kececisquares 0.1.2

Keçeci Binomial Squares (Keçeci Binom Kareleri): The Keçeci Binomial Square is a series of binomial coefficients forming a square region within Khayyam (مثلث خیام), Pascal, Binomial Triangle, selected from a specified starting row with defined size and alignment.

Keçeci Binomial Squares (Keçeci Binom Kareleri): Keçeci's Arithmetical Square (Keçeci Aritmetik Karesi, Keçeci'nin Aritmetik Karesi)

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PyPI
Conda
DOI
License: MIT

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Description / Açıklama

Keçeci Binomial Squares (Keçeci Binom Kareleri): Keçeci's Arithmetical Square (Keçeci Aritmetik Karesi, Keçeci'nin Aritmetik Karesi):

Keçeci Binomial Squares (Keçeci Binom Kareleri): The Keçeci Binomial Square is a series of binomial coefficients forming a square region within Khayyam (مثلث خیام), Pascal, Binomial Triangle, selected from a specified starting row with defined size and alignment.

Keçeci Binom Karesi, Hayyam (مثلث خیام), Pascal, Binomial üçgeni içinde belirli bir başlangıç satırından itibaren, seçili boyut ve hizalamada bir kare oluşturan binom katsayıları serisidir.

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Installation / Kurulum

conda install bilgi::kececisquares -y

pip install kececisquares

https://anaconda.org/bilgi/kececisquares

https://pypi.org/project/kececisquares/

https://github.com/WhiteSymmetry/kececisquares

https://zenodo.org/records/15411671

https://zenodo.org/records/

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Usage / Kullanım

Example

import matplotlib.pyplot as plt
import kececisquares as ks
import math # For math.ceil


# Cell 2: Function to get user input (optional, you can hardcode for simplicity)
def get_user_parameters():
    """Gets parameters from the user."""
    print("--- Configure Binomial Triangle Visualization ---")
    try:
        num_rows = int(input("Enter number of rows for Pascal's/Binomial Triangle (e.g., 7, min: 1): "))
        if num_rows < 1:
            print("Error: Number of rows must be at least 1.")
            return None

        practical_max_square_size = math.ceil(num_rows / 2) if num_rows > 1 else 1
        square_size_prompt = (f"Enter square size (1-{num_rows}, e.g., 3, "
                              f"practical max for centered: {practical_max_square_size}): ")
        square_size = int(input(square_size_prompt))
        if not (1 <= square_size <= num_rows):
            print(f"Error: Square size must be between 1 and {num_rows}.")
            return None

        min_start_row_0idx = max(0, square_size - 1)
        max_start_row_0idx = num_rows - square_size
        if min_start_row_0idx > max_start_row_0idx:
            print(f"A {square_size}x{square_size} square cannot be formed in a triangle of {num_rows} rows.")
            return None

        start_row_prompt = (f"Enter starting row for the square "
                            f"(1-indexed, between {min_start_row_0idx + 1} and {max_start_row_0idx + 1}, "
                            f"e.g., {min_start_row_0idx + 1}): ")
        start_row_user = int(input(start_row_prompt))
        start_row_0idx = start_row_user - 1
        if not (min_start_row_0idx <= start_row_0idx <= max_start_row_0idx):
            print(f"Error: Starting row (1-indexed) must be between {min_start_row_0idx + 1} and {max_start_row_0idx + 1}.")
            return None

        shape_prompt = "Shape type (1: hexagon, 2: square, 3: circle, 4: triangle; default: 1-hexagon): "
        shape_choice = input(shape_prompt).strip()
        shape_map = {"1": "hexagon", "2": "square", "3": "circle", "4": "triangle"}
        shape_type = "hexagon"
        if shape_choice == "": print("Defaulting to 'hexagon' (1).")
        elif shape_choice in shape_map: shape_type = shape_map[shape_choice]
        else: print(f"Invalid shape type. Defaulting to 'hexagon' (1).")

        align_prompt = "Square alignment (1: Left, 2: Right, 3: Centered; default: 1-Left): "
        align_choice = input(align_prompt).strip()
        align_map = {"1": "left", "2": "right", "3": "center"}
        alignment = "left"
        if align_choice == "": print("Defaulting to 'Left-Aligned' (1).")
        elif align_choice in align_map: alignment = align_map[align_choice]
        else: print(f"Invalid alignment. Defaulting to 'Left-Aligned' (1).")

