The second one below can be considered to be a floral design with many layers of petals of various shapes. Again add colourful lines parallel to the white design to get this simple but beautiful rangoli. A white version of this rangoli has been uploaded in colouring page - rangoli. Comparing both will give us an idea how colours can influence the attractiveness of a rangoli design.
The rangoli below is also a simple free hand rangoli design, can be drawn at the entrances of apartments where space is a constraint.. Draw the central design and around it draw four motifs as shown. On these draw simpler designs or motifs. Finish the design with colours. Now using white rangoli powder make some more decorations to the rangoli. This can be used as a central design for a bigger rangoli.
Some simple rangoli have been posted above. My stock of colour rangoli powder is depleting fast and I have to make necessary arrangements. Hence I have opted for drawing parallel colour lines in many areas instead of filling up the designs or the gaps. After all, necessity is the mother of all inventions - this is not an invention in the literal sense, only an adaptation to the situation.
For beginner level free hand rangoli with video please go to easy rangoli designs for beginners.
Flower rangoli with dots are in kolam for Akshaya Tritiya
Free hand rangolis for Diwali, Navaratri are available in Rangoli-sans-dots for reference