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logternary

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Log-ternary plots for fold-change visualization between three conditions.

A log-ternary plot maps positive triples (a, b, c) — where only ratios carry meaning — to ℝ² via a symmetric isometric log-ratio transform. The resulting plot has three axes at 120° separation, each representing fold-changes in one condition relative to the geometric mean of the other two.

Installation

pip install logternary

Quick start

import matplotlib.pyplot as plt
import logternary  # registers the 'logternary' projection

fig, ax = plt.subplots(
    subplot_kw={'projection': 'logternary', 'base': 2, 'max_level': 3,
                'labels': ('Wild type', 'Knockout', 'Rescue')}
)
ax.scatter(a, b, c, color='steelblue', s=12)
plt.show()

The three-argument forms ax.scatter(a, b, c), ax.plot(a, b, c), and ax.annotate('label', a, b, c) are automatically transformed to log-ternary coordinates. Two-argument calls fall through to standard matplotlib behaviour.

Examples

Key properties

Mirrored points, collinear trajectories, and fold-change transformations:

Key properties

Transcriptome data

Simulated gene expression data across three conditions, with differentially expressed genes highlighted:

Transcriptome

Exchange rate trajectories

Monthly exchange rate trajectories visualized as a path through log-ternary space:

Exchange rates

Configuration

All parameters are passed via subplot_kw:

Parameter Default Description
base 2 Logarithm base (2, 10, e)
max_level 3 Grid levels per axis (base=2, level=3 → 1/8–8×)
labels ('a', 'b', 'c') Axis labels
tick_format 'fold' 'fold' (2×), 'log' (1), or callable

Grid visibility: ax.grid(True) / ax.grid(False)

Development

git clone https://github.com/gatoniel/logternary
cd logternary
uv sync --dev
uv run pre-commit install
uv run pytest

License

MIT

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