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...
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| Other Authors: | |
| Format: | Others |
| Language: | en_US |
| Published: |
2016
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| Online Access: | http://ndltd.ncl.edu.tw/handle/59718554354052236588 |
| Summary: | 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.
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