SIGGRAPH 2020 Technical Paper: n-Dimensional Rigid Body Dynamics [mtbdesignworks {Miegakure, 4D Toys}] 2020-12-30 | I gave this talk at the SIGGRAPH 2020 conference about research developed for 4D Toys and Miegakure. SIGGRAPH is the premiere international conference on computer graphics and interactive techniques. Link to the paper: http://marctenbosch.com/ndphysicsIt's very exciting for work from a game (and a first for an indie game) to be presented in the SIGGRAPH Technical Papers program! Thank you all for your patience during development of the game, as you can see it can get pretty involved, ahah! ⦿ Support us on Patreon: patreon.com/marctenbosch⦿ Buy 4D Toys on iOS: http://4dtoys.com/ios ⦿ Buy 4D Toys on Steam: http://4dtoys.com/steam ⦿ Wishlist Miegakure on Steam: store.steampowered.com/app/355750/Miegakure⦿ Mailing list: marctenbosch.com/mailing-lists⦿ Twitter: twitter.com/MiegakureGame⦿ Blog: marctenbosch.com/news00:00 Introduction01:15 Contributions01:49 4D Toys Trailer06:57 Background: Geometric Algebra07:34 Background: Rigid Body Motion07:49 Background: Angular Momentum07:59 Background: Bivectors08:55 Background: Rotors10:05 Background: Instantaneous Velocity10:25 Background: Angular Momentum10:48 Background: Euler's Equation10:59 n-Dimensional Generalization: Geometric Algebra Operator Matrices11:48 n-Dimensional Generalization: Inertia Tensor12:08 n-Dimensional Generalization: Operators and Inertia Tensor12:39 n-Dimensional Generalization: Correcting Rotor Errors13:18 Inertia Tensor of arbitrary nD mesh13:34 Inertia Tensor of arbitrary nD mesh: Inertia Tensor is Linear13:46 Inertia Tensor of arbitrary nD mesh: Compute Covariance Matrix14:05 Inertia Tensor of arbitrary nD mesh: Transform Covariance into Inertia14:30 Inertia Tensor of arbitrary nD mesh: Transforming Inertia Tensor14:55 Inertia Tensor of arbitrary nD mesh: Diagonalizing Inertia Tensor15:17 Collision Resolution / Detection15:32 Collision Resolution / Detection: Hypersphere / Polytope16:14 Collision Resolution / Detection: Polytope / Polytope17:03 Dzhanibekov Effect: 3D Dzhanibekov Effect17:27 Dzhanibekov Effect: 4D Dzhanibekov Effect17:54 Dzhanibekov Effect: Reduces to 3D case18:12 Dzhanibekov Effect: Stable states18:30 Dzhanibekov Effect: Additional Oscillations18:44 Future Work
4D Toys Update: Rotating the 3D Slice, Face Projections, Marble scenes + Every new feature [mtbdesignworks {Miegakure, 4D Toys}] 2023-03-13 | I had never made videos for all the 4D Toys updates I did, so this is a summary, including all the new stuff from the newest Mega-Update ®™, which focuses on features that were most requested.Buy 4D Toys: 4dtoys.comPatreon: patreon.com/marctenboschTwitter: twitter.com/mtbdesignworksMailing List: marctenbosch.com/mailing-listsBlog: marctenbosch.com/newsWishlist Miegakure: store.steampowered.com/app/355750/Miegakure0:00 Intro0:53 Star Polychora0:26 Gyrochora0:48 Export for 3D Printing0:51 Anti-Gravity1:03 Line Projections1:23 Face Projections1:40 Wireframe "Davinci" Shapes2:01 Klein Bottles2:16 120 Cell and Sphere2:20 Constant Torque2:34 Double Rotations2:47 Marble Scenes3:17 Auto-Follow3:28 Rotating the 3D Slice in 4D4:46 Outro5:05 PatreonThank you so much to Super Supporters: Michael Donnelly, Ty Spicer, Kelsair, rice22
What does the 4D Klein Bottle look like ? [4D Toys] [mtbdesignworks {Miegakure, 4D Toys}] 2021-12-14 | The Klein bottle is a shape that people often say is related to 4D space, but how is it related?⦿ Support on Patreon: patreon.com/marctenbosch⦿ 4D Toys Video: http://youtu.be/0t4aKJuKP0Q⦿ 4D Toys for iOS: http://4dtoys.com/ios ⦿ 4D Toys for Steam: http://4dtoys.com/steam (VR and/or Mouse + Keyboard)⦿ Blog Post about this Update: marctenbosch.com/news/2021/12/4d-toys-version-1-7-klein-bottles⦿ Miegakure Steam Wishlist: store.steampowered.com/app/355750/Miegakure⦿ Mailing list: marctenbosch.com/mailing-lists⦿ Twitter: twitter.com/MiegakureGame⦿ Blog: marctenbosch.com/news
4D Toys: a box of four-dimensional toys, and how objects bounce and roll in 4D [mtbdesignworks {Miegakure, 4D Toys}] 2017-06-02 | Showing 4D Toys and an explanation of how 4D objects would look like and bounce around from the perspective of a 3D being. ⦿ Support us on Patreon: patreon.com/marctenbosch⦿ Buy 4D Toys on iOS: http://4dtoys.com/ios ⦿ Buy 4D Toys on Steam: http://4dtoys.com/steam (VR and/or Mouse + Keyboard)⦿ Wishlist Miegakure on Steam: store.steampowered.com/app/355750/Miegakure⦿ Mailing list: marctenbosch.com/mailing-lists⦿ Twitter: twitter.com/MiegakureGame⦿ Blog: marctenbosch.com/newshttp://4dtoys.com
A Grove scattered with 4D Spherinders [Miegakure: a 4D game] [mtbdesignworks {Miegakure, 4D Toys}] 2016-11-10 | A walk among the Spherinders (a type of 4D Cylinder) and some of the other 4D objects in the world of the game Miegakure.More details: http://marctenbosch.com/news/2016/11/spherinder-grove-videoOld tales say that deep within the Ancient's Grove one can sometimes find scattered stone pillars, remnants of the old gods and those who worshiped them. Some people even claim they have seen stones levitate above the ground, held in place by a strange power.But it is not quite as it seems...⦿ Support us on Patreon: patreon.com/marctenbosch⦿ Wishlist Miegakure on Steam: store.steampowered.com/app/355750/Miegakure⦿ Buy 4D Toys on iOS: http://4dtoys.com/ios ⦿ Buy 4D Toys on Steam: http://4dtoys.com/steam ⦿ Mailing list: marctenbosch.com/mailing-lists⦿ Blog: marctenbosch.com/news⦿ Twitter: twitter.com/MiegakureGame
