Manim Academy

Riemann sums

Riemann sums preview
remixableManimCE2Dintegralloop

manim/riemann_sums.py

"""Riemann sums: midpoint rectangles multiplying toward the smooth area.

Render (the driver does this for every palette; these are for eyeballing):
    P=/opt/homebrew/opt/python@3.11/bin/python3.11
    ASSET_MODE=still  $P -m manim -s -t -r 1600,1600 manim/riemann_sums.py RiemannSums
    ASSET_MODE=motion $P -m manim -qh   -r 1600,1600 manim/riemann_sums.py RiemannSumsLoop
"""

import numpy as np
from manim import (
    DOWN,
    LEFT,
    UP,
    FadeIn,
    FadeOut,
    NumberPlane,

The full Manim source and the rendered video come with a plan.

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