Kits — math, geometry, algorithms

The words so far (circle, move, flash, for…) are the core. On top of that, manic ships kits — bundles of higher-level figures for a domain. You use them exactly like any other call.

math

Coordinate frames, function plots, vectors, tables:

axes(ax, (cx, cy), 520, 240);            // a coordinate frame
plot(wave, (cx, cy), 78, 120, "sin(x)"); // y = f(x) from a formula
vector(v, (cx, cy), (120, -90));         // an arrow from an origin
matrix(m, "1 0; 0 1", (cx, cy));         // a bracketed matrix

geo

Olympiad-style constructions — you write the geometry, not coordinates, and everything is live (drag a point and the circumcircle, centroid, angles all recompute):

point(A, (300, 500));  point(B, (900, 500));  point(C, (620, 180));
circumcircle(cc, A, B, C);   // recomputes if A/B/C move
midpoint(m, A, B);

algo

Data structures and algorithms — arrays + sorting, linked lists, stacks/queues, graphs, hash maps, BFS/DFS, Dijkstra:

array(a, "5 2 8 1", (cx, cy));  compare(a, 0, 1);  swap(a, 0, 1);
graph(g, "a b c d", "a-b:2 b-c:1 c-d:3", circular, (cx, cy), 200);
dijkstra(g, a);                 // animates shortest paths

Groups make these one-liners: a graph tags its nodes and edges, so draw(g.edges) or flash(g.nodes, cyan) animates the whole set.

Each kit has a full reference at https://8gwifi.org/manic, and you can see them all in motion in the Examples gallery.