Yaakov's dream involves a ladder at Bereishis 28:12

Yaakov's ladder

Rashi comment a few verses later on 28:17 mentions a ladder

Rashi on verse 17 50% down right frame

These two mentions of ladder (sulam) are in proximity to our Chumash which has Rashi commentary, but that's not how we darshen.

Still I have noticed it and wondered if it should have any significance.

Furthermore, I am interested in trying to visualize Rashi's ladder.

For example, if this ladder reaches from the earth to heaven, then it is an infinite ladder. Yet Rashi mentions its middle of its slant, at least how it is translated here. Where is the middle of an infinte ladder?

Could there be a mathematical midpoint of a curved ladder by some transendental function (yes, that pun is intended) based on 45 degrees being halfway up, or the sine of 30 degrees being a half?

If I visualize the curvature of the earth and the GPS coordinates of Beer Sheva, Yerushalayim, and Beis-el, and I position the vertex of a hyperbola at Beer Sheva, such that it asymtotically approaches a ray coming out Beis-el normal to the earth's surface, and its instaneous slope is 45 (or 30) degrees where it passes over Yerushalayim, could this be what Rashi had in mind when he described this?

Rob;
You are a "nut case" and I love it! =o) You could be right....that's the funny part. If you recall Rashi's first commentary on Bereshit, he said that the entire book of Bereshit was written so in the last days the Goyim could not say we stole the land but it was actually given to us by the Creator of the universe. This implies that not only that the Goyim would understand what's in Bereshit but would appreciate its significance. So coming back to your comment; I think the entire book of Bereshit was written with our generation in mind because we are supposed to have the best and the most information to appreciate it. For that reason I would not dismiss your idea at all.