詹森多面體列表
內切球半徑、中分球半徑和外接球半徑

下表列出了存在內切球、中分球和外接球之詹森多面體的各種球半徑（內切球半徑Ri、中分球半徑Rm或外接球半徑Rc，不存在則不列出）與邊長之比。
詹森多面體不一定有內切球、中分球和外接球。比方說，除非該詹森多面體的所有頂點都位於某個球面上，否則這個詹森多面體不會存在外接球。詹森多面體的對稱性比正多面體低，因此很多詹森多面體不存在這些球體。只有正四角錐J1和正五角錐J2這兩個立體三種球都存在。
表格內容的資料來源是來自沃尔夫勒姆研究公司的Mathematica軟體提供的PolyhedronData[..., "Inradius"]、 PolyhedronData[..., "Midradius"]和 PolyhedronData[..., "Circumradius"]指令。 輸出的數值已被化簡過了。
| Jn | Ri/a （近似值） | Ri/a （精確值） | Rm/a （近似值） | Rm/a （精確值） | Rc/a （近似值） | Rc/a （精確值） |
| --- | --- | --- | --- | --- | --- | --- |
| 1 | 0.258819045 |  {\frac {\sqrt {2-{\sqrt {3}}}}{2}} | 0.500000000 |  {\frac {1}{2}} | 0.707106781 |  {\frac {1}{\sqrt {2}}} |
| 2 | 0.232788309 |  {\frac {1}{\sqrt {25-7{\sqrt {5}}+{\sqrt {30\left(5-{\sqrt {5}}\right)}}}}} | 0.809016994 |  {\frac {1}{4}}\left(1+{\sqrt {5}}\right) | 0.951056516 |  {\frac {1}{2}}{\sqrt {{\frac {1}{2}}\left(5+{\sqrt {5}}\right)}} |
| 3 | - | - | 0.866025404 |  {\frac {\sqrt {3}}{2}} | 1.000000000 |  1 |
| 4 | - | - | 1.306562965 |  {\sqrt {1+{\frac {1}{\sqrt {2}}}}} | 1.398966326 |  {\sqrt {{\frac {5}{4}}+{\frac {1}{\sqrt {2}}}}} |
| 5 | - | - | 2.176250899 |  {\sqrt {{\frac {5}{2}}+{\sqrt {5}}}} | 2.232950509 |  {\frac {1}{2}}{\sqrt {11+4{\sqrt {5}}}} |
| 6 | - | - | 1.538841769 |  {\frac {1}{2}}{\sqrt {5+2{\sqrt {5}}}} | 1.618033989 |  {\frac {1}{2}}\left(1+{\sqrt {5}}\right) |
7: -
8: -
9: -
10: -
| 11 | - | - | 0.809016994 |  {\frac {1}{4}}\left(1+{\sqrt {5}}\right) | 0.951056516 |  {\frac {1}{2}}{\sqrt {{\frac {1}{2}}\left(5+{\sqrt {5}}\right)}} |
| 12 | 0.272165527 |  {\frac {\sqrt {\frac {2}{3}}}{3}} | - | - | - | - |
| 13 | 0.417774579 |  {\sqrt {{\frac {1}{30}}\left(3+{\sqrt {5}}\right)}} | - | - | - | - |
14: -
15: -
16: -
17: -
18: -
| 19 | - | - | 1.306562965 |  {\sqrt {1+{\frac {1}{\sqrt {2}}}}} | 1.398966326 |  {\sqrt {{\frac {5}{4}}+{\frac {1}{\sqrt {2}}}}} |
20: -
21: -
22: -
23: -
24: -
25: -
26: -
| 27 | - | - | 0.866025404 |  {\frac {\sqrt {3}}{2}} | 1.000000000 |  1 |
28: -
29: -
30: -
31: -
32: -
33: -
| 34 | - | - | 1.538841769 |  {\frac {1}{2}}{\sqrt {5+2{\sqrt {5}}}} | 1.618033989 |  {\frac {1}{2}}\left(1+{\sqrt {5}}\right) |
35: -
36: -
