• Korean Institute of Interior Design Journal
• /
• v.20 no.6
• /
• pp.145-152
• /
• 2011

Salvador Dali put a title of his work as 'A Propos of the Treatise on Cubic Form by Juan de Herrera' at 1960. Through this work which is consisted in cube frame surrounding black and white letter squares and nails in the sky, he directly referred about the cube which were showed in his pictures. To understand the meaning of this work, Dali's paintings and Juan de Herrera's design and architectural ideas are analysed by building. His concerning about absolute existence like god and nuclear takes the cubic form by Juan de Herrera instead of pictorial tendencies of Cubism, however pictorial elements such as sky and nails were still used in the work. He use alphabet letter as pattern consisting wall and symbol representing 'Juan de Herrera', moreover number '2' is taken to show up line attribute. Dali had several design develop process, and finally he reached an new stage called 'Hypercube'. Hypercube can distinguish from Cubism and Herrera's architectural idea, and it will be free from objective world based in Euclid geometry. Although cubic is the simplest shape. It can contain the variety of developments in these fields - philosophy, architecture, painting and etc.- from Platon to nuclear physics and coexists in a picture of Salvador Dali.

• Bulletin of the Society of Naval Architects of Korea
• /
• v.27 no.1
• /
• pp.3-10
• /
• 1990

Hull form can be described numerically by two approaches, one is to describe a hull form with a set of curves("curve approach"), and the other is to describe it with surfaces directly("surface approach"). This paper describes the numerical definition scheme of hull form using curve approach method which defines the hull form by a set of curves consisting of 2-dimensional transverse section curves and 3-dimensional longitudinal curves. A set of curves in the hull form definition scheme is described by the modified cubic spline which modified the general parametric cubic spline in order to ensure a very smooth curvature distribution within the curve segment even though a curve segment has large tangent angle at its end points. Illustrative examples are given showing the application of the method to represent the hull form of SWATH ship and oceanographic research vessel. Also, examples for hull form transformation are shown by using this method connected with transformation technique.

• Korean Journal of Computational Design and Engineering
• /
• v.13 no.6
• /
• pp.440-449
• /
• 2008

This paper deals with a method calculating various hull form parameters which are required in numerical analysis for ship performance such as motion, maneuverability, resistance and propulsion, etc. After the hull form is designed, before the model tests the ship's performances are evaluated by various analysis tools in which the hull form parameters are used with many kinds of forms aside from offset data. Here, The hull form parameters characterize the properties of hull form and contain positional, differential and integral information implicitly. Generally, the commercial CAD-system has not functions enough for supporting these form parameters and therefore each shipyard uses its own in-house analysis program as well as commercial analysis software. To overcome these limitations, modules for supporting these analysis programs have developed. The modules contain cubic composite spline cure using local curve fairing, intersect algorithm, Gaussian integral, and other geometric techniques needed in calculating hull form parameters. Using our analysis-supporting modules, a complex hull form can be remodeled exactly to the hull form designed by CAD-system and any hull form parameter required in various performance analyses can be calculated.

• Communications of the Korean Mathematical Society
• /
• v.10 no.2
• /
• pp.483-490
• /
• 1995

A parametric cubic spline interpolating at fixed number of nodes is constructed by formulating a parametric cubic $g^2$ B-splines $S_3(t)$ with not equally spaced parametric knots. Since the fact that each component is in $C^2$ class is not enough to provide the geometric smoothness of parametric curves, the existence of $S_3(t)$ oriented toward the modified second-order geometric continuity is focalized in our work.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• v.13 no.4
• /
• pp.257-265
• /
• 2009

In this paper we find an explicit form of upper bound of Hausdorff distance between given cubic spline curve and its quadratic spline approximation. As an application the approximation of offset curve of cubic spline curve is presented using our explicit error analysis. The offset curve of quadratic spline curve is exact rational spline curve of degree six, which is also an approximation of the offset curve of cubic spline curve.

