Questions tagged [hexagonal-grid]
For challenges involving data on a hexagonal grid. Use this tag also for triangular grids, the dual of the hexagonal grid (that is, the vertices of the hexagonal grid form the faces of the triangular grid and vice versa).
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Consolidate a 6-axis 2-dimensional Vector
Typically, when we want to represent a magnitude and direction in 2D space, we use a 2-axis vector. These axes are typically called X and Y:
This isn't always convenient, however. The game BattleTech ...
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Totally random Catan number distributions
I like to play (The Settlers of) Catan on Board Game Arena with totally random number tokens. These tokens determine the production rate of the terrain tiles beneath:
There are 18 number tokens, two ...
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A better Hexagony template
We once made a Hexagony template without actually knowing it. But after a bit of experience with Hexagony, it becomes apparent that it is not enough; sometimes the source code is too short for the ...
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Is this hexagon symmetric?
TLDR: This is the hexagonal version of Is this square symmetrical?
Given a hexagonal grid, decide if it is symmetric.
The shape of the grid is a regular hexagon. Each cell in the grid has two possible ...
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AoCG2021 Leftover: HexaGoL
This challenge is one of the two challenges which were planned for Advent of Code Golf 2021, but didn't fit into the 25-day schedule.
Related to AoC2020 Day 24, Part 2.
Given a binary configuration ...
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AoCG2021 Day 17: Langton's Hexa-Virus
The story continues from AoC2017 Day 22, Part 2.
The damn virus that was infecting a grid computing cluster now has jumped to a hexagonal computing cluster! In this cluster, the computers are ...
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AoCG2021 Day 6: Taxicab in a triangular city
Part of Advent of Code Golf 2021 event. See the linked meta post for details.
Related to AoC2016 Day 1, Part 1.
You're airdropped near Easter Bunny Headquarters in a city somewhere. "Near", ...
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Stack the rocks
This is a rock:
*
Rocks can be stacked. Apart from the bottom-most layer, each rock must rest on two other rocks, like this:
...
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Maximal hexagonal dot pattern
Challenge
Imagine a hexagonal grid as shown below. Let's call such a grid has size \$n\$ if it has \$n\$ dots on one side. The following is one of size 3:
...
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Hexagonal section numbers
Introduction
Let's draw some regular hexagons formed by hexagonal tiles, marking the vertices of the tiles with dots. Then we will count the number of dots.
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Sticky polyhexes
Background
A polyhex of size \$n\$ is a contiguous shape made from joining \$n\$ unit regular hexagons side-by-side. As an example, the following image (from Wikipedia) contains all 7 distinct ...
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Cut a triangle into equal-sized parts!
Similar in spirit to Number of distinct tilings of an n X n square with free n-polyominoes and Partition a square grid into parts of equal area, this challenge will have you count ways of partitioning ...
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Number of tilings on a triangular board with triangular tiles
Background
Consider the shape \$T(n)\$ consisting of a triangular array of \$\frac{n(n+1)}{2}\$ unit regular hexagons:
John Conway proved that \$n = 12k + 0,2,9,11\$ if and only if \$T(n)\$ can be ...
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Counting shortest paths on a triangular grid
Background
An Eisenstein integer is a complex number of the form \$ z = a + b\omega \$ where \$a, b\$ are integers and \$\omega\$ is the third root of unity \$\frac{1-\sqrt3i}{2}\$. The Eisenstein ...
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What can you see on a hexagonal spiral?
This code-golf challenge will have you computing OEIS sequence A300154.
Consider a spiral on an infinite hexagonal grid. a(n) is the number of cells in the part of the spiral from 1st to n-th cell ...
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Counting creatures on a hexagonal tiling
This challenge will have you count "creatures" in the tile game Palago.
A creature is any closed shape that can be formed by Palago tiles of matching colour in a hexagonal grid.
The game Palago ...
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A spiral sequence
Background
OEIS sequence A272573 describes a spiral on a hexagonal grid as follows:
Start a spiral of numbers on a hexagonal tiling, with the initial hexagon as a(1) = 1. a(n) is the smallest ...
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Triangular Lattice Points close to the Origin
Background
A triangular grid is a grid formed by tiling the plane regularly with equilateral triangles of side length 1. The picture below is an example of a triangular grid.
A triangular lattice ...
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Halting Problem for Simplified Hexagony
Introduction
Decide whether a Hexagony program composed solely of the characters .)_|\/><@ will halt using least bytes.
Challenge
Hexagony is a language ...
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ASCII Hexagon Chain
Problem
Draw a hexagon chain x long, each with side of y length
Input
x - the length of ...
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Hexagonal adjacency
The above image displays a hexagonal grid of hexagons. Each cell in the grid is assigned an index, starting from the center and spiraling counterclockwise around as shown. Note that the grid will ...
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ASCII Rubik's Cube
Inspired by this and the following chat:
Your task is to output the following:
_ _ _
/_/_/_/\
/_/_/_/\/\
/_/_/_/\/\/\
\_\_\_\/\/\/
\_\_\_\/\/
\_\_\_\/
...
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THE Magic Hexagon
There are many magic squares, but there is just one non-trivial magic hexagon, as Dr. James Grime explained, which is the following:
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Hexagonal Triangles!
