What question did this study set out to answer?

The aim is to establish a lower bound for the solution of the n_1 × n_2 × … × n_k points problem, extending the nine dots puzzle.

May 2, 2026Open Access

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Key Points

The aim is to establish a lower bound for the solution of the n_1 × n_2 × … × n_k points problem, extending the nine dots puzzle.
Construct a mathematical framework to analyze the points problem
Apply combinatorial techniques to derive bounds
Extend existing knowledge from the nine dots puzzle to higher dimensions
Demonstrated a new lower bound for the points problem
Provided theoretical insights applicable to multiple dimensions
Revealed potential implications for related combinatorial puzzles

Abstract

In this paper, we construct a lower bound for the solution of the "n₁ × n₂ × … × nₖ points problem" (an extension of the well-known "nine dots puzzle" by Samuel Loyd).

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Cite This Study

Valerio Bencini (Tue,) studied this question.

synapsesocial.com/papers/69f5941871405d493affef22 https://doi.org/https://doi.org/10.5281/zenodo.19929078

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