Working with different colors in crochet can be easily achieved with stripes, working separate pieces in different colors.
Working shapes or geometric patters such as circles, triangles or image shapes is a different story.
Much like fair isle or intarsia knitting, you carry yarn in back or work with different color bobbins.
Geometric patterns are so much a trend right now in home decor. The simplest circle or triangle can be worked with maximum effect.
Retro picture images are also very popular. Think background in color tapestry and making the project 3-dimensional with added embellishment.
Hopefully you will be inspired by the many ideas, helpful tutorials and videos to get you started coloring your world!