Triangulumancer

This project provides tools to construct $n$-dimensional triangulations of point configurations. It uses CGAL's dD Triangulations package to construct Delaunay and regular triangulations with given heights/weights, and it uses TOPCOM to find pulling/pushing triangulations, to find the list of available bistellar flips, and to find the complete list of triangulations of a point configuration.

The functionality and documentation of this project are currently fairly limited. If there is enough interest, I will continue to expand on both functionality and documentation. Please open an issue to ask for more functionality, or even better, make a pull request!

Installation

Triangulumancer can be installed in most cases simply by running

pip install triangulumancer

If you want to tweak compilation parameters or anything else, you can clone the repository and build the wheel yourself.

git clone https://github.com/ariostas/triangulumancer.git
cd triangulumancer
pip install .
# If you need to install the dependencies yourself, you can do so with
# conda install -c conda-forge c-compiler cxx-compiler eigen cgal gmp libboost cddlib cmake

Usage

Here is a basic example that shows the available functionality.

>>> from triangulumancer import PointConfiguration
>>>
>>> p = PointConfiguration(
...     [[0, 0], [1, 0], [1, 1], [0, 1], [-1, 1], [-1, 0], [-1, -1], [0, -1], [1, -1]]
... )
>>> p
A 2-dimensional point configuration with 9 points
>>> t_delaunay = p.delaunay_triangulation()
>>> t_delaunay
A triangulation with 8 simplices of a point configuration with 9 points
>>> t_heights = p.triangulate_with_heights([1, 2, 3, 4, 5, 6, 7, 8, 9])
>>> t_heights
A triangulation with 8 simplices of a point configuration with 9 points
>>> t_weights = p.triangulate_with_weights([1, 2, 3, 4, 5, 6, 7, 8, 9])
A triangulation with 5 simplices of a point configuration with 9 points
>>> t_placing = p.placing_triangulation()
A triangulation with 8 simplices of a point configuration with 9 points
>>> t_placing_neighbors = t_placing.neighbors()
>>> len(t_placing_neighbors)
6
>>> list_t_connected = p.all_connected_triangulations()
>>> len(list_t_connected)
>>> 387
>>> list_t_connected_fine = p.all_connected_triangulations(only_fine=True)
>>> len(list_t_connected_fine)
64
>>> list_t_all = p.all_triangulations()
>>> len(list_t_all)
387
>>> list_t_all_fine = p.all_triangulations(only_fine=True)
>>> len(list_t_all_fine)
64

There is equivalent functionality for vector configurations, but it is not fully complete and has not been tested as much, so we have not included it in the example above.

Please open an issue if have any issues or want to see more functionality. Pull requests are also welcome!

License

All original triangulumancer code is distributed under the GNU General Public License version 3. It directly depends on CGAL and TOPCOM. Since packaged versions of triangulumancer include CGAL and TOPCOM, the license of those packages also applies. Please refer to the CGAL and TOPCOM websites for more information.

Release files for triangulumancer 0.3.0

For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.

Source distribution (sdist)

Source distribution for triangulumancer 0.3.0
File	Size	Uploaded
triangulumancer-0.3.0.tar.gz	37.4 kB	Apr 9, 2026	Details

Built distributions (wheels)

Table of built distributions (wheels) for triangulumancer 0.3.0
File	Interpreter	ABI	Platform	Reset
triangulumancer-0.3.0-cp314-cp314t-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl 2.2 MB Apr 9, 2026	CPython 3.14	CPython 3.14 free-threading	Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64	Details
triangulumancer-0.3.0-cp314-cp314t-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl 2.0 MB Apr 9, 2026	CPython 3.14	CPython 3.14 free-threading	Linux glibc 2.28+ ARM64, Linux glibc 2.26+ ARM64	Details
triangulumancer-0.3.0-cp314-cp314t-macosx_14_0_arm64.whl 1.5 MB Apr 9, 2026	CPython 3.14	CPython 3.14 free-threading	macOS 14.0+ ARM64	Details
triangulumancer-0.3.0-cp314-cp314-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl 2.2 MB Apr 9, 2026	CPython 3.14	CPython 3.14	Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64	Details
triangulumancer-0.3.0-cp314-cp314-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl 2.0 MB Apr 9, 2026	CPython 3.14	CPython 3.14	Linux glibc 2.26+ ARM64, Linux glibc 2.28+ ARM64	Details
triangulumancer-0.3.0-cp314-cp314-macosx_14_0_arm64.whl 1.5 MB Apr 9, 2026	CPython 3.14	CPython 3.14	macOS 14.0+ ARM64	Details
triangulumancer-0.3.0-cp313-cp313-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl 2.2 MB Apr 9, 2026	CPython 3.13	CPython 3.13	Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64	Details
triangulumancer-0.3.0-cp313-cp313-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl 2.0 MB Apr 9, 2026	CPython 3.13	CPython 3.13	Linux glibc 2.26+ ARM64, Linux glibc 2.28+ ARM64	Details
triangulumancer-0.3.0-cp313-cp313-macosx_14_0_arm64.whl 1.5 MB Apr 9, 2026	CPython 3.13	CPython 3.13	macOS 14.0+ ARM64	Details
triangulumancer-0.3.0-cp312-cp312-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl 2.2 MB Apr 9, 2026	CPython 3.12	CPython 3.12	Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64	Details
triangulumancer-0.3.0-cp312-cp312-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl 2.0 MB Apr 9, 2026	CPython 3.12	CPython 3.12	Linux glibc 2.28+ ARM64, Linux glibc 2.26+ ARM64	Details
triangulumancer-0.3.0-cp312-cp312-macosx_14_0_arm64.whl 1.5 MB Apr 9, 2026	CPython 3.12	CPython 3.12	macOS 14.0+ ARM64	Details
triangulumancer-0.3.0-cp311-cp311-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl 2.2 MB Apr 9, 2026	CPython 3.11	CPython 3.11	Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64	Details
triangulumancer-0.3.0-cp311-cp311-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl 2.0 MB Apr 9, 2026	CPython 3.11	CPython 3.11	Linux glibc 2.28+ ARM64, Linux glibc 2.26+ ARM64	Details
triangulumancer-0.3.0-cp311-cp311-macosx_14_0_arm64.whl 1.5 MB Apr 9, 2026	CPython 3.11	CPython 3.11	macOS 14.0+ ARM64	Details
triangulumancer-0.3.0-cp310-cp310-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl 2.2 MB Apr 9, 2026	CPython 3.10	CPython 3.10	Linux glibc 2.28+ x86-64, Linux glibc 2.27+ x86-64	Details
triangulumancer-0.3.0-cp310-cp310-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl 2.0 MB Apr 9, 2026	CPython 3.10	CPython 3.10	Linux glibc 2.26+ ARM64, Linux glibc 2.28+ ARM64	Details
triangulumancer-0.3.0-cp310-cp310-macosx_14_0_arm64.whl 1.5 MB Apr 9, 2026	CPython 3.10	CPython 3.10	macOS 14.0+ ARM64	Details

