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True ... but... Adding insufficient dimensions still results in various failure conditions. For example math papers show that the platonic solids of our 3 dimensional world (every line the SAME LENGTH and connected in convex shape) : 3 sided facet , 4 sided fact, 5 sided facet, become irrational if too many dimensions added. Admittedly , 3 sided object facets seem universal in 4, 5th , N dimensions. 5 sided goes away first.

cool animated page on primer : https://math.ucr.edu/home/baez/platonic.html


In 5 or more dimensions, there are only three regular polytopes, these three only :

- There is a kind of hypertetrahedron, called the 'n-simplex', having (n+1) faces, all of which are (n-1)-simplices.

- There is a kind of hypercube, called the 'n-cube', having 2n faces, all of which are (n-1)-cubes.

- And there is a kind of hyperoctahedron, called the 'n-dimensional cross-polytope', having 2n faces, all of which are (n-1)-simplices.


I mention this tangent due to fact that it came up in my life a couple times, and not just for playing with D&D dice in higher dimensions.

I can do it in less. First, the lines do not need to be straight because they did not give that condition and the other conditions do necessitate it. Next they only need to be perpendicular to each other line, but the condition was not made that they need to be perpendicular at their point of intersection, or that they even have a point of intersection.

Draw 7 nearly complete circles, not touching, and you are done. Each pair has two points on their respective lines that are perpendicular.

Next they say to draw a red line with green ink. So use red ink, and infuse it with a small amount of green ink. Now it is a red line which contains some green ink. As for the invisible ink you simply ask if they have a supplier for invisible ink and now it's their problem.

Why did I upvote you. How about you just shut the fuck up.

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In the 90s as a semi-new programmer, I got pulled into a client meeting. Sales was promising everything without regard to logic. I kept saying things like, "I don't know if we can do that."

I was never allowed in a client meeting again. This was a good thing!

E: I even went out for a smoke with their second-in-command and started lightly insulting him due to his ridiculous arrogance. We still got the contract. Ha!

It is known.