Calculus

By
Hooneybadgers
Mods

Learn Calculus!

3D in-world graphing of Riemann sums, solids of revolution, and the disk / washer / shell methods. Drop a block, type a function, watch the integral come to life.

Place the Graph Block, right-click to enter a function and bounds, and a textured 3D figure rises out of the block — slices, disks, shells, or a full solid of revolution around any axis. Right-click the block with cobblestone (or anything else) and the figure repaints in that block's texture, tiled across the slices like one continuous wall. Build to teach, decorate, or just see what sin(x*pi) * exp(-x/3) actually looks like in three dimensions.

✨ Features

Seven visualization methods: Riemann (left/right/mid), Trapezoid, Disk, Washer, Shell, and a generalised Solid of Revolution around any horizontal or vertical line
Full math parser — trig, inverse trig, hyperbolic, sqrt, cbrt, abs (with |x| syntax), floor/ceil/round/sign, two-arg pow/atan2/min/max/hypot/mod/log(a, base), plus constants pi, tau, e, phi
Right-click with any block in hand to repaint the figure with that block's texture (tinted correctly so leaves stay green, redstone stays red, etc.)
Texture tiles per world unit — slices share one continuous "wall" of the chosen block instead of each showing its own copy
Slice fill and trace line colours both configurable as hex
Opaque, depth-writing geometry — slices stack correctly from every angle
Auto-rotate with adjustable speed (degrees/sec, signed for direction); pause and resume from the exact same angle
Configurable X / Y scale, slice count (1 – 256), and toggleable axis lines + curve overlay
Graph automatically lifts above the block when the function dips below zero so you can see the part below the y-axis
Scrollable in-world configuration screen with live Enter-to-apply; auto-rotate toggle applies instantly
Sneak-right-click cycles methods inline without opening the menu

📖 How to use it

Place the Graph Block.
Right-click empty-handed → opens the configuration screen. Set f(x), bounds a & b, slice count, scale, fill / trace colors, method, and rotation. Press Enter or Done.
Sneak-right-click → cycles the method inline (Riemann → Trapezoid → Disk → Washer → Shell → Revolve).
Right-click holding a block → that block's texture paints onto the figure, tiled across slices like one continuous wall. Right-click holding the Graph Block itself to clear the texture override.
Mouse wheel in the menu scrolls through the form (it never accidentally cycles a setting).

❓ FAQ

What math syntax is supported?
Operators: + - * / ^ %, parentheses, |x| for absolute value.

Functions: sin/cos/tan/sec/csc/cot, their inverses,

Hyperbolics: exp/ln/log/log2, sqrt/cbrt/abs/floor/ceil/round/trunc/sign,

Two-arg: pow/atan2/mod/max/min/hypot/log(a,base). Constants: pi tau e phi. The variable is always x.

How do I revolve a region around a non-zero axis?
Pick the Solid of Revolution method, set f(x) = top curve, g(x) = bottom curve, rev axis = horizontal or vertical, and rev offset c = the line's offset. e.g. f = sqrt(9 - x^2), g = 0, axis = horizontal, c = -2 gives a hemisphere shifted up by 2.

Can I add this to my modpack?
Yes.

🐛 Bugs & Support

Report issues on the GitHub issue tracker. Please include the loader (Fabric / NeoForge), MC version, the function string you typed, and a latest.log.