• 제목/요약/키워드: Planes of Symmetry

검색결과 34건 처리시간 0.021초

반 두즈버그의 시.공간 표현형식 (An Expression Method of Space-Time in Van Doesburg's works)

  • 이광인
    • 한국디지털건축인테리어학회논문집
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    • 제9권3호
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    • pp.77-83
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    • 2009
  • Van Doesburg founded the magazine De Stijl with Mondrian in 1917. De Stijl movement was influenced by Cubist painting as well as by the mysticism and the ideas about ideal geometric forms in the neoplatonic philosophy. De Stijl proposed ultimate simplicity and abstraction by using only straight horizontal and vertical lines and rectangular forms. Furthermore, their formal vocabulary was limited to the primary colours, red, yellow, and blue, and the three primary values, black, white, and grey. The works avoided symmetry and attained aesthetic balance by the use of opposition. Vertical and horizontal lines are positioned in layers or planes that do not intersect, thereby allowing each element to exist independently and unobstructed by other elements In 1924 their different concepts about space and time were split between Van Doesburg and Mondrian. Van Doesburg launched a new concept for his art, Elementarism, which was characterized by the diagonal lines and rivaled with Mondrian's Neo-Plasticism. The works of De Stijl would influence the Bauhaus style and the international style of architecture.

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마이크로웨이브 화학증착법에 의한 다이아몬드 박막의 미세구조오 미세결함 (Microstructure and Microdefects of Diamond Thin Films Deposited by MPECVD)

  • 이세현;이유기;박종완
    • 한국재료학회지
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    • 제6권8호
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    • pp.833-840
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    • 1996
  • MPECVD법을 이용하여 다이아몬드 박막을 p형 Si(100)기판 위에 증착하였다. 증착하기에 앞서, 핵생성 밀도를 향상시키기 위하여 40-$60\mu$m 크기의 다이아몬드 분말을 사용하여 6분간 초음파 전처리를 행하였다. 이런 전처리 과정 후, 다이아몬드 박막을 $^900{\circ}C$, 40Torr, 1000W microwave power에서 ${CH}_{4}$${H}_{2}$사용하여 증착하였다. 이렇게 형성된 다이아몬드 박막의 순수도는 Raman spectroscopy로 측정하였으며 박막의 표면은 SEM으로 , 그리고 미세구조와 미세결함은 TEM으로 조사하였다. 반응기체 중 CH4의 농도가 증가함에 따라 다이아몬드의 정형적인 Raman peak와 더불어 다이아몬드가 아닌 제 2상의 peak가 증가하였다. SEM에 의한 박막의 표면은 ${CH}_{4}$가 증가함에 따라 박막의 표면이 뚜렷한 결정형상에서 cauliflower 형태로 변화하였다. 다이아몬드 박막의 결함밀도는 ${CH}_{4}$농도가 증가함에 따라 증가하였으며 결함 중 대부분은 {111}twin이였다. 그리고 MTP(Mulitply Twinned Particle)는 5개의 (111)면으로 형성된 결정으로, 5개의 (111)면은 각각에 대해서 Twin되어 있으며 five-fold symmetry를 나타내었다. 계면에서는 다이아몬드내의 결함들이 핵생성 site를 함유한 작은 지역에서부터 V형재로 퍼져 나갔다.

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건물모델 정규화를 적용한 항공라이다의 3차원 건물 모델링 (3D building modeling from airborne Lidar data by building model regularization)

  • 이정호;가칠오;김용일;이병길
    • 한국측량학회지
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    • 제30권4호
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    • pp.353-362
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    • 2012
  • 건물모델의 정규화 없이 3차원 건물 모델링을 하면 건물모델에 왜곡이 발생하거나 위상적 불일치가 발생할 수 있다. 반면에, 정규성을 고려할 경우 제약조건으로 인하여 재구성이 가능한 건물 유형이 제한적일 수 있다. 이에 본 연구에서는 보다 다양한 건물을 고려한 건물모델 정규화 방법을 적용하여 항공라이다 데이터로부터 3차원 건물을 모델링하였다. 우선 특징공간에서의 군집화와 객체공간에서의 분할을 통해 건물점들을 지붕면으로 분할한다. 건물모델 구성요소 간의 평행성, 대칭성, 일치성 등을 충족시키기 위하여 면-선-점의 순차적 조정에 의한 정규화를 통해 3차원 건물을 재구성한다. 도시 지역에 대한 실험을 통해 기존의 방법들보다 다양한 형태의 건물에 대하여 정규성을 충족하는 3차원 모델을 생성할 수 있음을 확인하였다. 또한, 정규화가 건물모델의 정확도에 미치는 영향을 정량적으로 분석하였다.