        fill_prompt = "Fill the square? (1: Yes, 2: No; default: 1-Yes): "
        fill_choice = input(fill_prompt).strip()
        is_filled = True
        if fill_choice == "1": pass
        elif fill_choice == "2": is_filled = False
        elif fill_choice == "": print("Defaulting to 'Yes' (1).")
        else: print(f"Invalid fill choice. Defaulting to 'Yes' (1).")

        show_val_prompt = "Show numbers inside shapes? (1: Yes, 2: No; default: 1-Yes): "
        show_val_choice = input(show_val_prompt).strip()
        show_numbers = True # Varsayılan
        if show_val_choice == "1": pass
        elif show_val_choice == "2": show_numbers = False
        elif show_val_choice == "": print("Defaulting to show numbers (1).")
        else: print(f"Invalid choice for showing numbers. Defaulting to show numbers (1).")
        
        return {
            "num_rows": num_rows,
            "square_size": square_size,
            "start_row_0idx": start_row_0idx,
            "shape_type": shape_type,
            "alignment": alignment,
            "is_filled": is_filled,
            "show_numbers": show_numbers, # Yeni parametreyi sözlüğe ekle
        }
    except ValueError:
        print("Error: Invalid numerical input.")
        return None
    except Exception as e:
        print(f"An unexpected error occurred during input: {e}")
        return None

# Cell 3: Get parameters and run the visualization
params = get_user_parameters()

if params:
    print("\n--- Generating Plot ---")
    # Call the drawing function from the module
    # Pass show_plot=False if you want to manage plt.show() or save the figure later
    # We let the module handle plt.show() by default for simplicity here.
    fig, ax = ks.draw_kececi_binomial_square(
        num_rows_to_draw=params["num_rows"],
        square_region_size=params["square_size"],
        start_row_index_for_square_0based=params["start_row_0idx"],
        shape_to_draw=params["shape_type"],
        square_alignment=params["alignment"],
        is_square_filled=params["is_filled"],
        show_plot=True, # Let the function call plt.show()
        show_values=params.get("show_numbers", True) # Yeni parametre, varsayılan True
    )

    if fig:
        print("Plot generated successfully.")
        # You can do more with fig and ax here if needed, e.g., fig.savefig("triangle.png")
    else:
        print("Plot generation failed.")
else:
    print("Could not proceed due to invalid parameters.")

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License / Lisans

This project is licensed under the MIT License. See the LICENSE file for details.

Citation

If this library was useful to you in your research, please cite us. Following the GitHub citation standards, here is the recommended citation.

BibTeX

@misc{kececi_2025_15411670,
  author       = {Keçeci, Mehmet},
  title        = {kececisquares},
  month        = may,
  year         = 2025,
  publisher    = {GitHub, PyPI, Anaconda, Zenodo},
  version      = {0.1.0},
  doi          = {10.5281/zenodo.15411670},
  url          = {https://doi.org/10.5281/zenodo.15411670},
}

@misc{kececi_2025_15425855,
  author       = {Keçeci, Mehmet},
  title        = {The Keçeci Binomial Square: A Reinterpretation of
                   the Standard Binomial Expansion and Its Potential
                   Applications
                  },
  month        = may,
  year         = 2025,
  publisher    = {Zenodo},
  doi          = {10.5281/zenodo.15425855},
  url          = {https://doi.org/10.5281/zenodo.15425855},
}

APA

Keçeci, M. (2025). kececisquares [Data set]. WorkflowHub. https://doi.org/10.48546/workflowhub.datafile.15.1

Keçeci, M. (2025). Keçeci's Arithmetical Square. Authorea. June, 2025. https://doi.org/10.22541/au.175070836.63624913/v1

Keçeci, M. (2025). kececisquares. Zenodo. https://doi.org/10.5281/zenodo.15411670

Keçeci, M. (2025). The Keçeci Binomial Square: A Reinterpretation of the Standard Binomial Expansion and Its Potential Applications. https://doi.org/10.5281/zenodo.15425855

Chicago

Keçeci, Mehmet. kececisquares [Data set]. WorkflowHub, 2025. https://doi.org/10.48546/workflowhub.datafile.15.1

Keçeci, Mehmet. "Keçeci's Arithmetical Square". Authorea. June, 2025. https://doi.org/10.22541/au.175070836.63624913/v1

Keçeci, Mehmet. "kececisquares". Zenodo, 01 May 2025. https://doi.org/10.5281/zenodo.15411670

Keçeci, Mehmet. "The Keçeci Binomial Square: A Reinterpretation of the Standard Binomial Expansion and Its Potential Applications", 15 Mayıs 2025. https://doi.org/10.5281/zenodo.15425855