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

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

Archive

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