The oCLP family of triply periodic minimal surfaces
نویسندگان
چکیده
oCLP surfaces with orthorhombic distortion (OCLP for short) are a fattily of twoparameter triply periodic embedded minimal surfaces. We show that they correspond to the Weierstrass function of the form ~
منابع مشابه
A Construction Method for Triply Periodic Minimal Surfaces
A uniform and elementary treatment of many classical and new embedded triply periodic minimal surfaces in Euclidean space, based on a SchwarzChristoffel formula for periodic polygons in the plane, is given.
متن کاملTriply Periodic Minimal Surfaces Bounded by Vertical Symmetry Planes
We give a uniform and elementary treatment of many classical and new triply periodic minimal surfaces in Euclidean space, based on a Schwarz-Christoffel formula for periodic polygons in the plane. Our surfaces share the property that vertical symmetry planes cut them into simply connected pieces. 2000 Mathematics Subject Classification. Primary 53A10; Secondary 49Q05, 53C42.
متن کاملFluid permeabilities of triply periodic minimal surfaces.
It has recently been shown that triply periodic two-phase bicontinuous composites with interfaces that are the Schwartz primitive (P) and diamond (D) minimal surfaces are not only geometrically extremal but extremal for simultaneous transport of heat and electricity. The multifunctionality of such two-phase systems has been further established by demonstrating that they are also extremal when a...
متن کاملConstruction of Triply Periodic Minimal Surfaces
We discuss the construction of triply period minimal surfaces. This includes concepts for constructing new examples as well as a discussion of numerical computations based on the new concept of discrete minimal surfaces. As a result we present a wealth of old and new examples and suggest directions for further generalizations.
متن کاملMean survival times of absorbing triply periodic minimal surfaces.
Understanding the transport properties of a porous medium from a knowledge of its microstructure is a problem of great interest in the physical, chemical, and biological sciences. Using a first-passage time method, we compute the mean survival time tau of a Brownian particle among perfectly absorbing traps for a wide class of triply periodic porous media, including minimal surfaces. We find tha...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2017