I happen to find a few photos in which I find lines and patterns when I look up at the top of buildings or the ceiling.
There is an intrinsic beauty to circles and curves that I like. They also lend themselves to architectural designs throughout the ages. The most famous of those, in my opinion, is the Sydney Opera House, which essentially is a dissection of a sphere (a 3-D circle) and a re-arrangement the segments by its architect Jorn Utzon (see Footnotes below). Because of its curvature, I find it aesthetically more appealing than designs focusing on straight angles.
Since an arc is also part of a circle, there are so many examples of arc forms, and I just love the Gothic and neo-Gothic designs.
Moving closer to modern day designs, the spiral staircase inside the Louvre is a surprise element in the midst of sharp angles one encounter inside and outside the museum. The arcs of the glass ceiling also soften the lines of the overall architecture of the place.
Finally, I want to add this pretty paved walk in Macau, because it blends in so seamlessly with the architecture of the Portuguese style houses in this neighbourhood built during the time of colonization, now preserved as a cultural heritage site.
John Utzon writes,” After three years of intensive search for the a basic geometry for the front complex I arrived in October 1967 at the spherical solution shown here. I call this the “key to my shell” because it solves all the problems of construction by opening up for mass construction, precision in manufacturing and simple erection and with this geometrical system I attain fair harmony between all the shapes in this fantastic complex.”