Your task: make a hexagonal triangle with side length n, where n is a positive whole number or 0.
First, let me define a ...
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Working on my Knight moves
Hexagonal chess describes a family of chess variants played on a board where the cells are hexagons instead of the traditional squares. There are many such variants; in this challenge we'll be ...
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Embedded Hexagons!
Your task: given an integer n, generate an embedded hexagon pattern following the below rules, to the nth depth.
An embedded hexagon has the basic shape of this: (...
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Triangular Manhattan Distance
The Manhattan distance on a regular grid is the number of orthogonal steps one needs to take to reach one cell from another. Orthogonal steps are those that go through the edges of the grid cells (as ...
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Could you make me a hexagon please?
Today, we're going to make an ASCII hexagon. You must write a program or function that takes a positive integer n, and outputs a hexagon grid of size n, made up of asterisks. For example, a hexagon of ...
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Snowman Bowling
(related/inspired by: Draw a bowling formation)
A fun pastime in the winter months here is to perform snowman bowling, using a large ball (like a basketball) and tiny snowman figures. Let's recreate ...
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Make a ASCII Hexagon Ring Tiling
Using ASCII print a section of a hexagon ring tiling.
Here's a small section:
...
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Hexagonal coordinates: Polar to Cartesian
Wikipedia says about Polar Coordinates:
In mathematics, the polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference ...
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Hexagolf: Validagons
Challenge
Given an ASCII art shape, you must find out whether the shape is a regular hexagon or not.
Hexagons
A regular hexagon is defined using two rules:
It has six sides
Each side has equal ...
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HexaGolf: Rotatagons
See also: Wordagons
Challenge
Given a hexagon and a number n as input, output the same hexagon rotated n times.
Hexagon
The ...
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HexaGolf: Wordagons
See also: Rotatagons
Challenge
Given a string as input, output its wordagon.
Wordagons
A wordagon is a way of representing a string in a hexagon. Now, let's create a wordagon from the string ...
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Hexplosive ASCII-art challenge
In the strategy game "Hexplode", players take turns placing tokens on a hexagonal board. Once the number of tokens equals the number of adjacent tiles, that tile hexplodes, and moves all of the tokes ...
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Highlight the Bounding Box, Part II: Hexagonal Grid
You're given a hexagonal grid of the characters . and #, like this:
...
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Gauss to Eisenstein
Given a Gaussian integer \$a+bi\$ where \$a\$,\$b\$ are integers and \$i = \exp\left(\pi i/2\right)\$ is the imaginary unit, return the closest (w.r.t to the Euclidean distance) Eisenstein integer \$k+...
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HexaRegex: A Tribute to Martin Ender
Martin Ender recently hit 100K, and has come up with some pretty awesome languages. We're going to have a bit of fun with one of them, Hexagony (and a bit of regex for Retina)
As a brief overview, ...
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Counting Eisenstein primes
Introduction
Eisenstein integers are complex numbers of the form
a+bω
Where a,b are integers, and
...
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Draw and label an ASCII hexagonal grid
In my previous challenge, I
drew the first diagram mostly by hand (with the help of vim's visual block
mode). But surely there must be a better way...
Given an input of two dimensions, a width and a ...
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Motion on a hexagonal grid
Given an input of a series of characters representing movements on a hexagonal
grid, output the final coordinates of the "pointer."
Our hexagons will be numbered like so (imagine a rectangular grid ...
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Triangular Ulam spiral
We've had a couple of challenges about the Ulam spiral. But that's not enough.
In this challenge we will plot a triangular Ulam spiral (as opposed to the usual, square Ulam spiral). Here's a sketch ...
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Triangular Grids: Simply Connected Polyiamonds
While we're on a triangular grids kick, I'd like to point out that there is an equivalent to polyominoes on a triangular grid. They are called polyiamonds, and they are shapes formed by gluing ...
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Alignment on Triangular Grids
Hexagonal grids have been become a fairly popular twist for challenges about 2-dimensional data recently. However, it seems that the equally interesting triangular grids have been largely neglected so ...
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Unfolding the Hexagony source code
Introduction
If you're not familiar with Hexagony, it's an esoteric language created by Martin Büttner. The thing is that this language accepts multiple forms for the program. The following programs ...
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Hexagonal maze time!
Time for another maze challenge, but not as you know it.
The rules for this challenge are a little different than most maze challenges. The tile types are defined as follows:
...
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Packing Circles
Take a look at this image. Specifically, at how the holes on the ends are arranged.
(Image source)
Notice how the pipes in this image are packed in a hexagonal pattern. It is known that in 2D, a ...
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Program the Cup-Stacking Robot
I'm sure everyone has seen before that cups can be stacked into pyramids (and other shapes):
A
A A A
A A A A A
A A A A A A A A
...
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ASCII connected hexagons
Overview
Given a number of hexagons, arrange them into a connected shape within the confines of a 50 by 50 ASCII art image. The shape you choose can be arbitrary - whatever you find most amenable to ...
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Rotate a diamond tiling
Any regular hexagon can be tiled with diamonds, for instance like so (stolen from this question):
...
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