The invention relates to a LED lamp comprising a gear column which is connected, at its first end, to a lamp cap and, at its other end, to a substrate. Said substrate comprises a number of LEDs. According to the invention, said substrate is provided with a regular polyhedron of at least four planes, said planes comprising at least one LED having a luminous flux of at least 5 lm. The gear column also comprises heat-dissipating means which interconnect the substrate and the lamp cap. A continuous and regular illumination with a high luminous flux can be obtained using a LED lamp of this type.