Abstract: A flexible heat sink with a flexible base having a first side configured to engage a heat generating component, and a second side opposite the first side. A plurality of fins extends from the second side of the base and each fin is made from a flexible graphite ribbon assembly. The plurality of fins may be a row of fins made from a single graphite ribbon assembly. Each fin may be configured with a u-shaped or triangular shaped channel. A flexible heat sink assembly may be configured with multiple flexible heat sinks sharing one common base. The heat sinks and rows of fins may be spaced apart in the heat sink assembly to create an array of fins enabling the heat sink assembly to flex lengthwise and widthwise across the base.