There is no limit. Any shape you wish! While it is typically the figure 8 shape, pineapples and various triangles are common. Cigar and lunch box shapes are common as well. Other shapes can be used, but the more complex, the harder to make and the less likely to have the proper sound qualities.
The ukulele is based on a small instrument from Portugal called the machete which in turn is a variation of the cavaquinho. They look much like a miniature guitar, but come in many other shapes as well.
Ukulele has four syllables.
The Ukulele Orchestra of Great Britain uses them exclusively. Many Hawaiian groups concentrate on the ukulele.
Certainly, you can find them in most ukulele instruction books and many web sites. If you search for "Ukulele diagram" you will find many examples of labelled ukuleles.
There are four syllables in ukulele. oo-koo-lay-lay.
There are many ways of making an ukulele. There are a few standard shapes and sizes, but a wide variety of possibilities. The quality can be a difference in manufacturing, which can make a big difference in sound.
There are four strings on an ukulele. So you would have four notes.
The ukulele is a stringed instrument of the plucked lute family. Many groups use the ukulele, Train is one of the current ones.
The ukulele can be shaped in a wide variety of manners. The traditional is shaped like a small guitar, the body is effectively like a peanut or figure 8 that is bigger at the bottom. The pineapple shape is also very popular. There is no limitations on shape as long as the sound qualities can be maintained. And then there is the fret board which is just a long narrow rectangle coming from the top of the ukulele and the headstock on top of that, which can come in many different shapes and sizes.
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Can't tell from the cover. It may be a custom made instrument, but there are no distinctive markings or shapes to it. It isn't a Fender.
The ukulele is gaining popularity and shows up in many compositions today. One of the most recent is "Hey Soul Sister" by Train that starts with the ukulele.