A polycube is a solid figure formed by joining one or more equal cubes face to face. Polycubes are the three-dimensional analogues of the planar polyominoes. The Soma cube, the Bedlam cube, the Diabolical cube, the Slothouber–Graatsma puzzle, and the Conway puzzle are examples of packing problems based on polycubes. [1]

Polycube is an open source software framework that provides fast and lightweight network functions such as bridges, routers, firewalls, and others. Polycube services, called cubes, can be composed to build arbitrary service chains and provide custom network connectivity to namespaces, containers, virtual machines, and physical hosts.

Polycube is an open source software framework for Linux that provides fast and lightweight network functions, such as bridge, router, nat, load balancer, firewall, DDoS mitigator, and more.

Polycube is an open framework to build secure Networks with performance for Cloud, Edge, and IoT. A ”cube” contains a standalone network function or just a reusable module of network functions, and multiple cubes can be linked, or stacked, to create a network or more powerful network functions.

Sep 5, 2018 · Polycubes are polyforms constructed from unit cubes joined face-to-face in regular three-dimensional Cartesian space. The polycubes that are flat (only one cube thick) are known as "planar polycubes" or "solid polyominoes". Here is a puzzle containing all the polycubes of order 1 through 5:

If you want to try Polycube, this is a five minutes document that will guide you through the basics. In order to try Polycube you need to use two components: polycubed: the Polycube daemon, that must be up and running. polycubectl: the Polycube CLI, used to interact with the framework.

Apr 8, 2025 · Three-dimensional generalization of the polyominoes to dimensions. The number of polycubes composed of cubes are 1, 1, 2, 8, 29, 166, 1023, ... (OEIS A000162; Ball and Coxeter 1987). Polycubes may be conveniently represented and visualized in the Wolfram Language using ArrayMesh.

# Download the source pack from Polycube repository # (i.e., https://github.com/polycube-network/polycube/releases) # Look at the most recent version and update the following lines accordingly

CE-PolyCube: Cut-enhanced PolyCube-Maps for Feature-aware All-Hex Meshing Haoxiang Guo, Xiaohan Liu, Dong-Ming Yan, Yang Liu. ACM Transactions on Graphics (SIGGRAPH2020).

A polycube is a set of unit cubes joined in such a way that each face of the cube is either completely joined to another or completely free of any join.