• Title/Summary/Keyword: dodecahedron

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SLOPE ROTATABILITY OF ICOSAHEDRON AND DODECAHEDRON DESIGNS

  • Kim Hyuk-Joo;Park Sung-Hyun
    • Journal of the Korean Statistical Society
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    • v.35 no.1
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    • pp.25-36
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    • 2006
  • Icosahedron and dodecahedron designs are experimental designs which can be used for response surface analysis for the case when three independent variables are involved. When we are interested in estimating the slope of a response surface, slope rot at ability is a desirable property. In this paper, we derive conditions for icosahedron and dodecahedron designs to have slope rotatability, and actually obtain some slope-rotatable icosahedron and dodecahedron designs. We also apply Park and Kim (1992)'s measure of slope rotatability to icosahedron and dodecahedron designs, and observe resultant facts.

An analysis of the interpretations of the symbols on an archaeological dodecahedron with pentagon facets and proposals of a new game method obtained by a creativity tournament (5각 12면 체의 기호해석과 이를 이용한 새로운 놀이 방법의 창안에 대한 분석)

  • 육근철;김명환;하종덕
    • Journal of Gifted/Talented Education
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    • v.12 no.1
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    • pp.1-30
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    • 2002
  • We present a long term projects of which an interpretation of the symbols and proposals of the original idea of new game method using by an archaeological dodecahedron with pentagon facets was unearthed on the kansan districts in Chungnam to the high school students participated in a creative tournament of the love of science and Taejeon. As a results, students interpreted the twelve symbols intaglioed on the dodecahedron with pentagon facets as numbers, duodecimal system, compass direction, five elements, etc. And also many students proposed original ideas for the game using the dodecahedron based on the principle of Um(-) and Yang(+) with the five elements, game of numbers, game of board, and so on. In this study we suggests that the creative program using the dodecahedron can be applicable to the creative education for gifted and talented youth.

Structural Characterization of the Eight-Coordinated Dodecahedral Y(tpb)3(H2O)2 (8배위 12면체 Y(tpb)3(H2O)2착물의 합성과 구조)

  • Yu, Chong-Nam;Kang, Seong-Joo
    • Journal of the Korean Chemical Society
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    • v.51 no.3
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    • pp.240-243
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    • 2007
  • The eight coordinated yttrium(III) complex Y(tpb)3(H2O)2 (Htpb=4,4,4-Trifluoro-1-phenyl-1,3-butanedione) has been synthesized and structurally characterized by X-ray diffraction method. The coordination polyhedron of Y(tpb)3(H2O)2 has a dodecahedron. The angle between two trapezia, Y-O2-O1-O5-O6 and Y-O4-O3-O8-O7, is 89.59°. The O1-O5 and O3-O8 distances are 2.965 and 2.995 A whereas the O2-O6 and O4-O7 distances are 4.256 and 4.403 A.

Barium Nitrate Single Crystals Growth by Aqueous Solution Method

  • B.H. Kang;Kim, R.H.;Kim, C.D.;Park, H.H.;B.K. Rhee;G.T. Joo
    • Proceedings of the Korea Association of Crystal Growth Conference
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    • 1998.09a
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    • pp.55-63
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    • 1998
  • The growing conditions of barium nitrate Ba(NO3)2 single crystals by aqueous solution method have been studied. Supersaturation of Ba(NO3)2 was 0.7% at 32.0$^{\circ}C$ and about 3% 34.0$^{\circ}C$. The obtained single crystals have three kind of morphology; the tertrahedron, the cube and rarely dodecahedron face. The faces of obtained crystals have been identified by X-ray diffractometer.

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A study on the fabrication methods of rough diamond according to their shapes (bruting) (다이아몬드 원석의 외형에 따른 가공방법에 관한 연구(모형))

  • 최덕환;김세환;최종건
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.13 no.1
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    • pp.46-50
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    • 2003
  • This paper is a study on the method that it is bruting a peace of a rough diamond with keeping the maximum volume of it. When a diamond will be bruting, how to keep the maximum diameter of one is very important because of its own characteristics that include shapes, mineral characteristics, and so on. In the middle of bruting. concentrating on the work is also required because girdle will be break down. We tried to bruting with gaining maximum diameters of rough diamond. As the result. an octahedron is made into the round shape with size $6.75\times 6.75\times 3.83$ mm , a dodecahedron the cushion shape with size $6.86\times 6.86\times 3.95$mm , a fancy the marquise with size $6.92\times 3.78\times 3.46$mm . Their rates of loss are round brilliant 24.5%, cushion barion 15.5 %, and marquise 18.7 %, respectively.

A study on the fabrication methods of rough diamond according to their shapes (sawing) (다이아몬드 원석의 외형에 따른 가공방법에 관한 연구(절단))

  • 최덕환;최종건
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.12 no.6
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    • pp.317-322
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    • 2002
  • We have studied the sawing sach as the round brilliant cut, cushion barion cut and marquise cut. Through this study, we could examined the rate of waste from the grinding work, and find a solution for many problems which could be derived from the grinding work. We could reduce the rate of waste by this study about sawing technique; 2.5 % for round brilliant cut, 2.5 % for cushion barion cut and 5.5 % for marquise cut.

THE STUDY ON THE MICROCRYSTAL GROWTH OF SILVER HALIDE IN PHOTOGRAPHIC EMULSION WITH MODIFIERS

  • Kang, Tai-Sung;Ahn, Hong-Chan;Park, In-Yeong;Kim, Chan-Rae
    • Journal of Photoscience
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    • v.1 no.1
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    • pp.63-66
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    • 1994
  • Silver chlorobromoiodide cubic seed emulsion was prepared'in the presence of ammonia and phenylcarbamyl gelatin solution. When benzenethiosulfonate sodium salt (BTS) and 4-hydroxy6-methyl-1,3,3a,7-tetraazaindene (TAI), as growth modifiers, were added in the seed emulsion, the silver halide microcrystals were obtained in the forms of cubo-octahedrons, octahedrons, rhombic dodecahedron by variation of pAg value through controlled double jet. The crystal habits and shapes were determined by means of X-ray diffraction (D/MAX BIB, Rigaku) and electron microscopy (JSM-840, JEOL), respectively.

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Accommodation Rule Based on Navigation Accuracy for Double Faults in Redundant Inertial Sensor Systems

  • Yang, Cheol-Kwan;Shim, Duk-Sun
    • International Journal of Control, Automation, and Systems
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    • v.5 no.3
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    • pp.329-336
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    • 2007
  • This paper considers a fault accommodation problem for inertial navigation systems (INS) that have redundant inertial sensors such as gyroscopes and accelerometers. It is wellknown that the more sensors are used, the smaller the navigation error of INS is, which means that the error covariance of the position estimate becomes less. Thus, when it is decided that double faults occur in the inertial sensors due to fault detection and isolation (FDI), it is necessary to decide whether the faulty sensors should be excluded or not. A new accommodation rule for double faults is proposed based on the error covariance of triad-solution of redundant inertial sensors, which is related to the navigation accuracy of INS. The proposed accommodation rule provides decision rules to determine which sensors should be excluded among faulty sensors. Monte Carlo simulation is performed for dodecahedron configuration, in which case the proposed accommodation rule can be drawn in the decision space of the two-dimensional Cartesian coordinate system.