benchmarks.wiki / Public workspace

Omni-MATH / Circle ω₁ of radius 1 and circle ω₂ of radius 2 are concentric. Godzilla inscribes square CASH in ω₁ and regular pentagon MONEY in ω₂. It then writes down all 20 (not necessarily d…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Circle ω1\omega_{1} of radius 1 and circle ω2\omega_{2} of radius 2 are concentric. Godzilla inscribes square CASHC A S H in ω1\omega_{1} and regular pentagon MONEYM O N E Y in ω2\omega_{2}. It then writes down all 20 (not necessarily distinct) distances between a vertex of CASHC A S H and a vertex of MONEYM O N E Y and multiplies them all together. What is the maximum possible value of his result?
Plain-text mathematical notation (without MathML)
Circle ω₁ of radius 1 and circle ω₂ of radius 2 are concentric. Godzilla inscribes square CASH in ω₁ and regular pentagon MONEY in ω₂. It then writes down all 20 (not necessarily distinct) distances between a vertex of CASH and a vertex of MONEY and multiplies them all together. What is the maximum possible value of his result?
Original LaTeX notation
Circle $\omega_{1}$ of radius 1 and circle $\omega_{2}$ of radius 2 are concentric. Godzilla inscribes square $C A S H$ in $\omega_{1}$ and regular pentagon $M O N E Y$ in $\omega_{2}$. It then writes down all 20 (not necessarily distinct) distances between a vertex of $C A S H$ and a vertex of $M O N E Y$ and multiplies them all together. What is the maximum possible value of his result?

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

Official source

initial import