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Exploring Mount Neverest

Michiel de Bondt

Abstract

The problem `Exploring Mount Neverest' by Henry Ernest Dudeney is solved. Dudeney formulated the problem in the beginning of the 20th century and gave a non-optimal solution (without estimating the non-optimality).

Exploring Mount Neverest

Abstract

The problem `Exploring Mount Neverest' by Henry Ernest Dudeney is solved. Dudeney formulated the problem in the beginning of the 20th century and gave a non-optimal solution (without estimating the non-optimality).

Paper Structure

This paper contains 4 sections, 8 theorems, 48 equations, 3 algorithms.

Key Result

Lemma 1

We may assume that the exploration can be divided into parts A, B and C as above, such that the boundary of part A and part B is not crossed by any ration box, sealed or unsealed. Furthermore, we may assume that part C is a trip from the boundary of part A and part B straight to the starting point.

Theorems & Definitions (16)

  • Lemma 1
  • proof
  • Lemma 2
  • proof
  • Lemma 3
  • proof
  • Lemma 4
  • proof
  • Lemma 5
  • proof
  • ...and 6 more