket vending machine, or online. Your ticket comes with an entry time (and date). If there are many people, expect to wait 30 min just to buy the ticket. Then even if you've bought the ticket on-site, you might need to wait another 2-4 hours, depending on the entry time you get (maybe buy online in advance, then you know at least your entrance time). Expect at least another hour queuing up for the actual entrance and shuttle buses, if the queue already starts outside the building in the tents. On the way back, expect another 30 min queuing time for the shuttle bus on very busy days.