by google

google / hilbert

Go package for mapping values to and from space-filling curves, such as Hilbert and Peano curves.

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Go package for mapping values to and from space-filling curves, such as Hilbert and Peano curves.

Image of 8 by 8 Hilbert curve

Documentation available here

This is not an official Google product (experimental or otherwise), it is just code that happens to be owned by Google.

How to use


go get github.com/google/hilbert


import "github.com/google/hilbert"

// Create a Hilbert curve for mapping to and from a 16 by 16 space. s, err := hilbert.NewHilbert(16)

// Create a Peano curve for mapping to and from a 27 by 27 space. //s, err := hilbert.NewPeano(27)

// Now map one dimension numbers in the range [0, N*N-1], to an x,y // coordinate on the curve where both x and y are in the range [0, N-1]. x, y, err := s.Map(t)

// Also map back from (x,y) to t. t, err := s.MapInverse(x, y)


The demo directory contains an example on how to draw an images of Hilbert and Peano curves, as well as animations of varying sizes for both.

go run $GOPATH/src/github.com/google/hilbert/demo/demo.go

and the following images are generated.

Simple 8x8 Hibert curve:

8x8 Hilbert curve image

Simple 9x9 Peano curve:

9x9 Hilbert curve image

Animation of Hibert curve with N in the range 1..8:

Hilbert curve animation

Animation of Peano curve with N in the range 1..6:

Peano curve animation

Licence (Apache 2)

Copyright 2015 Google Inc. All Rights Reserved.

Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at


Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License.

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