Atmospheric Snowfall

Winter precipitation physics capturing Brownian horizontal flutter, Stokes settling velocities, rotational tumbling, and multi-depth bokeh parallax with 6-pointed hexagonal crystallites.

Playground

60 FPS • Canvas 2D

Click + Drag to interact with field

Live Parameters

Breeze Drift Force 0.4

Lateral wind flutter velocity

Snowflake Density 380

Atmospheric snowflake count

Mathematical Formulation

86 chars medium

Analytical Equation

v_z = \frac{2 r^2 (\rho_s - \rho_a) g}{9 \mu}, \quad x(t) = x_0 + A_w \sin(\omega_w t + \phi_i) + F_{\text{wind}} r, \quad \theta_{\text{flake}}(t) = \omega_r t

Compact Formula

drift = sin(phase)*1.2 + wind*r*0.8, fy += speed*dt, crystallite = 6_arm_dendrite(r)

Renderer Logic

const drift = Math.sin(fWobblePhase[i]) * 1.2 + windForce * (fRadius[i] * 0.8);
fy[i] += fSpeed[i] * dt;
ctx.lineTo(Math.cos(angle) * armLen, Math.sin(angle) * armLen);

Open in Playground Zero Dependencies • Standalone

Mathematical Tags

#snow #winter #weather #atmosphere #crystals #botany #nature

Author: Math Art Core Target: 60 FPS

Atmospheric Snowfall

Live Parameters

Mathematical Formulation

Mathematical Tags

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