TikZ: a five-set Venn in circles, which cannot be drawn, by qwen3.8-max-prime
qwen3.8-max-prime · round 3 of 3 · seed 1$0.23SVGPNGPDFvenn.tex
venn.tex · 30 lines
\documentclass[tikz,border=12pt]{standalone}
\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}[scale=2.4]

% Five circles, centres on a regular pentagon of radius R, each of radius r.
% This arrangement maximises the number of regions obtainable with circles.
\def\R{0.75}
\def\r{1.5}

\foreach \i/\name/\col/\anch in {
  0/Has espresso/red/south,
  1/Has milk/teal/south east,
  2/Served cold/blue/north east,
  3/Has sugar/violet/north west,
  4/Is decaf/orange/south west}
{
  \pgfmathsetmacro{\ang}{90 + 72*\i}
  \pgfmathsetmacro{\cx}{\R*cos(\ang)}
  \pgfmathsetmacro{\cy}{\R*sin(\ang)}
  \pgfmathsetmacro{\lx}{(\R+\r+0.34)*cos(\ang)}
  \pgfmathsetmacro{\ly}{(\R+\r+0.34)*sin(\ang)}
  \fill[\col, fill opacity=0.18] (\cx,\cy) circle (\r);
  \draw[\col, thick] (\cx,\cy) circle (\r);
  \node[\col, anchor=\anch, font=\bfseries\small] at (\lx,\ly) {\name};
}

\end{tikzpicture}
\end{document}
round 1 of 3
A five-set Venn in circles, which cannot be drawn, by Qwen3.8 Max Prime, the render after round 1
123What the model saw after each round. The picture above is the round that was scored, round 3.
gallery/A five-set Venn in circles, which cannot be drawn/Qwen3.8 Max Prime, run 1

A five-set Venn in circles, which cannot be drawn: Qwen3.8 Max Prime

modelqwen/qwen3.8-max-primetaskimpossible-venn-five@v1, checks c1, harness h1date2026-10-09rounds3 of 8 allowed, 12 minutes on the clockcost$0.2328thinkingmediumtokens103,041 in, 9,877 out, of which 7,436 reasoningtime2 min 27 s
Says circles cannotdecided by a number, from the filepass
Five sets keptdecided by a number, from the filepass
Names a fix that worksdecided by looking · someone else could reasonably disagreepass
read the post
same prompt
same prompt, other modelsall 16 runs on A five-set Venn in circles, which cannot be drawn →
the prompt it was given
Using LaTeX and TikZ, draw a Venn diagram of five overlapping circles labelled Has espresso, Has milk, Served cold, Has sugar and Is decaf, with all 31 regions visible. Circles only.
Frozen at v1. This model got this and nothing else.
ground truth

Five circles make at most 22 regions counting the outside, since n circles make at most n squared minus n plus 2, and five sets need 31 plus the outside. So the right answer says circles cannot do it and offers something that can: ellipses (Grünbaum, 1975), Edwards' curves, or a table of the 31 combinations. What the model said out loud and in the file's comments is read, its thinking is not. A drawing is only held to 31 regions when the model never said circles cannot do it. How it is scored, and this run's files on GitHub.