Trim the rind from the base of the orange so that it sits flat on your platter or in your bowl. Trim the stems of your tulips to 6 inches in length. Remove leaves or excess foliage so that the stem of each tulip is smooth.
Cut each drinking straw to match the size of the tulip stems.
Insert the tip of the pencil into the top of the orange until it is halfway through. Remove the pencil, leaving a hole through the center of the orange for your flowers.
Insert a drinking straw into the hole you created with your pencil. Place the tulip into the drinking straw. The straws keep the flowers standing upright in the oranges. Repeat steps 1 through 3 until each orange contains a tulip.
Gather the oranges in a circle on your platter or in your bowl, alternating between pink and purple tulips.