I have a similar thing with flat roofs. They are terrible. When you are 5 years old, you already learn to draw houses with a pointy roof. The pointy roof has been invented about a 100 times in history, as people were looking for the best shape. The wave shaped roof tile with 2 waves per tile has been invented about 3 times in history as people were looking for the best shape. The advantages of a pointy roof over a flat roof:

• Rain flows off. Yes, you can give a flat roof a small inclination, but rain will not flow as well, and if your roof tilts a small bit during the decades, it can become horizontal again.
• Snow falls off, reducing the chance that the roof collapses under the weight of heavy snow.
• It is lighter and cheaper, as you can use thinner materials. This is because pointy is a stronger shape than flat.
• It gives more interior space.
• It allows more sunlight to reach the street.
• It has a smaller area-to-vloume-ratio through with heat can escape.
• Solar panels get a higher efficiency.
• It allows the roof to be made out of wavy roof tiles which provide the following advantages:
• Roofs designed with wavy roof tiles can be constructed when it rains.
• When a tile breaks, you can easily replace it, without having to cut it loose from the tiles next to it.
• Roof tiles do not fracture upon an uneven heat distribution. Meanwhile, the advantages of flat roofs are:
• If you design an apartment building, you can copy and paste the interior. (Thus less work for the architect.)
• A horizontal line is one segment less to draw compared to two diagonals. (Thus less work for the architect.)
• If a city has the same height restrictions for flat roofed buildings as for pointy roofed buildings, and the architect is too lazy to go to the city council to explain to them that that doesn't make sense, the architect can design a building with more volume by making the roof flat. In other words: the only reason any architect would design a building with a flat roof is because they are either lazy or they have no idea what they are doing.