Divide into equal parts
Divide into equal parts is a geometry drawing puzzle where every round is random. You get a new shape and a number — 2, 3 or 4 — and your job is to split the figure into that many equal pieces using straight cuts. Sounds easy? A circle is happy to be halved down any diameter. A trapezoid into thirds, on the other hand, will punish any lazy eye.
How the game works
- Random rounds. Each game picks a shape (square, rectangle, triangle, pentagon, hexagon, circle, ellipse, trapezoid or an irregular polygon) and a target number of parts (2, 3 or 4).
- Target in the middle. The big number drawn right inside the figure tells you how many equal pieces you need.
- Drag to cut. Press on the shape and drag in any direction. The line extends across the whole figure automatically, so you only pick the direction.
- Up to N-1 cuts. For 2 parts you get 1 line, for 3 you get 2, for 4 you get 3. Spend them wisely.
- Undo / Check. Undo removes your last line. Check evaluates your split instantly. When you use every allowed cut, the game evaluates automatically.
- Repeat or Next. After each round, two buttons appear at the bottom: Repeat keeps the same shape so you can try again, Next gives you a fresh random puzzle.
The scoring formula is simple: score = (smallest region / largest region) × 100. If any region is way smaller than the others you lose accuracy fast, and if you end up with more or fewer pieces than the target the round doesn’t count as solved.
Next is locked until you nail the part count
A key rule: Next only unlocks when you actually produced the exact number of parts requested. End up with 2 regions when the game asked for 3? Your only option is Repeat — redo the cuts and hit the count before you are allowed to move on. This keeps every round honest and prevents skipping through mistakes.
Tips to score higher
- Aim through the center. For any convex shape, any line through its centroid splits it into two equal-area pieces. The center is your best friend for 2-part rounds.
- Use symmetry. Circles, squares and ellipses have many symmetry axes. A vertical or horizontal cut through the center is an instant 100%.
- Rectangle into thirds. Place two parallel cuts at the 1/3 and 2/3 marks of the long side. Parallel strips are the simplest path to equal areas.
- Square into quarters. Cross a vertical and a horizontal cut through the center — two clean lines and you are done.
- Triangles. A line from any vertex to the middle of the opposite side gives two equal-area triangles. For thirds, use the centroid as a reference point.
- Trapezoids. Parallel cuts rarely work for unequal parallel sides — you usually need angled cuts that compensate for the slant.
- Irregular polygons. Draw a mental centroid first (it sits at the visual “mass” center), then cut through it. Adjust angle to balance the shape.
What the percentages on the regions mean
Once you press Check, each region shows a small pill with its own percentage. The pills always add up to 100% — the game uses a largest-remainder rounding so 4 pieces near 25% won’t display as 25% + 25% + 25% + 24% by accident. If you see 25 / 25 / 25 / 25, you got a perfect quarter split.
Quick checklist
- I identified the center or a line of symmetry before drawing.
- I used my cuts to actually produce the requested number of parts.
- I didn’t leave a tiny sliver region.
- I didn’t create more pieces than the target.
- If the round went wrong, I pressed Repeat and tried the same shape again instead of skipping.