Collatz Sequences

Collatz sequence connectivity

using CollatzConjecture
test_sequences, shared_vertices = test_collatz_connectivity(10)
test_sequences
shared_vertices

Dict{Int64, Vector{Int64}} with 22 entries:
  5  => [3, 5, 6, 7, 9, 10]
  16 => [3, 5, 6, 7, 9, 10]
  20 => [7, 9]
  52 => [7, 9]
  28 => [9]
  8  => [3, 5, 6, 7, 8, 9, 10]
  17 => [7, 9]
  1  => [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
  22 => [7, 9]
  6  => [6]
  11 => [7, 9]
  9  => [9]
  14 => [9]
  3  => [3, 6]
  7  => [7, 9]
  40 => [7, 9]
  34 => [7, 9]
  4  => [3, 4, 5, 6, 7, 8, 9, 10]
  13 => [7, 9]
  ⋮  => ⋮

Stopping time

using CollatzConjecture
plot_stopping_times_scatter(5000)

Fancy representation

using CollatzConjecture
using CairoMakie

CairoMakie.activate!()

# Create and display the visualization
fig = create_collatz_visualization(n=5000, print_numbers=true)
fig

Twig like representation

using CollatzConjecture
using CairoMakie

CairoMakie.activate!()
figX = collatz_graph_highlight_one(1000, vertex_size=10, highlight_size=20, label_fontsize=10)
figX[1]

Statistics

Distribution of the stopping time

using CollatzConjecture
    plot_stopping_times_histogram(100000)