Comparison of the three-dimensional structures of mandibular condyles between adults with and without facial asymmetry: A retrospective study

  • Oh, Min-Hee;Kang, Sung-Ja;Cho, Jin-Hyoung
    • 대한치과교정학회지
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    • 제48권2호
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    • pp.73-80
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    • 2018
  • Objective: This retrospective study compared the three-dimensional (3D) structure of mandibular condyles between adults with and without facial asymmetry, and whether it influences menton deviation. Methods: Sixty adult patients were classified into symmetry and asymmetry groups based on the menton deviation on postero-anterior radiographs. The right/left differences of 3D measurements were compared between the two groups, and measurements were compared separately on the right and left sides. The correlations between menton deviation and the right/left differences were analyzed. Results: The mediolateral dimension, neck length, condylar angles to the anteroposterior reference (PO) and midsagittal reference planes, and neck and head volumes showed significantly larger right/left differences in the asymmetry group compared to the symmetry group. Separate comparisons of the right and left sides between the two groups showed that the neck was significantly shorter and neck and head volumes were significantly smaller on the left side, which was deviated side in the asymmetry group. Pearson's correlation analysis showed significant positive correlations of menton deviation with right/left differences in neck length, condylar angle to the PO plane, and neck and head volumes in the asymmetry group. Conclusions: In individuals with facial asymmetry, menton deviation is associated with the right/left differences caused by a smaller condyle on the deviated side, particularly in neck length and neck and head volumes.

주형단면의 비대칭성을 고려한 3차원 사장교의 지진해석 (Seismic Analysis of a 3-dimensional Cable-Stayed Bridge with an Unsymmetric Girder Cross-section)

  • 김철영;장승필
    • 대한토목학회논문집
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    • 제12권2호
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    • pp.11-20
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    • 1992
  • 지진이나 바람과 같은 횡방향 하중이 가해졌을 때, 일반적으로 수직한 촉에 대해서만 대칭인 단면을 갖는 교량의 주형에는 횡방향 휨에 결합된 비틂이 유발되어 특히 사장교의 케이블등에는 예상치 못했던 추가응력이 유발될 수 있다. 이러한 거동은 일반적인 뼈대요소로는 해석할 수 없으므로, 임의의 단면 형상을 갖는 기하학적 비선형 3차원 뼈대요소를 사용하여야 한다. 본 연구에서 사용한 뼈대요소의 이론적인 배경과 검증은 이전에 발표된 논문에 수록되어 있다. 본 논문에서는 주형단면의 비대칭성을 고려한 지진해석을 수행하여 휨-비틂 결합작용에 의한 거동을 연구한다.

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비대칭단면 주형을 갖는 3차원 사장교의 고유진동해석 (Free Vibration Analysis of a 3-dimensional Cable-Stayed Bridge with the Unsymmetric Girder Cross-section)

  • 김철영;장승필
    • 대한토목학회논문집
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    • 제11권2호
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    • pp.15-26
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    • 1991
  • 지진이나 바람과 같은 횡방향 하중이 가해졌을 때, 일반적으로 수직한 축에 대해서만 대칭인 단명을 갖는 교량의 주형은 횡방향 휨과 비틀림이 결합된 거동을 하게되어 특히 사장교의 케이블등에는 예상치 못했던 추가응력이 유발될 수 있다. 이러한 거동은 일반적인 뼈대요소로는 해석할 수 없으므로, 본 연구에서는 가상일의 원리와 운동에너지로 부터 임의의 단면형상을 갖는 기하학적 비선형 3차원 뼈대요소의 강도매트릭스와 질량매트릭스를 유도하여 주형을 모델링하고, 케이블요소는 Ernst가 제안한 등가탄성계수를 사용한다. 그리고 해석예를 통하여 이론의 타당성을 검증한 후, 3차원 사장교 모델의 고유진동해석을 수행하여 주형의 휨-비틀림 결합작용을 연구한다.

