Numerical Physics PRO Hack 1.32 + Redeem Codes
The original physics simulator
Developer: Kirk Kaminsky
Category: Education
Price: $5.99 (Download for free)
Version: 1.32
ID: com.kirkkaminsky.NumericalPhysicsPro
Screenshots
Description
Introducing everybody's favorite physics simulator, Numerical Physics PRO ...
... the world's most powerful and intuitive touch-based physics simulator.
Numerical Physics (Pro) is a touch-based, explicitly numerical, real-time, *point-particle* simulator of Newtonian mechanics in two dimensions for iOS and Mac devices, built around a custom physics engine. It can model, animate and numerically solve with high accuracy a wide class of high school and University mechanics problems you set up yourself using its direct, intuitive touch interface and its open-world 'sandbox' design.
Written by a physicist and educator, designed for educators and students of physics.
Its main main features include the ability to:
· generate dynamically: free-body diagrams, trajectories, and graphs of physical quantities as the system evolves;
· apply a set of standard 'explicit forces' (gravity, drag, spring restoring, inverse square forces);
· constrain bodies to inclines (with or without realistic friction);
· connect bodies to each other via springs, inverse square law forces, direct tension force constraints, or indirectly through pulley fixed points;
· kinematically constrain (i.e. pre-determine) a body’s motion;
· cause unconstrained and certain singly-constrained bodies to participate in collisions with each other or with a constraint surface, with a user-specified coefficient of restitution, and determine scattering angles and speeds.
Written from the ground up Numerical Physics' features include:
· a complete, future-extensible tutorial system: learn physics as you how to use the app; includes four built-in tutorials of increasing complexity that fully explore all of the apps features;
· a ‘labeled free-body diagram’ view: see, edit, graph and delete your forces right from the FBD;
· a UI that gets out of your way and maximizes screen real estate while keeping all features no more than two steps away;
· a custom high accuracy, high performance physics engine;
· all in-app bundle examples; no internet connection required;
· universal app design: a single app runs on iPhones of all screen sizes and iPads and now the Mac with a resizeable main window and menu support;
Numerical Physics can easily model complex systems numerically that cannot be analytically solved with its choice of five different numerical integrators, time-step, frame rate, and simulation rate control.
Numerical Physics Pro includes the following advanced features:
· Advanced Graphing and Data Export: create property vs property, multi-body, and multiple graphs, and export numerical data to apps like spreadsheets;
· Custom Forces and Constraint Curves: create essentially arbitrary position, velocity or time dependent external and interbody forces, and create user-defined ‘non-straight’ constraint curves and surfaces;
· Halter-Solver: specify a 'halting condition' on any physical property of a body that can be graphed: this means that 'Numerical Physics' can be used to numerically solve a wide range of problems commonly encountered in high school through second year University mechanics.
· Multibody and Tension Constraint Solver: create an arbitrary number of bodies (>2), and subject them to as many constraints as is physically consistent. Use it to create powerful simulations of Lagrangian mechanics constrained problems.
... the world's most powerful and intuitive touch-based physics simulator.
Numerical Physics (Pro) is a touch-based, explicitly numerical, real-time, *point-particle* simulator of Newtonian mechanics in two dimensions for iOS and Mac devices, built around a custom physics engine. It can model, animate and numerically solve with high accuracy a wide class of high school and University mechanics problems you set up yourself using its direct, intuitive touch interface and its open-world 'sandbox' design.
Written by a physicist and educator, designed for educators and students of physics.
Its main main features include the ability to:
· generate dynamically: free-body diagrams, trajectories, and graphs of physical quantities as the system evolves;
· apply a set of standard 'explicit forces' (gravity, drag, spring restoring, inverse square forces);
· constrain bodies to inclines (with or without realistic friction);
· connect bodies to each other via springs, inverse square law forces, direct tension force constraints, or indirectly through pulley fixed points;
· kinematically constrain (i.e. pre-determine) a body’s motion;
· cause unconstrained and certain singly-constrained bodies to participate in collisions with each other or with a constraint surface, with a user-specified coefficient of restitution, and determine scattering angles and speeds.
Written from the ground up Numerical Physics' features include:
· a complete, future-extensible tutorial system: learn physics as you how to use the app; includes four built-in tutorials of increasing complexity that fully explore all of the apps features;
· a ‘labeled free-body diagram’ view: see, edit, graph and delete your forces right from the FBD;
· a UI that gets out of your way and maximizes screen real estate while keeping all features no more than two steps away;
· a custom high accuracy, high performance physics engine;
· all in-app bundle examples; no internet connection required;
· universal app design: a single app runs on iPhones of all screen sizes and iPads and now the Mac with a resizeable main window and menu support;
Numerical Physics can easily model complex systems numerically that cannot be analytically solved with its choice of five different numerical integrators, time-step, frame rate, and simulation rate control.
