Patterns of Orthogonal Circles on the Sphere Based on Dual Polyhedrons
碩士 === 國立清華大學 === 數學系 === 104 === We want to discuss the incircles of the 11 dual polyhedrons, and construct an animation which satisfy the following conditions: 1. All dynamic circles are always on the sphere, and they overlap the incircles at a time. 2. Two of the circles remain invariant in appea...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Others |
| Language: | en_US |
| Published: |
2016
|
| Online Access: | http://ndltd.ncl.edu.tw/handle/59718554354052236588 |
| id |
ndltd-TW-104NTHU5479003 |
|---|---|
| record_format |
oai_dc |
| spelling |
ndltd-TW-104NTHU54790032017-07-30T04:40:50Z http://ndltd.ncl.edu.tw/handle/59718554354052236588 Patterns of Orthogonal Circles on the Sphere Based on Dual Polyhedrons 對偶多面體上的內切圓形成的正交圖形 Huang, Chun Yen 黃俊晏 碩士 國立清華大學 數學系 104 We want to discuss the incircles of the 11 dual polyhedrons, and construct an animation which satisfy the following conditions: 1. All dynamic circles are always on the sphere, and they overlap the incircles at a time. 2. Two of the circles remain invariant in appearance while each rotating about its axis. 3. All dynamic patterns preserve mutual tangency, orthogonality and contact graph. We want to see and discuss the animation. We use Cabri 3D to do the patterns. Chuan, Jen Chung Hu, Tien Chung 全任重 胡殿中 2016 學位論文 ; thesis 48 en_US |
| collection |
NDLTD |
| language |
en_US |
| format |
Others
|
| sources |
NDLTD |
| description |
碩士 === 國立清華大學 === 數學系 === 104 === We want to discuss the incircles of the 11 dual polyhedrons, and construct an animation which satisfy the following conditions:
1. All dynamic circles are always on the sphere, and they overlap the incircles at a time.
2. Two of the circles remain invariant in appearance while each rotating about its axis.
3. All dynamic patterns preserve mutual tangency, orthogonality and contact graph.
We want to see and discuss the animation. We use Cabri 3D to do the patterns.
|
| author2 |
Chuan, Jen Chung |
| author_facet |
Chuan, Jen Chung Huang, Chun Yen 黃俊晏 |
| author |
Huang, Chun Yen 黃俊晏 |
| spellingShingle |
Huang, Chun Yen 黃俊晏 Patterns of Orthogonal Circles on the Sphere Based on Dual Polyhedrons |
| author_sort |
Huang, Chun Yen |
| title |
Patterns of Orthogonal Circles on the Sphere Based on Dual Polyhedrons |
| title_short |
Patterns of Orthogonal Circles on the Sphere Based on Dual Polyhedrons |
| title_full |
Patterns of Orthogonal Circles on the Sphere Based on Dual Polyhedrons |
| title_fullStr |
Patterns of Orthogonal Circles on the Sphere Based on Dual Polyhedrons |
| title_full_unstemmed |
Patterns of Orthogonal Circles on the Sphere Based on Dual Polyhedrons |
| title_sort |
patterns of orthogonal circles on the sphere based on dual polyhedrons |
| publishDate |
2016 |
| url |
http://ndltd.ncl.edu.tw/handle/59718554354052236588 |
| work_keys_str_mv |
AT huangchunyen patternsoforthogonalcirclesonthespherebasedondualpolyhedrons AT huángjùnyàn patternsoforthogonalcirclesonthespherebasedondualpolyhedrons AT huangchunyen duìǒuduōmiàntǐshàngdenèiqièyuánxíngchéngdezhèngjiāotúxíng AT huángjùnyàn duìǒuduōmiàntǐshàngdenèiqièyuánxíngchéngdezhèngjiāotúxíng |
| _version_ |
1718508258914729984 |