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Reaction of Dehydrated Ag$_2$Ca$_5$-A with Cesium. Crystal Structures of Fully Dehydrated Ag$_2$Ca$_5$-A and Ag$_2$Cs$_{10}$-A

  • Kim, Yang;Song, Seong-Hwan;Park, Jong-Yul;Kim, Un-Sik
    • Bulletin of the Korean Chemical Society
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    • 제10권3호
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    • pp.243-247
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    • 1989
  • Two crystal structures of dehydrated $Ag^+\;and\;Ca^{2+}$ exchanged zeolite A, $Ag_2Ca_$5-A, reacting with 0.01 Torr of Cs vapor at $200^{\circ}C$ for 2 hours and 0.1 Torr of Cs vapor at $250^{\circ}C$ for 48 hours, respectively, have been determined by single crystal X-ray diffraction techniques. Their structures were solved and refined in the cubic space group Pm3m at $21(1)^{\circ}C$. The stoichiometry of first crystal was $Ag_2Ca_5$-A (a = 12.294(1)${\AA}$), indicating that Cs vapor did not react with cations in zeolite A and that of second crystal was $Ag_2Cs_{10}$-A (a = 12.166(1)${\AA}$), indicating that all $Ca^{2+}$ ions were reduced by Cs vapor and replaced by $Cs^+$ ions. Full-matrix least-squares refinements of $Ag_2Ca_5-A\;and\;Ag_2Cs_{10}$-A has converged to the final error indices, $R_1\;=\;0.041\;and\;R_2$ = 0.048 with 227 reflections, and $R_1\;=\;0.117\;an\;n\;fdd\;R_2$ = 0.120 with 167 reflections, respectively, for which I > $3{\sigma}$(I). In the structure of $Ag_2Ca_5$-A, both $Ag^+$ ions and $Ca^{2+}$ ions lie on two crystal symmetrically independent threefold axis sites on the 6-rings; $2\;Ag^+$ ions are recessed 0.33 ${\;AA}$ from the (111) planes of three O(3) oxygens and 5 $Ca^{2+}$ ions lie on the nearly center of each 6-oxygen planes. In the structure of $Ag_2Cs_{10}-A,\;Cs^+$ ions lie on the 5 different crystallographic sites. 3 $Cs^+$ ions lie at the centers of the 8-rings at sites of D4h symmetry. 6 $Cs^+$ ions lie on the threefold axes of unit cell: $4\;Cs^+$ ions are found deep in the large cavity and 2 $Cs^+$ ions are found in the sodalite cavity. One $Cs^+$ ion is found in the large cavity near a 4-ring.

Visualization of Underexpanded Jet Structure from Square Nozzle

  • Tsutsumi, Seiji;Yamaguchi, Kazuo;Teramoto, Susumu
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2004년도 제22회 춘계학술대회논문집
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    • pp.408-413
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    • 2004
  • Numerical and experimental investigation were car-ried out to clarify the flow structure of underexpanded jet from a square nozzle. The square nozzle rep-resents one of the clustered combustors of a linear aerospike engine. From the numerical results, the three-dimensional shock wave of the underexpanded square jet was found to be composed of two shocks. One is the intercepting shock which corresponds to the shock observed in two-dimensional planar jet. The other is the recompression shock divided into two types. The expansion fans coming from the nozzle edges interact with each other at the comers of the nozzle exit, and overexpanded regions are generated. Therefore one of the two recompression shocks is formed at the comers of the nozzle exit behind the overexpanded regions. As the jet goes downstream, the overexpanded regions grow larger to coalesce at the symmetry planes. Then, the other type of the recompression shock is generated. The three-dimensional shock structure formed by the intercepting shock and the recompression shocks dominates the expansion of the jet boundary. The shock detection algorithm us-ing CFD results was developed to reveal the relation between the shock waves and the jet boundary, and it was found that the cross-sectional jet shape becomes cross-shape. The key features observed in the numerical investigation were verified by the experimental results. The shock structure at the diagonal plane was in good agreement with the experimental schlieren images. Moreover, the cross-sections visualized by the Mie scattering method confirmed that the cross-section of the jet becomes cross-shape.

