How do you get emotion out of an egg without drawing some sort of face on it? Well, how about using light and camera angles? when you change the light on the egg and the angles you shoot from, you should be able to get shadows of different kinds. The looks should produce different feels or emotions. There isn't a lot of equipment needed, a camera and a light. You can use various backgrounds when doing this exercise.
You want to think about camera position and focal length, that's going to change the proportions of the egg. It's going to give you a very different look in terms of how long the egg is, how fat it is. Consider the entire frame, think about what you want in the background. Factor how much space you want in the frame. A small egg in a very big, empty frame is different than a dramatically imposing egg with sinister lighting coming from behind. It's sort of like the shape of someone's head or the roundness of their body.
We will start with the egg on a white surface and position a light behind and above the egg. Position the camera at least 10 inches above the egg. Observe the shadows and highlights. Use you exposure compensation settings to account for the white on white subject.
Now experiment with the light at different positions, include front and side lighting. Also take sone with the light above your subject. You should look for changes in the image that the casual observer of the picture might not consciously look for in them.
Some technical notes. All light sources have a characteristic spectrum that affects the color cast of the objects illuminated by the light. Color casts is also related to color temperature. Light temperatures are measured by a unit called a Kelvin (K). The number of Kelvins goes up the scale from warm to cool temperatures. Here's an example: a candlelight has a color temperature in the range of 1000 to 2000K, incandescent light goes from 2,500 to 3,500K, a clear sky at sunrise or sunset is about 3,000 to 4,000K, clear daylight has from 5,000 to 6,500K, and shade or overcast sky goes from 6,500 to 10,000K. Using the wrong white balance setting or custom setting will produce various casts. That's OK when trying to create artistic effects. When it's not OK, there are various filters available for lenses that will compensate for color casts.
It's good to know that each source of light will have its own color temperature. Knowing this will allow you to know how to compensate for it when taking photos.