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Reverse Collatz

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MMTR
Last edited Feb 1, 2025
Created on Feb 1, 2025

This visualization animates the reverse Collatz conjecture, building a radial tree that shows which numbers lead to a given value through the inverse of the rule (odd numbers become 3n+1, evens are halved). Starting from 1, each level adds the possible predecessors, revealing the branching structure of the conjecture. The code uses `d3.layout` from D3 v5 to compute the hierarchical layout, with SVG circles and text labels rendered in a radial arrangement. An interactive slider and play button control the depth of the tree, with smooth transitions via D3's `transition()` API as new levels unfold.

AI-generated description

A blank slate starting point showing the "Hello World" for the VizHub V3 Runtime Environment, which supports continuous hot reloading with interactive widgets.

Full course playlist: YouTube: Constructing Visualization 2024.

VizHub Version 3: A New Era in Interactive Coding

The release of VizHub version 3 marks a significant milestone in the evolution of data visualization tools. This new version introduces a unique feature set designed to enhance the coding experience and make data visualization more interactive and intuitive.

Interactive Widgets: A Leap Forward in Real-Time Feedback

One of the standout features of VizHub version 3 is its support for interactive widgets, which enable continuous hot reloading. This means that developers can see the effects of their code changes in real-time, without the need for manual refreshes. By simply holding down the 'Alt' key and dragging a number in the editor, properties like font size can be adjusted on the fly, providing immediate visual feedback.

Simplifying the Entry Point: The Main Function

In a departure from traditional setups, VizHub version 3 does away with the need for an index.html file. Instead, the entry point is a main function exported from index.js. This function takes two arguments:

  • container: A DIV element that has measurable dimensions using clientWidth and clientHeight.
  • options: An object containing state and setState, where:
    • state is initialized as an empty object {} and stores the application's state.
    • setState is a function that can be called with a function to create a new state object using immutable update patterns.

This streamlined approach is designed to simplify the setup process and focus more on the creative aspects of coding.

A Blank Slate Starting Point: "Hello World" for VizHub V3

The "Hello World" example in VizHub version 3 serves as a blank slate starting point, showcasing the capabilities of the new runtime environment. This example demonstrates the simplicity and power of the VizHub V3 Runtime Environment, providing a foundation for developers to build upon.

Learning Through Interaction: The Mouse Follower Example

For an interactive example of the capabilities of VizHub version 3, the Mouse Follower demonstration provides a hands-on experience. This example illustrates how developers can create dynamic visualizations that respond to user input, further highlighting the platform's emphasis on interactivity and real-time feedback.

A Humble Yet Powerful Tool

VizHub version 3 represents a humble yet powerful step forward in the world of interactive coding and data visualization. Its focus on real-time feedback, simplified entry points, and interactive examples aims to enhance the coding experience and make learning more accessible. While there is still much to explore and improve, this new version is a testament to the ongoing efforts to make data visualization more dynamic and engaging.

MIT Licensed

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