Designing a 4D World: The Technology behind Miegakure [Hide&Reveal] [mtbdesignworks {Miegakure, 4D Toys}] 2016-03-08 | We build our 4D world using Tetrahedral (instead of Triangular) Meshes, and show 4D Crystals as an example.See also: How to walk through walls using the 4th Dimension: youtube.com/watch?v=9yW--eQaA2IStay tuned for the next video, which will show more gameplay! We also will make more videos explaining the fourth dimension using the game. Subscribe to the channel if you are interested.Image Formation by Lenses from College Physics. Download for free at http://cnx.org⦿ Support us on Patreon: patreon.com/marctenbosch⦿ Wishlist Miegakure on Steam: store.steampowered.com/app/355750/Miegakure⦿ Buy 4D Toys on iOS: http://4dtoys.com/ios ⦿ Buy 4D Toys on Steam: http://4dtoys.com/steam ⦿ Mailing list: marctenbosch.com/mailing-lists⦿ Blog: marctenbosch.com/news⦿ Twitter: twitter.com/MiegakureGame
How to walk through walls using the 4th Dimension [Miegakure: a 4D game] [mtbdesignworks {Miegakure, 4D Toys}] 2014-08-27 | An explanation of how walking through walls would actually look like if you could move in 4D, using the 4D video-game Miegakure (http://miegakure.com)For more details, see this blog post: http://marctenbosch.com/news/2014/08/new-trailer-how-to-walk-through-walls-using-the-fourth-dimension* We will make more videos explaining the fourth dimension using the game. Subscribe to the channel if you are interested!* In this game the fourth dimension is not time, it is a fourth dimension of space. So if you count time the game is a 5D game. It is a correct representation of a fourth spatial dimension.* Yeah it's actually "around" walls, not "through!"* There are *infinitely* many 3D worlds stacked on top of each other, even if in the introductory Wall Level the ground texture makes it seem like there are only two. A more complex example is the shape at the beginning of the trailer, which is a true 4D shape called the 120 Cell, as explained here: http://marctenbosch.com/news/2014/04/what-is-that-shape-at-the-end-of-the-trailer-hd-screenshot* From the perspective of a regular 3D observer standing next to the wall the player character would suddenly disappear, and a few moments later reappear on the other side of the wall.* See also: Flatland (en.wikipedia.org/wiki/Flatland)⦿ Support us on Patreon: patreon.com/marctenbosch⦿ Wishlist Miegakure on Steam: store.steampowered.com/app/355750/Miegakure⦿ Buy 4D Toys on iOS: http://4dtoys.com/ios ⦿ Buy 4D Toys on Steam: http://4dtoys.com/steam ⦿ Mailing list: marctenbosch.com/mailing-lists⦿ Blog: marctenbosch.com/news⦿ Twitter: twitter.com/MiegakureGame
Miegakure [Hide&Reveal] a true 4D puzzle-platforming game [mtbdesignworks {Miegakure, 4D Toys}] 2014-04-11 | Miegakure is a puzzle-platforming game that lets you explore and interact with a 4D world. The fourth dimension in this game is not time, it works just like the first three: it is a mathematical generalization. You see three dimensions at a time and at the press of a button one of the dimensions is exchanged with the fourth dimension, allowing for 4D movement. Your ability to move in the fourth dimension in addition to the usual three allows you to perform miraculous feats like walk through walls, see inside closed buildings, steal objects from closed containers, make object float in mid-air, bind two separate rings without breaking them, etc...These actual consequences of the mathematical formulation of 4D space have been imagined for more than a century (in the 1884 novella Flatland [http://www.geom.uiuc.edu/~banchoff/Flatland/] for example) but it is the first time anyone can actually perform them, thanks to the video game medium.I wanted to make a game that would take place in a universe that was a 4D extension of our regular 3D universe. What if the universe actually had four dimensions, but we didn't know it? The video features some of the visuals we obtain from what is basically the most advanced simulation of what a 4D world would look like. Programming & Design by Marc ten Bosch (http://marctenbosch.com) Modeling & Animation by Jeff WeberMusic by Disasterpeace (http://disasterpeace.com) & Mateo Lugo(soundcloud.com/mateolugo)If you are wondering what the shape at the end of the trailer is: http://marctenbosch.com/news/2014/04/what-is-that-shape-at-the-end-of-the-trailer-hd-screenshot/⦿ Support us on Patreon: patreon.com/marctenbosch⦿ Wishlist Miegakure on Steam: store.steampowered.com/app/355750/Miegakure⦿ Buy 4D Toys on iOS: http://4dtoys.com/ios ⦿ Buy 4D Toys on Steam: http://4dtoys.com/steam ⦿ Mailing list: marctenbosch.com/mailing-lists⦿ Blog: marctenbosch.com/news⦿ Twitter: twitter.com/MiegakureGame
