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None, they're all curved. A classic football (seldom used anymore) has 20 hexagons and 12 pentagons. The current Adidas Jabulani has 8 panels.
Thermal panels are panels that are used to get other energy from heat. They are commonly used for water heating.
Fabric panels can be used for a multitude of things. One of the best uses for fabric panels is to make quilts. Fabric panels can also be used to make creative gifts.
Polycarbonate panels are used as substitutes for glass and plastic such as in windows. You can purchase polycarbonate panels from retailers such as Amazon.
Many panels do not have a ground buss. Look for a set of screws mounted directly on the back of the panel adjacent to the breaker outputs. These are to be used for the ground wires. Square D panels are one of many that use this configuration.
A "petagon" is not a recognised word. If you meant a pentagon, there need not be any. Footballs made of pentagon and hexagon panels have not been used in World Cup football for several years: the Jabulani design used in South Africa (2010) and the the Brazuca in Brazil (2014).
Bath panels are used to conceal the underside of a bath, from the rim down to the floor, often with toe recess. Bath panels can be at Gum Tree and Victoria Plumb.
Generally, there are 32 panels. A link is provided to the Wikipedia post on the ball used in football (soccer). New designs feature other construction techniques and different shapes (and numbers) of the panels.)
They are used everywhere.
on Pluto
Solar panels are used to power homes and business's. Solar panels are bundles of wired photovoltaic cells contained in a single block to produce electricity by absorbing the sun's photons.