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The Color Structure Code (CSC) [RE98] is a very fast and robust hierarchical region growing technique for segmentation of color or gray-value images. It works on a hierarchical hexagonal grid structure of the 2d space that fulfills several interesting topological properties. It is known that not all of these properties can be fulfilled together in 3d space. Some of the properties are more important than others. Mere we introduce a new 3d hierarchical grid structure based on the orthogonal grid that fulfills the most important properties.