Total release size: 34.6 MB

Release files / triangulumancer-0.3.0.tar.gz

Download URL	triangulumancer-0.3.0.tar.gz
Size	37.4 kB
Tags	Source
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Release files / triangulumancer-0.3.0-cp314-cp314t-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl

Download URL	triangulumancer-0.3.0-cp314-cp314t-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl
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Tags	CPython 3.14 CPython 3.14 free-threading Linux glibc 2.27+ x86-64 Linux glibc 2.28+ x86-64
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Publishing repository: github.com/ariostas/triangulumancer
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Download URL	triangulumancer-0.3.0-cp314-cp314t-macosx_14_0_arm64.whl
Size	1.5 MB
Tags	CPython 3.14 CPython 3.14 free-threading macOS 14.0+ ARM64
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Uploaded via	`twine/6.1.0 CPython/3.13.12`

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Publishing platform: GitHub Actions
Publishing repository: github.com/ariostas/triangulumancer
Publishing commit: github.com/ariostas/triangulumancer/tree/17591372911503a0ad0d5b1e1f72632fa7881d9d

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Release files / triangulumancer-0.3.0-cp314-cp314-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl

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Size	2.2 MB
Tags	CPython 3.14 Linux glibc 2.27+ x86-64 Linux glibc 2.28+ x86-64
SHA-256 checksum How to use checksums	`75802cbc3ae365e559a55ef2ebec2f4bf70538e74772a3011e802c34ae4ea548`
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Uploaded via	`twine/6.1.0 CPython/3.13.12`

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Publishing repository: github.com/ariostas/triangulumancer
Publishing commit: github.com/ariostas/triangulumancer/tree/17591372911503a0ad0d5b1e1f72632fa7881d9d

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Size	2.0 MB
Tags	CPython 3.14 Linux glibc 2.26+ ARM64 Linux glibc 2.28+ ARM64
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Publishing repository: github.com/ariostas/triangulumancer
Publishing commit: github.com/ariostas/triangulumancer/tree/17591372911503a0ad0d5b1e1f72632fa7881d9d

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Size	1.5 MB
Tags	CPython 3.14 macOS 14.0+ ARM64
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Publishing repository: github.com/ariostas/triangulumancer
Publishing commit: github.com/ariostas/triangulumancer/tree/17591372911503a0ad0d5b1e1f72632fa7881d9d

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Release files / triangulumancer-0.3.0-cp313-cp313-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl

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Size	2.2 MB
Tags	CPython 3.13 Linux glibc 2.27+ x86-64 Linux glibc 2.28+ x86-64
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Publishing repository: github.com/ariostas/triangulumancer
Publishing commit: github.com/ariostas/triangulumancer/tree/17591372911503a0ad0d5b1e1f72632fa7881d9d

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Release files / triangulumancer-0.3.0-cp313-cp313-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl

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Size	2.0 MB
Tags	CPython 3.13 Linux glibc 2.26+ ARM64 Linux glibc 2.28+ ARM64
SHA-256 checksum How to use checksums	`8c758ff94070cc36f7b8018aee1d541aa4639789b1feb2644a4d5834d0352738`
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Publishing repository: github.com/ariostas/triangulumancer
Publishing commit: github.com/ariostas/triangulumancer/tree/17591372911503a0ad0d5b1e1f72632fa7881d9d

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Release files / triangulumancer-0.3.0-cp313-cp313-macosx_14_0_arm64.whl

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Size	1.5 MB
Tags	CPython 3.13 macOS 14.0+ ARM64
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Publishing repository: github.com/ariostas/triangulumancer
Publishing commit: github.com/ariostas/triangulumancer/tree/17591372911503a0ad0d5b1e1f72632fa7881d9d

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Publishing repository: github.com/ariostas/triangulumancer
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Release files / triangulumancer-0.3.0-cp310-cp310-macosx_14_0_arm64.whl

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Publishing repository: github.com/ariostas/triangulumancer
Publishing commit: github.com/ariostas/triangulumancer/tree/17591372911503a0ad0d5b1e1f72632fa7881d9d

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Release history Release notifications | RSS feed

This release

0.3.0 This release

Apr 9, 2026 19 release files

0.2.0

Feb 8, 2026 19 release files

0.1.2

Jul 31, 2025 36 release files

0.1.1

Jul 18, 2025 25 release files

0.1.0

Jun 22, 2025 16 release files

triangulumancer 0.3.0

Triangulumancer

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