# The Pendulum 2.0 — Balance the inverted pendulum

> Real physics inverted pendulum simulation with extensive metrics and AI modes. (iPhone/iPad app by Brian DiZio.)

- Source: https://appshunter.io/ios/app/the-pendulum-20/id6758530419 (this page in markdown: same URL + `.md`)
- Developer: [Brian DiZio](https://appshunter.io/developer/1699291310)
- Category: Games, Education, Casual, Puzzle
- Price: Free with in-app purchases
- Rating: 2.33/5 from 6 App Store ratings · 3 written reviews indexed
- Age rating: 4+
- Requires: iOS 26.2 · 13 MB
- Languages: English
- Released: 2026-02-25
- Data updated: 2026-06-28
- Monetization: free with in-app purchases
- User reviews in markdown: https://appshunter.io/ios/app/the-pendulum-20/id6758530419/reviews.md

## What is The Pendulum 2.0?

The Pendulum is a rigorous inverted pendulum simulation built on real physics — not an approximation. Balance an unstable system using touch controls while the app tracks over 100 scientific metrics across your gameplay, health, and learning progress. 

REAL PHYSICS, REAL CHALLENGE
The simulation solves nonlinear differential equations in real time using a 4th-order Runge-Kutta integrator. Adjust mass, length, gravity, damping, spring constant, and moment of inertia to explore how parameter changes affect system dynamics. This is the same inverted pendulum problem studied in university control theory courses — now in your hands.

 7 GAME MODES
 - Free Play: No levels, no timer. Balance at your own pace.
 - Progressive: Increasing balance duration with each level.
 - Spatial: The balance zone narrows as you advance.
 - Jiggle: Random perturbations shake the pendulum with increasing intensity.  
 - Timed: Race against a countdown while maintaining balance.
 - Random: Physics parameters change unpredictably every level. 
 - Golden Mode: AI-powered adaptive difficulty shaped by your Apple Health 

 AI ASSISTANCE
 Five AI modes let you learn, compete, or observe:
 - Off: Pure player control. 
 - Helper: Gentle nudges when you're struggling.  
 - Competition: The AI actively tries to destabilize you. 
 - Tutorial: Step-by-step guided lessons with directional hints. 
 - Demo: Watch the AI balance the pendulum to study optimal control. 

 100+ SCIENTIFIC METRICS
 Track your performance across six categories:
 - Basic: Stability, efficiency, session time, push count. 
 - Advanced: Overcorrection rate, reaction time, directional bias. 
 - Scientific: Phase space coverage, energy management, Lyapunov exponent. 
 - Topological: Winding number, basin stability, periodic orbits, Betti  
 numbers. 
 - Educational: Learning curve slope, skill retention between sessions.  
 - Performance: Frame rate, computation efficiency. 

 An interactive dashboard displays charts, time-filtered metrics, and 
 health-performance correlations — all updating in real time.

 APPLE HEALTH INTEGRATION
 Connect Apple Health to discover how your resting heart rate, HRV, sleep,     
 steps, and active calories correlate with gameplay performance. Sessions are  
 logged as mindfulness minutes. Golden Mode uses this data to adapt difficulty 
 to your current physical and cognitive state.

CROSS-APP SYNERGY
 The Pendulum shares data with The Maze through a secure App Group connection. 
 Balance control patterns combine with maze-solving cognitive metrics for a  
 unified picture of motor and mental performance. 
                                                                                
BEAUTIFUL & CUSTOMIZABLE
Choose from 9 nature photography themes — Acadia, Guatemala, Joshua Tree, Sachuest, New England, and more — or play on the default golden parchment.  Toggle sound effects, haptic feedback, and control styles. Export all session data as CSV for your own analysis. 

 BUILT FOR EDUCATION & RESEARCH
 Suitable for physics coursework, nonlinear dynamics research, control theory demonstrations, cognitive science studies, and human-machine interaction experiments. Every metric is computed from first principles, not estimated.   

