• Communications of the Korean Mathematical Society
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• v.33 no.2
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• pp.591-604
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• 2018

We consider a family of ribbon 2-knots with trivial Alexander polynomial. We give nonabelian SL(2, C)-representations from the groups of these knots, and then calculate the twisted Alexander polynomials associated to these representations, which allows us to classify this family of knots.

• Bulletin of the Korean Mathematical Society
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• v.61 no.2
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• pp.421-431
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• 2024

In this paper, we characterize amphicheiral 2-bridge knots with symmetric union presentations and show that there exist infinitely many amphicheiral 2-bridge knots with symmetric union presentations with two twist regions. We also show that there are no amphicheiral 3-stranded pretzel knots with symmetric union presentations.

• Journal of the Korean Mathematical Society
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• v.52 no.2
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• pp.389-402
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• 2015

A symmetric union is a diagram of a knot, obtained from diagrams of a knot in the 3-space and its mirror image, which are symmetric with respect to an axis in the 2-plane, by connecting them with 2-tangles with twists along the axis and 2-tangles with no twists. This paper presents an invariant of knots with symmetric union presentations, which is called the minimal twisting number, and the minimal twisting number of $10_{42}$ is shown to be two. This paper also presents a sufficient condition for non-amphicheirality of a knot with a certain symmetric union presentation.

• Journal of the Korean Society of Costume
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• v.22
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• pp.205-224
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• 1994

It was aimed to study the costume of Koryo dynasty based upon the thirty pictures of Bud-dha to hang on the wall among the existing Buddist paintings. The costume to study were made about 64 years during the King Chung-yol(1286) to the King Chung-jong(1350) which style was mostly related in Won Dynasty. 가) Men's wear ; 1. Hair style and hair dress ; Man tied up a top knot and they put on the hat such as a Kuan Kun and Mo. The young boys binds his hair up one, two, and three knot-s, and tied up with a hair ribbon, A kinds of Kuan-mo were Mine-lu-kuan Yuan-yu-kuan, Nong-kuan, Hae-chi-kuan Pok-du Yun-wha-kuan Yip-mo- and Tu-ku(Helmeto) 2. clothes ; 1) Colour of Koryo King's Mien-ku Kuan costume was not agree with blue and reddish black colour which was used in Yo, Song, Kum and Won Dynasty, however black and greenhish blue colour was agreed with. 2) The king wore T'ung-t'ien-kuan(Yuan-yu-kuan) and the government officials wore Chin-hien-kuan Hae-chi-kuan and Nong-kuan as a court dress. In general the king and the Crown Prince wore a hats which was used in T'ung-t'ien system however sometimes they wore small hats which was cited in literature. 3) Gate guard and upper garment wore colourful costume figured gold colour pattern which was distin-gtive costume system of Koryo. 4) A monk wore big sleeve long skirt big sleeve long jacket long skirt and shoulder scar-f full shoulder scarf or right hand shoulder opened scarf. 5) The Soldiers wore helmet shoulder or scarf pee-back hung-kap, pok-kap, yang-dan-g-kap we-yu-kap kun-kap, and boots and they carried arms. 6) The young boys wore scarf, loin cloth, long skirt, belt neckless, wan-silk, boots and foots wear and wristless. 나) Women's wear ; 1. Hair style and hairs and tied up with a hair ribbon and wore precious ston decorated hair dress wheel shape hair dress pan shaped head dress handkerchif covered hair dress decorated precious stone hair pin silk chippon made of head dress muf-fler shaped hairdress. Boots mocasin hae lee, suk and sandle wored as a shoes depends on the classes. They wore neckless, earing wres-tless and wan-pu-sik. 2. Closthe 1) High rank lade's wore un-kyun attached jacket and jacket sleeves decorated pleats and pleats decorated long skirt apron back apron knot belt, scarf this type is the same with Dang Dynasty five dynasty of china Song, Kum Won, Myung Dynasty and our cos-tume of Poe-hae, and Shilla Dynasty.

• Journal of the Korean Society of Costume
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• v.23
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• pp.211-223
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• 1994

It was aimed to study the costume of Koryo dynasty based upon the one hundred and ten pictures of the writtened Budist scripture. The costume to study were made about 400 years during the King Mok-jong(1006) to the first year of the king Kong-yang based upon the Avatamaka Sutra and the Sutra of the Lotus. 가) Men's wear : 1. Hair style and hair dress : 1) Man bored a hair and put on the hat such as a Kuan, Kun, and Mo. The young boys binds his hair up one, two, and three knots, and tied up with a hair ribbon. A kinds of hats were Tung-t'ien-kuan(Yuan-yu-kuan) and Chin-hien-kuan and as a court dress. The man wore pok-여 as an official uniform and wore a pok-du , kun-mo as an everyday dress and wore a helmet as a solidier's uniform. 2. Clothes : 1) They wore Yuan-yu-kuan and Chin-hien -kuan as a court dress, and wore belt, boots, pleated decorated ling skirt also. They wore round shape collor big sleeve jacket, small sleeve long coat, belt , boots as an official dress. 2) the soldiers wore helmet, scarf, yangdang-kap , hung-kap, bak-kap, we-yo-kap, kun-kap and jok-kap and carries arms. 3) The young boys bind his hair up one, two and three angle shape an tied up a hair ribbons. 나) Women's wear : 1. Hair Style and hair dress : high rank ladies made their hair top knot (one, two, or more knots) and tied with hair ribbons , and decorated with precious stone, pan shape head dress , wheel shape head dress. 2. Clothes ; 1) high rank ladie's wore kun -kyun attached jacket , and jacket sleeves decorated pleats and pleats decorated on skirt, apron, back apron, knot belt, scarf.