Useful Math Functions & Numbers

Last updated Oct 24, 2024 Edit Source

• Houdini
• Vex
• Math

• Wave Expressions

Ratio between two numbers that equals approximately: 1.618

$\frac{a+b}{a}=\frac{a}{b}$

$\phi= 137.5 \degree$ - very useful when creating organic flowery stuff. Have a look at this awesome video from Entagma for more information.

$\frac{360\degree -137,5\degree}{137,5\degree}\approx 1.618$

$F_1=F_2=1$ $F_n=F_{n-1} + F_{n-2}$

0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 …

Check out this amazing page with visualizations on all sorts of easing functions:

https://easings.net/

John Kunz pointed out these constants that can be used in any VEX wrangle:

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// defined in: $HFS/houdini/vex/include/math.h  

M_E         2.7182818    // Euler's number
LN10        2.3025850    // logarithm of 10
LN2         0.6931471    // logarithm of 2
LOG10E      0.4342944
LOG2E       1.4426950
PI          3.1415926    // 180° in radians
M_TWO_PI    6.2831852    // 360° in radians
PI_2        1.5707963    // 90° in radians
PI_4        0.7853981    // 45° in radians
SQRT1_2     0.7071067
SQRT2       1.4142135
TOLERANCE   0.0001

// SOURCE: John Kunz's Wiki