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Mathematical & Physical Constants Cube
This cube is used to display the value of some selected mathematical and physical constants. It can also be used as a Number Composer, but with some limitations however.
The values of a number of usual constants can be displayed on a selected cube face by rotating and twisting some parts of the cube. In the initial state the cube shows the value of π=3.141592 on its front face.
The layout of the Mathematical & Physical Constants Cube was created in 2008 by André Boulouard and Walter Randelshofer.
Mathematical Constants
| Constant | Description |
|---|---|
| π=3.141592 | Archimedes' constant Pi (π) |
| φ=1.618033 | Golden Ratio (φ) |
| e=2.718281 | Napier's constant (e) |
| C=.9159655 | Catalan's constant |
| C=1.456074 | Backhouse constant |
| C=1.839286 | Tribonacci constant |
| C=2.622057 | Lemniscate constant |
| G=.5772156 | Euler-Mascheroni constant (γ) |
| P=1.414213 | Pythagoras' constant (√2) |
| P=1.732050 | Theodorus' constant (√3) |
| P=3.162277 | Pythagorian constant (√10, (√10)2 = 12 + 32) |
Physical Constants
| Constant | Description |
|---|---|
| e=1.602176 | [× 10-19 C] Elementary charge |
| e=8.854187 | [× 10-12 F · m-1] Vacuum permittivity (ε0) |
| C=2.997924 | [× 10+8 m · s-1] Speed of light in vacuum |
| C=.9648533 | [× 10+5 C · mol-1] Faraday's constant |
| C=8.987551 | [× 109 N · m2 C-2] Coulomb's constant |
| G=6.674286 | [× 10-11 m3 · kg-1 · s-2] Gravitational constant |
| G=.9806650 | [× 10+1 m · s-2] Standard Acceleration of Gravity |
| P=6.626069 | [× 10-34 J · s] Planck's constant |
| P=1.672621 | [× 10-27 kg] Proton mass |
Series of numbers converging on the Golden Ratio
| Number | Description |
|---|---|
| φ≈1.618181 | 89/55 |
| φ≈1.617977 | 144/89 |
| φ≈1.618055 | 233/144 |
| φ≈1.618025 | 377/233 |
| φ≈1.618037 | 610/377 |
| φ≈1.618032 | 987/610 |
| φ≈1.618034 | 1597/987 |
| φ≈1.618033 | 2584/1597 |
Some remarkable numbers
| Number | Description |
|---|---|
| π≈3.141592 | 355/113 |
| e≈2.714285 | 2 + 5/7 |
| C=10987654 | 10, 9, 8, 7, 6, 5, 4 |
| C=89101112 | 8, 9, 10, 11, 12 |
| C=35791113 | 3, 5, 7, 9, 11, 13 |
| C=39152127 | 3, 9, 15, 21, 27 |
| C=39816561 | 3, 9 [= 32], 81 [= 92], 6561 [= 812] |
| C=1.837117 | (3/2)3/2 |
| C=1.467523 | (4/3)4/3 |
| C=1.164084 | (6/5)5/6 |
| C=.6666666 | 2/3 |
| C=1.666666 | 5/3 |
| C=2.666666 | 8/3 |
| C=3.666666 | 11/3 |
| C=6.666666 | 20/3 |
| C=8.666666 | 26/3 |
| C=1.111111 | 10/9 |
| C=66666666 | 66666666 |
| C=.9999999 | 0.9999999 |