v3.0.0a0 — Visualizing Phase Portraits and Generating Functions

What's new in v3.0.0a0?

Phase Portraits of Generalized Pronic (2D) and Centered Hypertetrahedron (4D)
Inspired by Elias Wegert (2012)

A single interface for everything: plane, space, and multidimensional.

• ComplexViz() class
• DiscreteViz() class (formerly known as FigurateViz)

Configurable plot types:

• pure_phase_portrait → phase color only
• phase_contours → phase + contour lines
• modulus_contours → phase + modulus contours
• enhanced_phase_portrait → phase + modulus and phase contours

Full appearance control:

• Resolution, figure size (figsize), number of lines, brightness
• Colormap (cmap_color) and optional axes
• Optional Poincaré mask (poincare_disk) with configurable radius
• Automatic validation of parameters (m and k) based on the chosen sequence
• Returns a matplotlib.figure.Figure object, allowing immediate display or further manipulation of the figure.

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Thank you for being a part of the FigurateNum community!
If you find the new hypertetrahedron generator helpful, feel free to give us a ⭐️ and share your thoughts with us!

v2.1.1 — Performance Optimizations and LaTeX Cheat Sheet

What’s new in v2.1.1?

5D Hyperoctahedron

• Optimized performance: The generators now include incremental optimizations for faster performance, using precomputed values alongside the reference implementation from the original book.

• Faster computations: The updated implementation reduces redundant recalculations, ensuring faster results, particularly for large k values and high-dimensional cases.

• LaTeX Cheat Sheet: A helpful LaTeX cheat sheet has been added to the repository for easy reference and quick access:
  PDF Cheat Sheet with LaTeX commands and examples.

• Errata of the book: The errata is now editable in the repository and downloadable as a PDF:
  Errata Figurate Numbers (2012).

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Thank you for being a part of the FigurateNum community!
If you find the new hypertetrahedron generator helpful, feel free to give us a ⭐️ and share your thoughts with us!

v2.1.0 — Graph Visualization for Figurate Numbers

What’s new in v2.1.0?

FigurateViz: A beauty visualization tool that allows you to plot figurate number sequences as elegant polar coordinate Gaussian plots. This addition opens up a fresh, graphical way to explore and analyze the intricate patterns of figurate numbers.

• Highly customizable with options for colors, visibility of elements, rotation, and export capabilities (SVG, PDF, PNG).
• Seamlessly integrates with any figurate number sequence, supporting both lists and tuples of integers.
• Requires optional dependencies: numpy and matplotlib (install via pip install figuratenum[figurate-viz]).

Why FigurateViz?

Visualization helps to reveal hidden symmetries and structures in mathematical sequences. With FigurateViz, you can:

• Gain deeper intuition about figurate numbers through stunning polar graphs.
• Export high-quality images for presentations, papers, or teaching.
• Interactively explore the geometry behind the numbers without leaving your Python environment.

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Thank you for being part of the FigurateNum community!
If you enjoy the new visualizations, please give us a ⭐️ and share your creations!

v2.0.4 - CheatSheet and Patch Fixes

Description

• Added cheatsheet with all available commands for quick reference.
• Imported missing centered polygonal number generators.
• Added missing k parameter in the generalized_nexus(k, start_num = 0) sequence.
• Added more specific tests for each sequence class to ensure better coverage and accuracy.

v2.0.3 - Introduce new ZooFigurateNum class

Description

• Fix problem with replacing internal anchor links with absolute GitHub URLs for PyPI compatibility
• Add cuban_prime number sequences
• Add pell number sequences

v2.0.2 - Bug Fixes in Space and Multidimensional FigurateNum Class

Description

• Fixed missing parameter handling in nexus method
• Fixed missing parameter handling in generalized_mgonal_pyramidal method
• Enforced integer type constraint in generalized_k_dimensional_hypertetrahedron method

v2.0.1 - Bug Fixes & New Figurate Number Sequences

Description:

• Bug Fixes: Fixed an issue related to hypercube numbers.
• New Sequences Added: The following new geometric sequences have been added:
  • Tesseract (tesseract)
  • Hypercube (hypercube)
  • Pentachoron (pentachoron)
  • Octachoron (octachoron)
  • Cell_5
  • Cell_8
  • Cell_16
  • Cell_24
  • Cell_120
  • Cell_600

v2.0.0 - Breaking Changes: Class Overhaul & Method Updates

BREAKING CHANGES

Class restructuring:

• Three new specialized classes have been added:
  • PlaneFigurateNum (for plane figurate numbers)
  • SpaceFigurateNum (for space figurate numbers)
  • MultidimensionalFigurateNum (for multidimensional figurate numbers)
• The main class FigurateNum serves as a general container for all sequences.
• The NumberCollector class has been introduced for performing basic operations on sequences.

Instance methods:

• All methods are now instance methods, meaning you must create an instance of the class before calling them.

Method renaming and signature changes:

• Several methods have been renamed, and the _numbers suffix has been removed from method names.
• For example:
  - Before: pentatope_numbers()
  - Now: pentatope()

v1.0.3 - Updated social image URL

What's New:

• The URL for the social image (logo) has been updated to ensure proper display on PyPI and other related services.

Note: No functionality changes have been made to the package; this update only affects the logo image URL for visual improvements on PyPI and other platforms.

v1.0.2 - Added Total Downloads to README

• Added total download count from Pepy to the README.