( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 1 ( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 2( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 1 ( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 4( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 1 ( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 6( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 1 ( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 8( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 1 ( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 0( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 1 ( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 2( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 1 ( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 4
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 5
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 6( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 1 ( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 8( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 9( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 90
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 6( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 1 ( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 93____99( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 95
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 6( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 1 ( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 98( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 9( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 90
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 6____292
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 6____294
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 6______296 ( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 97
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 98
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 99
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 1 ( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 91
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 5
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 6____594
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 6( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 1 ( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 97
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 6( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 1 ( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 20( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 21
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 6( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 1 ( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 24( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 25
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 6( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 1 ( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 28
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 6( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 70
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 6( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 72
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 6______674 ( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 75
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 76( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 77( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 78( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 79
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 6____751
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 6( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 53
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 = r^2 6( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 55 ( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 74 ________ 1948( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 994 ________ 6232( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 984 ________ 1942( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 984( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 218
Hình dung các sóng hài hình cầu hơi phức tạp vì chúng phức tạp và được xác định theo các tọa độ góc, $(\theta, \phi)$. Một cách là chỉ vẽ phần thực trên hình cầu đơn vị. Matplotlib cung cấp bộ công cụ cho các sơ đồ 3D như vậy, ( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 4 (xem Phần 7. 2. 3 của cuốn sách và tài liệu Matplotlib), như được minh họa bằng đoạn mã sau
( x-cx ) ^2 + (y-cy) ^2 + (z-cz) ^ 2 < r^2 8