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Crystal Structure of Dehydrated Cesium and Silver Exchanged Zeolite A,$ Cs_{7.3}Ag_{4.7}$-A

  • Yang Kim;Karl Seff
    • Bulletin of the Korean Chemical Society
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    • 제5권3호
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    • pp.117-121
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    • 1984
  • The structure of $CS_{7.3}Ag_{4.7}Si_{12}Al_{12}O_{48}$, vacuum dehydrated zeolite A with all Na+ ions replaced by $Cs^+$ and $Ag^+$ as indicated, has been determined by single-crystal x-ray diffraction techniques in the cubic space group, Pm3m (a = 12.282 (1) ${\AA}$). The structure was refined to the final error indices $R_1$$R_2$ (weighted) = 0.099 using 347 independent reflections for whind intlch $I_0\;>\;3{\sigma}(I_0)$. Although deydration occurred at $360^{\circ}C$, no silver atoms or clusters have been observed. The 8-ring sites are occupied only by $Cs^+$ ion, and the 4-ring sites only by a single $Ag^+$ ion. The 6-ring sites contain $Ag^+$ and $Cs^+$ ions with $Ag^+$ nearly in 6-ring planes and $Cs^+$ well off them, one on the sodalite unit side. With regard to the 6-rings, the structure can be represented as a superposition of two types of unit cells: about 70 % have $4Ag^+$ and $4Cs^+$ ions, and the remaining 30 % have $3Ag^+$ and $5Cs^+$. In all unit cells, $3Cs^+$ ions lie at the centers of the 8-rings at sites of D4h symmetry; these ions are approximately 0.3 ${\AA}$ further from their nearest framework-oxygen neighbors than the sum of the appropriate ionic radii would indicate. To minimize electrostatic repulsions, the $Cs^+$ ions at Cs(1) are not likely to occupy adjacent 6-rings in the large cavity; they are likely to be tetrahedrally arranged when there are 4.

Frontiers in Magneto-optics of Magnetophotonic Crystals

  • Inoue, M.;Fedyanin, A.A.;Baryshev, A.V.;Khanikaev, A.B.;Uchida, H.;Granovsky, A.B.
    • Journal of Magnetics
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    • 제11권4호
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    • pp.195-207
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    • 2006
  • The recently published and new results on design and fabrication of magnetophotonic crystals of different dimensionality are surveyed. Coupling of polarized light to 3D photonic crystals based on synthetic opals was studied in the case of low dielectric contrast. Transmissivity of opals was demonstrated to strongly depend on the propagation direction of light and its polarization. It was shown that in a vicinity of the frequency of a single Bragg resonance in a 3D photonic crystal the incident linearly polarized light excites inside the crystal the TE- and TM-eigen modes which passing through the crystal is influenced by Brags diffraction of electromagnetic field from different (hkl) sets of crystallographic planes. We also measured the faraday effect of opals immersed in a magneto-optically active liquid. It was shown that the behavior of the faraday rotation spectrum of the system of the opal sample and magneto-optically active liquid directly interrelates with transmittance anisotropy of the opal sample. The photonic band structure, transmittance and Faraday rotation of the light in three-dimensional magnetophotonic crystals of simple cubic and face centered cubic lattices formed from magneto-optically active spheres where studied by the layer Korringa-Kohn-Rostoker method. We found that a photonic band structure is most significantly altered by the magneto-optical activity of spheres for the high-symmetry directions where the degeneracies between TE and TM polarized modes for the corresponding non-magnetic photonic crystals exist. The significant enhancement of the Faraday rotation appears for these directions in the proximity of the band edges, because of the slowing down of the light. New approaches for one-dimensional magnetophotonic crystals fabrication optimized for the magneto-optical Faraday effect enhancement are proposed and realized. One-dimensional magnetophotonic crystals utilizing the second and the third photonic band gaps optimized for the Faraday effect enhancement have been successfully fabricated. Additionally, magnetophotonic crystals consist of a stack of ferrimagnetic Bi-substituted yttrium-iron garnet layers alternated with dielectric silicon oxide layers of the same optical thickness. High refractive index difference provides the strong spatial localization of the electromagnetic field with the wavelength corresponding to the long-wavelength edge of the photonic band gap.