-
Notifications
You must be signed in to change notification settings - Fork 7
Open
Labels
Description
Radical Constants 👍
In addition to Math.TAU = 2·π = τ #5, at least some of these would make sense to have as well
- (
Number.EPSILON= ε already exists)
| Constant | Calculation | Definition | Symbol | Approximate value | Name | |
|---|---|---|---|---|---|---|
| 👍 | Math.PHI |
(Math.SQRT5 + 1) / 2 |
½+√1¼ | φ | 1.6180339887498948 | Golden Number or Golden Ratio |
| 👎 | Math.PHIM1 |
1/Math.PHI = Math.PHI-1 |
Φ | 0.6180339887498948 | ||
| 👍 | Math.SQRT2P1 |
Math.SQRT2 + 1 |
δs | 2.4142135623730950 | Silver Ratio | |
| 👎 | Math.THETA |
Math.sqrt(Math.PI) * Math.PHI |
φ·√π | θ | 2.8678905742557635 | |
| 👎 | Math.RHO |
(Math.cbrt(0.5+Math.sqrt(69)) + Math.cbrt(0.5-Math.sqrt(69)))/18 |
³√(½ + √69)/18 + ³√(½ − √69)/18 | ρ | 1.324717… | Plastic Ratio or Platin Number |
| 👍 | Math.SQRT3 |
Math.sqrt(3) |
√3 | 1.732050807568877 | Theodorus constant | |
| 👍 | Math.SQRT5 |
Math.sqrt(5) |
√5 | 2.2360679774997897 | ||
| 👍 | Math.SQRT3_2 |
Math.sqrt(1.5) |
√1½ | 1.2247448713915890 | ||
| 👍 | Math.SQRT2_3 |
Math.sqrt(2/3) |
√⅔ | 0.8164965809277260 |
Standard angles in radians 👎
Twelfths 👎
| Constant | Calculation | Degrees | Approximate radians |
|---|---|---|---|
Math.CLOCK1 = Math.DEG30 |
Math.PI / 6 |
30° | 0.524 |
Math.CLOCK2 = Math.DEG60 |
Math.PI / 3 |
60° | 1.047 |
Math.CLOCK3 = Math.DEG90 |
Math.PI / 2 |
90° | 1.571 |
Math.CLOCK4 = Math.DEG120 |
Math.PI * 2/3 |
120° | 2.094 |
Math.CLOCK5 = Math.DEG150 |
Math.PI * 5/6 |
150° | 2.618 |
Math.CLOCK6 = Math.DEG180 |
Math.PI |
180° | 3.142 |
Math.CLOCK7 = Math.DEG210 |
Math.PI * 7/6 |
210° | 3.665 |
Math.CLOCK8 = Math.DEG240 |
Math.PI * 4/3 |
240° | 4.189 |
Math.CLOCK9 = Math.DEG270 |
Math.PI * 3/2 |
270° | 4.712 |
Math.CLOCK10 = Math.DEG300 |
Math.PI * 5/3 |
300° | 5.236 |
Math.CLOCK11 = Math.DEG360 |
Math.PI * 11/6 |
330° | 5.760 |
Math.CLOCK12 = Math.DEG360 |
Math.PI * 2 = Math.TAU |
360° | 6.283 |
Fourths, Eighths or Sixteenths 👎
| Constant | Calculation | Degrees | Approximate radians | Compass |
|---|---|---|---|---|
Math.NORTH = Math.DEG360 |
0 |
0° | 0 | North |
Math.NNE |
Math.PI / 8 |
22½° | 0.393 | North-Northeast |
Math.NE = Math.DEG45 |
Math.PI / 4 |
45° | 0.785 | Northeast |
Math.ENE |
Math.PI * 3/8 |
67½° | 1.178 | East-Northeast |
Math.EAST = Math.DEG90 |
Math.PI / 2 |
90° | 1.571 | East |
Math.ESE |
Math.PI * 5/8 |
112½° | 1.963 | East-Southeast |
Math.SE = Math.DEG135 |
Math.PI * 3/4 |
135° | 2.356 | Southeast |
Math.SSE |
Math.PI * 7/8 |
157½° | 2.749 | South-Southeast |
Math.SOUTH = Math.DEG180 |
Math.PI |
180° | 3.142 | South |
Math.SSW |
Math.PI * 9/8 |
202½° | 3.534 | South-Southwest |
Math.SW = Math.DEG225 |
Math.PI * 5/4 |
225° | 3.927 | Southwest |
Math.WSW |
Math.PI * 11/8 |
247½° | 4.320 | West-Southwest |
Math.WEST = Math.DEG270 |
Math.PI * 3/2 |
270° | 4.712 | West |
Math.WNW |
Math.PI * 13/8 |
292½° | 5.105 | West-Northwest |
Math.NW = Math.DEG315 |
Math.PI * 7/4 |
315° | 5.498 | Northwest |
Math.NNW |
Math.PI * 15/8 |
337½° | 5.890 | North-Northwest |
Reactions are currently unavailable