 10+ hand-crafted levels with infinite procedural generation beyond.

## Key features

- Real physics simulation
- 7 game modes
- 5 AI assistance modes
- 100+ scientific metrics
- Apple Health integration
- Customizable themes and controls
- CSV data export

## Pricing and in-app purchases

Base price: Free.

**One-time purchases**

| Purchase | Price | Type |
| --- | --- | --- |
| The Pendulum 2.0 | $4.99 | one-time |


## Recent user reviews (3 of 3)

All indexed reviews: https://appshunter.io/ios/app/the-pendulum-20/id6758530419/reviews.md

### 5/5 — Excelente!!!

*2026-04-07*

Está app es increíble!!! En entretenida además de que no tiene casi anuncios y además de que solo pesa 11 MB!! Me encanto esta app le doy un 10/10

### 1/5 — HORRIBLE

*2026-04-06*

The controls are horrible and the game itself is unbalanced, unplayable

### 1/5 — Do not get this

*2026-04-05*

Horrible on the ad they make it look so easy but when you play it its so bad it doesn’t balance or nothing and the controls are a bit hard to use and i keep restarting cause it doesn’t balance no matter how soft or hard i tap the buttons it doesn’t balance

## Frequently asked questions about The Pendulum 2.0

### What is The Pendulum 2.0?

The Pendulum 2.0 is a rigorous inverted pendulum simulation built on real physics. It allows users to balance an unstable system using touch controls while tracking over 100 scientific metrics.

### Does The Pendulum 2.0 have ads?

Yes, The Pendulum 2.0 contains advertisements. It is a free app with optional in-app purchases.

### What are the game modes in The Pendulum 2.0?

The Pendulum 2.0 offers seven game modes: Free Play, Progressive, Spatial, Jiggle, Timed, Random, and Golden Mode. Golden Mode uses Apple Health data to adapt difficulty.

### How does The Pendulum 2.0 use AI?

The Pendulum 2.0 features five AI modes: Off, Helper, Competition, Tutorial, and Demo. These modes offer varying levels of assistance, challenge, or demonstration of optimal control.

### What kind of scientific metrics does The Pendulum 2.0 track?

The app tracks over 100 scientific metrics across categories like Basic, Advanced, Scientific, Topological, Educational, and Performance. These include stability, reaction time, phase space coverage, and learning curve slope.

### Can I export my data from The Pendulum 2.0?

Yes, you can export all session data as a CSV file for your own analysis. This allows for in-depth examination of your performance and metrics.

### What devices is The Pendulum 2.0 compatible with?

The Pendulum 2.0 is supported on iPhone and iPad devices. It is rated for ages 4 and up.

### How often is The Pendulum 2.0 updated?

The latest version, 1.1.0, was released on March 31, 2026. The app is actively maintained, with updates typically released to improve features and fix bugs.

## Version history (last 3 releases)

### 1.1.0 — 2026-03-31

The Golden Cipher initial integration and revised ATT consent tracking for Singular and Unity.

### 1.0.1 — 2026-03-04

New app previews

### 1.0 — 2026-02-25

No release notes.

## More apps by Brian DiZio

- [The Maze by Golden Enterprises](https://appshunter.io/ios/app/the-maze-by-golden-enterprises/id6453357473)
- [The Maze by Golden Enterprises](https://appshunter.io/ios/app/the-maze-by-golden-enterprises/id6738008832)
- [The Pendulum by GES](https://appshunter.io/ios/app/the-pendulum-by-ges/id6746950625)
- [The Maze by GES](https://appshunter.io/ios/app/the-maze-by-ges/id6746970795)
- [The Maze 3.0](https://appshunter.io/ios/app/the-maze-30/id6758530326)

All apps by Brian DiZio: https://appshunter.io/developer/1699291310

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*Data collected daily from the US App Store and indexed by [AppsHunter](https://appshunter.io/). User reviews are verbatim App Store reviews. Ratings, prices and chart positions refresh continuously; this snapshot is from 2026-06-28.*