Channel Title: [mtbdesignworks {Miegakure, 4D Toys}] Channel Description: 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. Miegakure plays like a regular 3D platformer, but at the press of a button one of the dimensions is exchanged with the fourth dimension, allowing for four-dimensional movement. Your ability to move in the fourth dimensions in addition to the usual three allows you to perform miraculous feats like seeing inside closed buildings, walking through walls, stealing objects from closed containers, binding two separate rings without breaking them, etc... These actual consequences of the mathematical formulation of 4D space have been thought about for more than a century (in the 1884 novella Flatland for example) but it is the first time anyone can actually perform them, thanks to the video game medium. <video> 4D Toys: a box of four-dimensional toys, and how objects bounce and roll in 4D Description: 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: https://www.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: https://store.steampowered.com/app/355750/Miegakure ⦿ Mailing list: https://marctenbosch.com/mailing-lists ⦿ Twitter: https://twitter.com/MiegakureGame ⦿ Blog: https://marctenbosch.com/news http://4dtoys.com </video> <video> A Grove scattered with 4D Spherinders [Miegakure: a 4D game] Description: 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-video/ Old 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: https://www.patreon.com/marctenbosch ⦿ Wishlist Miegakure on Steam: https://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: https://marctenbosch.com/mailing-lists ⦿ Blog: https://marctenbosch.com/news ⦿ Twitter: https://twitter.com/MiegakureGame </video> <video> How to walk through walls using the 4th Dimension [Miegakure: a 4D game] Description: 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 (https://en.wikipedia.org/wiki/Flatland) ⦿ Support us on Patreon: https://www.patreon.com/marctenbosch ⦿ Wishlist Miegakure on Steam: https://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: https://marctenbosch.com/mailing-lists ⦿ Blog: https://marctenbosch.com/news ⦿ Twitter: https://twitter.com/MiegakureGame </video> <video> SIGGRAPH 2020 Technical Paper: n-Dimensional Rigid Body Dynamics Description: 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/ndphysics It'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: https://www.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: https://store.steampowered.com/app/355750/Miegakure ⦿ Mailing list: https://marctenbosch.com/mailing-lists ⦿ Twitter: https://twitter.com/MiegakureGame ⦿ Blog: https://marctenbosch.com/news 00:00 Introduction 01:15 Contributions 01:49 4D Toys Trailer 06:57 Background: Geometric Algebra 07:34 Background: Rigid Body Motion 07:49 Background: Angular Momentum 07:59 Background: Bivectors 08:55 Background: Rotors 10:05 Background: Instantaneous Velocity 10:25 Background: Angular Momentum 10:48 Background: Euler's Equation 10:59 n-Dimensional Generalization: Geometric Algebra Operator Matrices 11:48 n-Dimensional Generalization: Inertia Tensor 12:08 n-Dimensional Generalization: Operators and Inertia Tensor 12:39 n-Dimensional Generalization: Correcting Rotor Errors 13:18 Inertia Tensor of arbitrary nD mesh 13:34 Inertia Tensor of arbitrary nD mesh: Inertia Tensor is Linear 13:46 Inertia Tensor of arbitrary nD mesh: Compute Covariance Matrix 14:05 Inertia Tensor of arbitrary nD mesh: Transform Covariance into Inertia 14:30 Inertia Tensor of arbitrary nD mesh: Transforming Inertia Tensor 14:55 Inertia Tensor of arbitrary nD mesh: Diagonalizing Inertia Tensor 15:17 Collision Resolution / Detection 15:32 Collision Resolution / Detection: Hypersphere / Polytope 16:14 Collision Resolution / Detection: Polytope / Polytope 17:03 Dzhanibekov Effect: 3D Dzhanibekov Effect 17:27 Dzhanibekov Effect: 4D Dzhanibekov Effect 17:54 Dzhanibekov Effect: Reduces to 3D case 18:12 Dzhanibekov Effect: Stable states 18:30 Dzhanibekov Effect: Additional Oscillations 18:44 Future Work </video> <video> Miegakure [Hide&Reveal] a true 4D puzzle-platforming game Description: 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 Weber Music by Disasterpeace (http://disasterpeace.com) & Mateo Lugo (https://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: https://www.patreon.com/marctenbosch ⦿ Wishlist Miegakure on Steam: https://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: https://marctenbosch.com/mailing-lists ⦿ Blog: https://marctenbosch.com/news ⦿ Twitter: https://twitter.com/MiegakureGame </video> <video> What does the 4D Klein Bottle look like ? [4D Toys] Description: The Klein bottle is a shape that people often say is related to 4D space, but how is it related? ⦿ Support on Patreon: https://www.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: https://marctenbosch.com/news/2021/12/4d-toys-version-1-7-klein-bottles/ ⦿ Miegakure Steam Wishlist: https://store.steampowered.com/app/355750/Miegakure ⦿ Mailing list: https://marctenbosch.com/mailing-lists ⦿ Twitter: https://twitter.com/MiegakureGame ⦿ Blog: https://marctenbosch.com/news </video> <video> 4D Toys Update: Rotating the 3D Slice, Face Projections, Marble scenes + Every new feature Description: 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: https://4dtoys.com/ Patreon: https://www.patreon.com/marctenbosch Twitter: https://twitter.com/mtbdesignworks Mailing List: https://marctenbosch.com/mailing-lists Blog: https://marctenbosch.com/news/ Wishlist Miegakure: https://store.steampowered.com/app/355750/Miegakure 0:00 Intro 0:53 Star Polychora 0:26 Gyrochora 0:48 Export for 3D Printing 0:51 Anti-Gravity 1:03 Line Projections 1:23 Face Projections 1:40 Wireframe "Davinci" Shapes 2:01 Klein Bottles 2:16 120 Cell and Sphere 2:20 Constant Torque 2:34 Double Rotations 2:47 Marble Scenes 3:17 Auto-Follow 3:28 Rotating the 3D Slice in 4D 4:46 Outro 5:05 Patreon Thank you so much to Super Supporters: Michael Donnelly, Ty Spicer, Kelsair, rice22 </video> <video> Designing a 4D World: The Technology behind Miegakure [Hide&Reveal] Description: 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: https://www.youtube.com/watch?v=9yW--eQaA2I Stay 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: https://www.patreon.com/marctenbosch ⦿ Wishlist Miegakure on Steam: https://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: https://marctenbosch.com/mailing-lists ⦿ Blog: https://marctenbosch.com/news ⦿ Twitter: https://twitter.com/MiegakureGame </video>

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Description

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.

Miegakure plays like a regular 3D platformer, but at the press of a button one of the dimensions is exchanged with the fourth dimension, allowing for four-dimensional movement.

Your ability to move in the fourth dimensions in addition to the usual three allows you to perform miraculous feats like seeing inside closed buildings, walking through walls, stealing objects from closed containers, binding two separate rings without breaking them, etc...

These actual consequences of the mathematical formulation of 4D space have been thought about for more than a century (in the 1884 novella Flatland for example) but it is the first time anyone can actually perform them, thanks to the video game medium.

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