4 ms·
How to expand a cube to obtain a Tesseract – a 4D equivalent of a cube
- dudul 5y ago"But I thought the 4th dimension was time!" Make sure to watch the movie Hypercube to fully appreciate this article!
- drdeca 5y agoJust take e.g. [0,1]^4 ? Ah, this article is about visualizing it, ok.
- rkagerer 5y agoI'm grateful to the author for putting all that work into creating so many visualizations and diagrams to help me understand it. But sadly I still don't. ¯\_(ツ)_/¯
- Hayarotle 5y agoRegarding the difficulty of expressing the differing distances of overlapping points in the isometric projection (the one that has four axis) and in the shadow projection. A common way to represent proximity in 3d in a 2d projection is to make the wireframe thicker and/or stronger for closer lines, such as in organic chemistry (see the diagram for Bromochlorofluoromethane [1]), as if the wireframe had non-zero thickness and appeared thicker the closer it is to our eyes Could something similar be implemented to improve the visualization of 4d objects in 3d projections? Making lines/surfaces thicker when closer in the orthogonal dimension, or changing opacity to represent such thickness [1] https://en.wikipedia.org/wiki/Bromochlorofluoromethane https://en.wikipedia.org/wiki/Bromochlorofluoromethane
- the__prestige 5y agoPhenomenal visualizations! Truly a game changer in exposition. Would love to use these interactive visualizations in my blog to take it to the next level. Anyone know which tool(s) the author has used?
- ClosedPistachio 5y agoIn the credits it mentions: https://marctenbosch.com/news/2017/06/4d-toys-a-box-of-four-dimensional-toys/ https://marctenbosch.com/news/2017/06/4d-toys-a-box-of-four-...