• Biomolecules & Therapeutics
• /
• v.16 no.3
• /
• pp.226-230
• /
• 2008

Monoolein-based cubic liquid crystalline systems were formulated for the local delivery of oregonin and hirsutanonol for the treatment of atopic dermatitis. The liquid crystalline phase and its nanodispersion containing drugs were prepared. The skin permeation and deposition properties of the drugs were examined in normal and delipidized rat skin. The proportion of oregonin (%) deposited in normal skin after topical administration of the drugs in the form of aqueous solution, cubic phase or cubic nanodispersions were $1.53\;{\pm}\;0.46$, $3.62\;{\pm}\;0.17$ and $5.13\;{\pm}\;0.73$, and those of hirsutanonol were $2.46\;{\pm}\;0.02$, $5.44\;{\pm}\;0.27$ and $17.28\;{\pm}\;2.19$, respectively. The greater lipophilicity and thus greater skin affinity of hirsutanonol than oregonin contributed the greater amount of skin deposition. The monoolein-based liquid crystalline phases significantly increased the amount of both drugs permeated and deposited. Approximately 3.2, 2.1 and 3.0 times greater amount of oregonin, and 3.4, 2.1 and 2.2 times greater amount of hirsutanonol were deposited in delipidized skin after administration of each drug in the form of aqueous solution, cubic phase and cubic nanodispersions system, respectively, because of lowered barrier function of the delipidized skin. In this study, the effects of drug property, vehicles type and skin condition on skin deposition and permeation properties of drug were examined and concluded that monoolein-based liquid crystalline systems would be a promising formulation for the local delivery of drugs.

• The Pure and Applied Mathematics
• /
• v.15 no.2
• /
• pp.103-110
• /
• 2008

In this paper, we obtain the general solution and the stability of the cubic functional equation f(2x + y, 2z + w) + f(2x - y, 2z - w) = 2f(x + y, z + w) + 2f(x - y, z - w) + 12f(x, z). The cubic form $f(x,\;y)\;=\;ax^3\;+\;bx^2y\;+\;cxy^2\;+\;dy^3$ is a solution of the above functional equation.

• Journal of the Korean Home Economics Association
• /
• v.32 no.5
• /
• pp.183-200
• /
• 1994

The purpose of this study is to present the enlargement of the area of the expression. Thish process takes steps as follows : 1)To inquiry the expressed examples in modern fashion through plasticizing the geometric cubic. 2) Through this process to sruvey the potential of the development inherent in fashion design possibility. 3) At the same time to establish the status of fashion as a part of the Plastic Art. This study is to re-illuminate the plasticity expressed in modern fashion. The result of this study testified that in the relation between fashion and the human body the plastic characteristics of geometric cubic enlarged the special three-dimension effect and in the connection of form and from there is a potential possibility of the way of organization in discovering and establishing the world of the new form through the temperate organization.

• Structural Engineering and Mechanics
• /
• v.59 no.6
• /
• pp.1071-1094
• /
• 2016

We employ the so-called problem-dependent linked interpolation concept to develop two cubic 4-node quadrilateral plate finite elements with 12 external degrees of freedom that pass the constant bending patch test for arbitrary node positions of which the second element has five additional internal degrees of freedom to get polynomial completeness of the cubic form. The new elements are compared to the existing linked-interpolation quadratic and nine-node cubic elements presented by the author earlier and to the other elements from literature that use the cubic linked interpolation by testing them on several benchmark examples.

• Asian Journal of Atmospheric Environment
• /
• v.11 no.3
• /
• pp.153-164
• /
• 2017

Odor dispersion around a cubic building from rooftop odor emissions was investigated using computational fluid dynamics (CFD). The Shear Stress Transport (here after SST) $k-{\omega}$ model in FLUENT CFD code was used to simulate the flow and odor dispersion around a cubic building. The CFD simulations were performed for three different configurations of cubic buildings comprised of one building, two buildings or three buildings. Five test emission rates were assumed as 1000 OU/s, 2000 OU/s, 3000 OU/s, 4000 OU/s and 5000 OU/s, respectively. Experimental data from wind tunnels obtained by previous studies are used to validate the numerical result of an isolated cubic building. The simulated flow and concentration results of neutral stability condition were compared with the wind tunnel experiments. The profile of streamline velocity and concentration simulation results show a reasonable level of agreement with wind tunnel data. In case of a two-building configuration, the result of emission rate 1000 OU/s illustrates the same plume behavior as a one-building configuration. However, the plume tends to the cover rooftop surface and windward facet of a downstream building as the emission rate increases. In case of a three-building configuration, low emission rates (<4000 OU/s) form a similar plume zone to that of a two-building configuration. However, the addition of a third building, with an emission rate of 5000 OU/s, creates a much greater odorous plume zone on the surface of second building in comparison with a two-building configuration.