mscroggs.co.uk
mscroggs.co.uk
blog     puzzles     academic     talks     contact     subscribe↓ ☰ ↓

subscribe

Advent calendar 2017

5 December

This puzzle was part of the 2017 Advent calendar.
All 2017 advent puzzles ~ More information
You start at A and are allow to walk left, right, up or down along the grid. The grid continues forever in every direction. After you have walked thirteen units, how many different locations could you be in?

Show answer

Tags: routes, taxicab geometry

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2025

Advent calendar 2024

Advent calendar 2023

Advent calendar 2022
List of all puzzles

Tags

trigonometry time neighbours books geometric means factors bases quadrilaterals angles partitions consecutive integers quadratics people maths star numbers means matrices symmetry algebra shape percentages chalkdust crossnumber circles spheres rectangles multiples factorials numbers integration menace pentagons dates pascal's triangle shapes averages grids 2d shapes doubling determinants wordplay scales chess folding tube maps odd numbers money prime numbers palindromes cryptic crossnumbers polynomials number square numbers combinatorics probabilty ellipses games complex numbers sums functions sequences range square grids volume binary expansions consecutive numbers irreducible numbers chocolate triangle numbers triangles arrows crossnumbers the only crossnumber albgebra speed cryptic clues taxicab geometry proportion probability indices lists dice coordinates differentiation mean sum to infinity unit fractions xor crosswords multiplication cube numbers ave gerrymandering square roots logic products area medians geometric mean fractions graphs cubics axes regular shapes routes integers digital products perfect numbers perimeter surds sport parabolas even numbers christmas hexagons powers tournaments decahedra division colouring tangents geometry elections tiling digits sets balancing floors dominos calculus clocks median lines cards squares digital clocks rugby multiplaction squares planes coins dodecagons 3d shapes remainders advent addition prime factors polygons

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2026