AilSnail:
Good idea. I've been thinking about the best way to do this for quite a while.
You'd have to arrange your emitter direction and spacing such that the percentage of light gathered by each emitters reflector is MORE than the percentage of total light generated by the emitter.
Example:
If in the above configuration, due to the emitter not having a reflector surrounding it completely, each reflector only caught 20% of the emitters light, then the hotspot of the 3 petal configuration would only be marginally brighter than a single LED within one reflector that catches 50% of the single LED's light (the spill light would obviously be brighter). This is because with the single, you've put 50% of 1 LED into the projected beam - let's call that 0.5L. With the 3 and petal, you'd get 3 * (0.2L) = 0.6L in the beam.
With your configuration, the petals would have to be rather large. A better setup would be to angle the emitters to the side, or even slightly towards the back of the reflector, catching more light from each emitter (inverted truncated pyramodal heat sink block).
Someone could construct such a beast by mounting 3 or 4 emitters on a piece of square aluminum stalk, then cutting and merging 3 or 4 large (mag or whatnot) reflectors together. You would have to place the emitters such that they're at the focal point of their respective reflector. The resulting reflector profile might appear light a fat clover of sorts: 3 or 4 circles merging together. Might be an interesting experiment. Might be worth spending $12-$15 on mag reflectors.