| 37 | - | - | 1.306562965 |  {\sqrt {1+{\frac {1}{\sqrt {2}}}}} | 1.398966326 |  {\sqrt {{\frac {5}{4}}+{\frac {1}{\sqrt {2}}}}} |
38: -
39: -
40: -
41: -
42: -
43: -
44: -
45: -
46: -
47: -
48: -
49: -
50: -
51: -
52: -
53: -
54: -
55: -
56: -
57: -
58: -
59: -
60: -
61: -
| 62 | - | - | 0.809016994 |  {\frac {1}{4}}\left(1+{\sqrt {5}}\right) | 0.951056516 |  {\frac {1}{2}}{\sqrt {{\frac {1}{2}}\left(5+{\sqrt {5}}\right)}} |
| 63 | - | - | 0.809016994 |  {\frac {1}{4}}\left(1+{\sqrt {5}}\right) | 0.951056516 |  {\frac {1}{2}}{\sqrt {{\frac {1}{2}}\left(5+{\sqrt {5}}\right)}} |
64: -
65: -
66: -
67: -
68: -
69: -
70: -
71: -
| 72 | - | - | 2.176250899 |  {\sqrt {{\frac {5}{2}}+{\sqrt {5}}}} | 2.232950509 |  {\frac {1}{2}}{\sqrt {11+4{\sqrt {5}}}} |
| 73 | - | - | 2.176250899 |  {\sqrt {{\frac {5}{2}}+{\sqrt {5}}}} | 2.232950509 |  {\frac {1}{2}}{\sqrt {11+4{\sqrt {5}}}} |
| 74 | - | - | 2.176250899 |  {\sqrt {{\frac {5}{2}}+{\sqrt {5}}}} | 2.232950509 |  {\frac {1}{2}}{\sqrt {11+4{\sqrt {5}}}} |
| 75 | - | - | 2.176250899 |  {\sqrt {{\frac {5}{2}}+{\sqrt {5}}}} | 2.232950509 |  {\frac {1}{2}}{\sqrt {11+4{\sqrt {5}}}} |
| 76 | - | - | 2.176250899 |  {\sqrt {{\frac {5}{2}}+{\sqrt {5}}}} | 2.232950509 |  {\frac {1}{2}}{\sqrt {11+4{\sqrt {5}}}} |
| 77 | - | - | 2.176250899 |  {\sqrt {{\frac {5}{2}}+{\sqrt {5}}}} | 2.232950509 |  {\frac {1}{2}}{\sqrt {11+4{\sqrt {5}}}} |
| 78 | - | - | 2.176250899 |  {\sqrt {{\frac {5}{2}}+{\sqrt {5}}}} | 2.232950509 |  {\frac {1}{2}}{\sqrt {11+4{\sqrt {5}}}} |
| 79 | - | - | 2.176250899 |  {\sqrt {{\frac {5}{2}}+{\sqrt {5}}}} | 2.232950509 |  {\frac {1}{2}}{\sqrt {11+4{\sqrt {5}}}} |
| 80 | - | - | 2.176250899 |  {\sqrt {{\frac {5}{2}}+{\sqrt {5}}}} | 2.232950509 |  {\frac {1}{2}}{\sqrt {11+4{\sqrt {5}}}} |
| 81 | - | - | 2.176250899 |  {\sqrt {{\frac {5}{2}}+{\sqrt {5}}}} | 2.232950509 |  {\frac {1}{2}}{\sqrt {11+4{\sqrt {5}}}} |
| 82 | - | - | 2.176250899 |  {\sqrt {{\frac {5}{2}}+{\sqrt {5}}}} | 2.232950509 |  {\frac {1}{2}}{\sqrt {11+4{\sqrt {5}}}} |
| 83 | - | - | 2.176250899 |  {\sqrt {{\frac {5}{2}}+{\sqrt {5}}}} | 2.232950509 |  {\frac {1}{2}}{\sqrt {11+4{\sqrt {5}}}} |
84: -
85: -
86: -
87: -
88: -
89: -
90: -
91: -
92: -