Note: When rendering the spherical kaleidoscopes, the image map must be placed in the middle of a much larger solid-colored background image. When this image is projected onto the sphere, only the image map itself will be visible, as it falls within the spherical triangle to be tessellated. Because a spherical triangle bulges out at each side (if flattened), spherical kaleidoscopes rely upon trios of angles whose sum is greater than 180 degrees.