DOI: 10.48546/workflowhub.datafile.15.1
title: kececisquares

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


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.
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/
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 &lt; 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 &gt; 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 &lt;= square_size &lt;= 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 &gt; 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 &lt;= start_row_0idx &lt;= 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.")