It is with mixed success that I finish my third attempt at what I hope is the world's first real-world (i.e. not computer-rendered) tesseract, or hypercube. It started last spring while I was bored in a job-hunting class. I was studying my Meyer-Briggs results, and the chart that divides all people into one of 16 groups. I wanted a chart that could represent all 16 types in one symmetrical arrangement If there were only two properties, all combinations could be represented in a simple table: Introverted/Extroverted Sensing/iNtuiting Code (Text): [B]I[/B](1stcolumn) [B]E[/B](2ndcolumn) [B]S[/B](1strow) IS ES [B]N[/B](2ndrow) IN EN With three properties, you'd need a cubic table Introverted/Extraverted Sensing/Intuiting Thinking/Feeling Code (Text): Thinking Feeling [B]I[/B] [B]E[/B] [B]I[/B] [B]E[/B] [B]S[/B] IS[B]T[/B] ES[B]T[/B] IS[B]F[/B] ES[B]F[/B] [B]N[/B] IN[B]T[/B] EN[B]T[/B] IN[B]F[/B] EN[B]F[/B] On this webpage, I'm forced to flatten it to 2 dimensions, and have the third stick out the side. This produces an unintentional bias toward one property over the others. In the above example, Sensing/Intuiting is singled out as two tables. But as a cubic table, I can represent all three properties in their correct relationship to each other. All I have to do is flip the cube so I'm looking at the properties I want. Property 1: columns Property 2: rows Property 3: depths But ... with four properties, you can't represent them all at the same time in correct relation to each other. Jjust like stacking two 2D tables got me a 3D cubic table, I'd like to be able to stack two 3D cubic tables to make one 4D table Introverted/Extroverted Thinking/Feeling Sensing/Intuiting Judging/Perceiving Code (Text): Judging [B]T[/B](frontlayer) [B]F[/B](rearlayer) [B] I E I E[/B] [B]S[/B] IST[B]J[/B] EST[B]J[/B] ISF[B]J[/B] ESF[B]J[/B] [B]N[/B] INT[B]J[/B] ENT[B]J[/B] INF[B]J[/B] ENF[B]J[/B] Perceiving [B]T[/B](frontlayer) [B]F[/B](rearlayer) [B] I E I E[/B] [B]S[/B] IST[B]P[/B] EST[B]P[/B] ISF[B]P[/B] ESF[B]P[/B] [B]N[/B] INT[B]P[/B] ENT[B]P[/B] INF[B]P[/B] ENF[B]P[/B] So, I need a four dimensional table - all four properties in the correct relation to each other. A tesseract nicely fits this bill. The fourth property is represented by a fourth dimnesion in the table. Property 1: columns Property 2: rows Property 3: depths Property 4: ? Now, since the physical world can't actually represent a 4th dimension, it gets squashed. This squashed layer can be represented by a 4th squahsed "direction": layers. Inner and outer. What I want to be able to do, ultimately, is rotate the tesseract as I please, like this: Thus begins my quest for a real-world tesseract.