4次元カンピュータ・グラフィクス
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概要
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We are now living in 3-dimensional space (3-space) and can't look any 4-dimensional object. However we can appreciate a virtual 4-dimensional world which may be full of 4-dimensional hyperbeings or hypersolids etc. by using graphic simulation of the 4-dimensional objects. The simulation is done through the medium of geometric analogy with 3-dimensional objects and its projection into 3-space. A 4-dimensional shape in this paper is imagined according to the following procedure : 1. Imagine a 3-dimensional analogue of the selected 4-dimensional object. 2. Replace the 3-dimensional analogue with a suitable 3-dimensional geometric shape. 3. Search for a 4-dimensional geometric shape corresponding to the 3-dimensional geometric shape. 4. Modify skillfully the 4-dimensional geometric shape as if it were a real 4-dimensional object.
- 日本シミュレーション学会の論文
- 1999-09-15