Numerical Physics Pro includes the following advanced features:
· Advanced Graphing and Data Export: create property vs property, multi-body, and multiple graphs, and export numerical data to apps like spreadsheets;
· Custom Forces and Constraint Curves: create essentially arbitrary position, velocity or time dependent external and interbody forces, and create user-defined ‘non-straight’ constraint curves and surfaces;
· Halter-Solver: specify a 'halting condition' on any physical property of a body that can be graphed: this means that 'Numerical Physics' can be used to numerically solve a wide range of problems commonly encountered in high school through second year University mechanics.
· Multibody and Tension Constraint Solver: create an arbitrary number of bodies (>2), and subject them to as many constraints as is physically consistent. Use it to create powerful simulations of Lagrangian mechanics constrained problems.
Version history
1.32
2021-11-15
• bugfixes and optimization for iPad Pros (e.g. 120 Hz rendering support, graphs in landscape mode)
• persistent layer Metal rendering rewritten and optimized [rendered off-screen instead of to a separate layer to eliminate idiosyncratic (micro)stuttering; any possible lingering random (micro)stuttering issues would now be confined to simulations with graphs due to their reduced frame rate updates.]
• legacy OpenGL renderer dropped (base iOS version is only supported by iOS/iPad OS devices that support Metal) and code refactored
• internal code refactoring around screen sizing, orientations, and graphing 'windows'
• persistent layer Metal rendering rewritten and optimized [rendered off-screen instead of to a separate layer to eliminate idiosyncratic (micro)stuttering; any possible lingering random (micro)stuttering issues would now be confined to simulations with graphs due to their reduced frame rate updates.]
• legacy OpenGL renderer dropped (base iOS version is only supported by iOS/iPad OS devices that support Metal) and code refactored
• internal code refactoring around screen sizing, orientations, and graphing 'windows'
1.31
2021-08-26
• Updated for iOS 14, with iOS 12.0+ minimum system base
• extensive Metal graphics engine rewrites and optimizations (e.g. uses far less memory)
• all examples have been moved to a local in-app database (no internet access needed to access built-in examples)
• as a result the app does not use the internet at all (not even for version checks), except if you wish to email examples.
• five new examples added
• various bugfixes and quality of life improvements
• Mac Catalyst ready
• extensive Metal graphics engine rewrites and optimizations (e.g. uses far less memory)
• all examples have been moved to a local in-app database (no internet access needed to access built-in examples)
• as a result the app does not use the internet at all (not even for version checks), except if you wish to email examples.
• five new examples added
• various bugfixes and quality of life improvements
• Mac Catalyst ready
1.3
2020-07-19
• All new Metal based graphics engine (yielding ~300% increase in graphics performance over OpenGL tested on A8X, A10 and A12) -- however, you can still choose between Metal and OpenGL rendering for legacy compatibility! Swap renderers, enable/disable antialiasing on the fly.
• On iPads, major new landscape graphing feature (in either a dedicated tray like in portrait mode, or as a new overlay mode)... visualize up to six graphs at a time (used for remote lecture demo recording right on the iPad).
• bug-fixes and small quality of life improvements (e.g. graphing improvements, physics engine tweaks)
• updated for iOS 13.
(Note: if you encounter the occasional micro-stuttering with either graphics engine, please let me know the circumstances. If the rendering is not perfectly smooth at 60 fps, rewinding the simulation and re-evolving usually solves it.)
• On iPads, major new landscape graphing feature (in either a dedicated tray like in portrait mode, or as a new overlay mode)... visualize up to six graphs at a time (used for remote lecture demo recording right on the iPad).
• bug-fixes and small quality of life improvements (e.g. graphing improvements, physics engine tweaks)
• updated for iOS 13.
(Note: if you encounter the occasional micro-stuttering with either graphics engine, please let me know the circumstances. If the rendering is not perfectly smooth at 60 fps, rewinding the simulation and re-evolving usually solves it.)
1.2
2019-09-24
• Updated for iOS 12 and recent notchy devices at the request of Apple.
• Assorted minor bugfixes.
• Assorted minor bugfixes.
1.01
2016-08-05
- bugfixes and memory leak patching/retain cycle removal (Please report crashes to me.)
- default to modify body switched to single-tap
- tutorial fixes
- delete OR modify (new) the location of a fixed point/pulley by double tapping on it
- default to modify body switched to single-tap
- tutorial fixes
- delete OR modify (new) the location of a fixed point/pulley by double tapping on it
1.0
2016-04-29
Ways to hack Numerical Physics PRO
- Redeem codes (Get the Redeem codes)
Download hacked APK
Download Numerical Physics PRO MOD APK
Request a Hack
Ratings
5 out of 5
3 Ratings
Reviews
ryanzurrin,
Super app, exactly what I was looking for in a physics simulator
I was a bit nervous at first, I do not usually like to spend so much money on something with so little reviews, but this app is a true gem. It’s packed full of features and really does allow you to build classic physics simulations from the ground up. If you are a physics student like me, then I highly recommend this. It has some great tutorials built in that help you learn how to use everything, which are really amazingly well done and easy to follow.
