![]() ![]() At the centre of each plane the rock won’t be moving at all taken together, all these fixed centres constitute the axis of rotation. But another way to characterise this motion is by the direction of the plane of the rotation: a slice through the planet along any plane parallel to the equator will reveal the rock to be moving only within that plane. If a planet in 3 dimensions rotates as a perfectly rigid body, it has a stationary axis running through it which intersects the 2-dimensional surface at two points, the familiar rotational poles. To see why this is possible (but actually not very likely), first consider the case in 3 dimensions. In Chapter 17 of Diaspora, an artifact is discovered near the “rotational pole” of a star in the 5-dimensional macrosphere this pole is described as the single 2-sphere on the star’s 4-dimensional hypersurface that stays fixed in space as the star rotates. Rotations in 4 and 5 dimensions Rotation in a single plane Back to home page | Site Map | Side-bar Site Map. ![]() “Orphanogenesis” | Chapter 2 | Chapter 4 | Chapter 8 | Chapter 9 | Chapter 15 | Chapter 17.If you link to this page, please use this URL:.Chapter 17: Partition of Unity - Greg Egan Diaspora Chapter 17: Partition of Unity ![]()
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