abbreviations used in the following chart -
e = edge of
tet = regular tetrahedron
octa = regular octahedron
sp = volume of sphere
r1 = radius of the square root of 1
r2 = radius of the square root of 2
r3 = radius of the square root of 3
r4 = radius of the square root of 4
d1 = diameter of the square root of 1
d2 = diameter of the square root of 2
d3 = diameter of the square root of 3
d4 = diameter of the square root of 4
rd = rhombic dodecahedron
rspd = rhombic dodecahedron inscribing a sphere
Nccp = the sphere packing density factor for ccp.. .7404804
|
|
|
Constant name |
decimal |
|
2 |
3 |
π |
|
|
|
|
|
|
|
|
|
| 1 |
4 |
V |
1/2 octa er1 |
2.35702260395515 |
|
-0.5 |
-1 |
0 |
| 2 |
7 |
V |
octahedron er 1 |
4.71404520791033 |
|
0.5 |
-1 |
0 |
| 3 |
6 |
V |
octahedron er 2 |
1.33333333333333 |
|
2 |
-1 |
0 |
| 4 |
9 |
V |
octahedron er 3 |
2.44948974278319 |
|
0.5 |
0.5 |
0 |
| 5 |
9 |
V |
octahedron er 4 |
3.77123616632827 |
|
3.5 |
-1 |
0 |
| 6 |
5 |
V |
rd er3 |
1.60000000000000 |
|
4 |
0 |
0 |
| 7 |
9 |
V |
rspd diam is Nccp |
2.87095154447765 |
|
-2 |
-3 |
3 |
| 8 |
9 |
V |
rspd diam is tet er1 vol |
1.15740740740741 |
|
-5 |
-3 |
0 |
| 9 |
9 |
V |
rspd diam is tet er2 vol |
2.61891400439461 |
|
-0.5 |
-3 |
0 |
| 10 |
9 |
V |
rspd diam is tet er3 vol |
1.62379763209582 |
|
-5 |
1.5 |
0 |
| 11 |
9 |
V |
rspd diam is tet er4 vol |
5.92592592592593 |
|
4 |
-3 |
0 |
| 12 |
9 |
V |
rspd diam root 1 |
7.07106781186545 |
|
-0.5 |
0 |
0 |
| 13 |
9 |
V |
rspd diam root 2 |
3.67423461417476 |
|
-0.5 |
1.5 |
0 |
| 14 |
9 |
V |
rspd diam root 3 |
1.03354255601195 |
|
0 |
-1 |
3 |
| 15 |
9 |
V |
rspd rad is Nccp |
2.29676123558212 |
|
1 |
-3 |
3 |
| 16 |
9 |
V |
rspd rad is tet er1 vol |
9.25925925925926 |
|
-2 |
-3 |
0 |
| 17 |
9 |
V |
rspd rad is tet er2 vol |
2.09513120351570 |
|
2.5 |
-3 |
0 |
| 18 |
9 |
V |
rspd rad is tet er3 vol |
1.29903810567666 |
|
-2 |
1.5 |
0 |
| 19 |
9 |
V |
rspd rad is tet er4 vol |
4.74074074074074 |
|
7 |
-3 |
0 |
| 20 |
9 |
V |
rspd rad root 3 |
2.93938769133983 |
|
2.5 |
1.5 |
0 |
| 21 |
9 |
V |
rspd rad root 4 |
4.52548339959392 |
|
5.5 |
0 |
0 |
| 22 |
8 |
V |
rspd Volume 1 |
1.35047447423567 |
|
0.5 |
1 |
-1 |
| 23 |
8 |
V |
rspd Volume 2 |
2.70094894847133 |
|
1.5 |
1 |
-1 |
| 24 |
9 |
V |
rspd Volume 3 |
4.05142342270700 |
|
0.5 |
2 |
-1 |
| 25 |
8 |
V |
rspd Volume 4 |
5.40189789694266 |
|
2.5 |
1 |
-1 |
| 26 |
8 |
V |
sp area root 1 |
1.55140377955051 |
|
2 |
-4 |
1 |
| 27 |
8 |
V |
sp area root 2 |
4.38803253151445 |
|
3.5 |
-4 |
1 |
| 28 |
8 |
V |
sp area root 3 |
8.06133050770761 |
|
2 |
-2.5 |
1 |
| 29 |
8 |
V |
sp area root 4 |
1.24112302364041 |
|
5 |
-4 |
1 |
| 30 |
9 |
V |
sp diam is Nccp |
2.12588360553582 |
|
-2.5 |
-4 |
4 |
| 31 |
9 |
V |
sp diam is tet er1 vol |
8.57037603811409 |
|
-5.5 |
-4 |
1 |
| 32 |
9 |
V |
sp diam is tet er2 vol |
1.93925472443814 |
|
-1 |
-4 |
1 |
| 33 |
9 |
V |
sp diam is tet er3 vol |
1.20239046577674 |
|
-5.5 |
0.5 |
1 |
| 34 |
9 |
V |
sp diam root 1 |
5.23598775598298 |
|
-1 |
-1 |
1 |
| 35 |
8 |
V |
sp diam root 2 |
1.48096097938613 |
|
0.5 |
-1 |
1 |
| 36 |
7 |
V |
sp diam root 3 |
2.72069904635133 |
|
-1 |
0.5 |
1 |
| 37 |
9 |
V |
sp rad is Nccp |
1.70070688442867 |
|
0.5 |
-4 |
4 |
| 38 |
9 |
V |
sp rad is tet er1 vol |
6.85630083049127 |
|
-2.5 |
-4 |
1 |
| 39 |
9 |
V |
sp rad is tet er3 vol |
9.61912372621395 |
|
-2.5 |
0.5 |
1 |
| 40 |
9 |
V |
sp rad is tet er4 vol |
3.51042602521156 |
|
6.5 |
-4 |
1 |
| 41 |
9 |
V |
sp rad pi |
1.29878788045337 |
|
2 |
-1 |
4 |
| 42 |
9 |
V |
sp rad root 1 |
4.18879020478639 |
|
2 |
-1 |
1 |
| 43 |
8 |
V |
sp rad root 2 |
1.18476878350890 |
|
3.5 |
-1 |
1 |
| 44 |
8 |
V |
sp rad root 3 |
2.17655923708106 |
|
2 |
0.5 |
1 |
| 45 |
1 |
V |
sp rad root 4 |
3.35103216382911 |
|
5 |
-1 |
1 |
| 46 |
6 |
V |
tet er1 |
1.17851130197758 |
|
-1.5 |
-1 |
0 |
| 47 |
7 |
V |
tet er2 |
3.33333333333333 |
|
0 |
-1 |
0 |
| 48 |
6 |
V |
tet er3 |
6.12372435695793 |
|
-1.5 |
0.5 |
0 |
| 49 |
3 |
V |
tet er4 |
1.76776695296636 |
|
-2.5 |
0 |
0 |
|
|
|
|
|
|
|
|
|