# Pascal's Loom — Remainders Puzzle | Mathallery

Source: https://mathallery.com/games/pascal/

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# Pascal's Loom

Remainders · 30 levels

Weave Pascal's rule and watch Sierpinski appear.

## How to play

- Every cell is the sum of the two cells above it, written as the remainder mod n (threads outside the cloth count 0).
- Tap a spool (its colour is a remainder), then tap empty cells to dye them. Pinned cells are given. Tap a cell again or use ✂ to unpick.
- Work backwards too: if you know a cell and one parent, the other parent is the difference. On mod ? looms, find n first.

A cell under two threads is their sum; a thread above is the cell below minus its neighbour. Mod 3: 2 + 2 = 4 → 1.

[Open Pascal's Loom](https://mathallery.com/#/play/pascal/1)

Teeter, Tint and Echo Heist are free starters. Other games unlock through earned game choices or permanent packs. Your progress stays in the browser; optional sign-in saves it to your website account.