In geometry, the Weaire–Phelan structure is a three-dimensional structure representing an idealised foam of equal-sized bubbles, with two different shapes...

dioxide at low temperatures have a structure in which water molecules lie at the nodes of the Weaire–Phelan structure and are hydrogen bonded together,...

based on the Weaire–Phelan structure, a structure devised from the natural pattern of bubbles in soap lather. In the true Weaire–Phelan structure the edge...

Example cubic structures (221) Caesium chloride. Different colors for the two atom types. (216) Sphalerite (223) Weaire–Phelan structure The symbol e {\displaystyle...

(β-phase) Weaire–Phelan structure, for the space tessellation generated by A15 phases Frank, F. C.; Kasper, J. S. (1959-07-10). "Complex alloy structures regarded...

the Kelvin structure, and this was widely believed for over 100 years, until disproved in 1993 by the discovery of the Weaire–Phelan structure. The surprising...

the A15 phases, which forms the polyhedral approximation of the Weaire–Phelan structure. The Wigner–Seitz cell always has the same point symmetry as the...

and three-dimensional tessellations, also called honeycombs. The Weaire–Phelan structure is considered the best possible (optimal) unit cell of a perfectly...

In materials science, a metal foam is a material or structure consisting of a solid metal (frequently aluminium) with gas-filled pores comprising a large...

uniform honeycombs, another well known example is the Weaire–Phelan structure, adopted from the structure of clathrate hydrate crystals Documented examples...

very slightly curved faces. In 1993, Denis Weaire and Robert Phelan proposed the Weaire–Phelan structure, which uses less surface area to separate cells...

truncated trapezohedron (51262). Together, they form a version of the Weaire–Phelan structure. Typical guests forming Type I hydrates are CO2 in carbon dioxide...

partitions of space into equal-volume cells, and the optimality of the Weaire–Phelan structure as a solution to the Kelvin problem Lebesgue's universal covering...

dodecahedral honeycomb Others Trapezo-rhombic dodecahedral honeycomb Weaire–Phelan structure Convex uniform honeycombs in hyperbolic space Order-4 dodecahedral...

space. Two important types are: Bubbles in froths and foams, such as Weaire-Phelan bubbles. Forms used in architecture. Convex polyhedra can be defined...

structure formed by three perpendicular sets of square prisms can be used to construct a cube tiling, combinatorially equivalent to the Weaire–Phelan...