Unit quaternions form the four dimensional analogue of one of these. The Kepler conjecture is about the maximum density possible in packing these. Like their two dimensional counterparts, they have antipodes. The surface of one of these contains all points in three dimensional space that have a distance of r from the center. The volume of one is equal to four thirds pi r s
Unit quaternions form the four dimensional analogue of one of these. The Kepler conjecture is about the maximum density possible in packing these. Like their two dimensional counterparts, they have antipodes. The surface of one of these contains all points in three dimensional space that have a distance of r from the center. The volume of one is equal to four thirds pi r squared. The cross sections of these are circles. For 10 points, name these shapes that looks like balls.
Unit quaternions form the four dimensional analogue of one of these.
spheres