This flower's spokes are not just made from straight stitches, but long chain stitches. Once the whipping is done, the sides of each chain are pulled together to form the diamonds at the top. This is from Jane Nicholas' book Stumpwork Embroidery.
Needle Weaving on fabrics..... Il Piacere del ricamo: Nuova stellina cilaos
Petal Chain Stitch - One of 48 very well written tutorials with step by step photos by Sarah. ~ Picture Dictionary for all 48 Tutorials found: http://www.embroidery.rocksea.org/reference/picture-dictionary
needle weaving - Bing Images
This is really cute! My first try didn't look do pretty though!
trailing feather stitch
Bigú Handmade: Bordado de Servilleta... Más
Picture tutorial: Basket from string - in Chinese, but pictures tell most of the story
Braided chain stitch--will be a cool detail on something... This entire blog is AMAZING, full of easy-to-follow instructions on just about any stitch you can think of.
Chain variation - it probably has a name but as this is a new stitch to me I have no idea what it is!