Honeycomb

A Tessellation in -D, for . The only regular honeycomb in 3-D is , which consists of eightcubes meeting at each Vertex. The only quasiregular honeycomb (with regular cells andsemiregular Vertex Figures) has each Vertex surrounded by eightTetrahedra and six Octahedra and is denoted .

There are many semiregular honeycombs, such as , in which eachVertex consists of two Octahedra and fourCuboctahedra .

References

Bulatov, V. ``Infinite Regular Polyhedra.'' http://www.physics.orst.edu/~bulatov/polyhedra/infinite/.

• Directrix (Ruled Surface)
• Direct Search Factorization
• Direct Sum (Module)
• Dirichlet Beta Function
• Dirichlet Boundary Conditions
• Dirichlet Conditions
• Dirichlet Divisor Problem
• Dirichlet Energy
• Dirichlet Eta Function
• Dirichlet Fourier Series Conditions
• Dirichlet Function
• Dirichlet Integrals
• Dirichlet Kernel
• Dirichlet Lambda Function
• Dirichlet L-Series
• Dirichlet Region
• Dirichlet's Boxing-In Principle
• Dirichlet's Box Principle
• Dirichlet Series
• Dirichlet's Formula
• Dirichlet's Lemma
• Dirichlet's Principle
• Dirichlet's Test
• Dirichlet's Theorem
• Dirichlet Structure Constant