The SDF of a Box

How to derive formula of the SDF of a Box, a common shape in procedural modeling.

[MaGnAFraG]

The escalation to "visualizing the SDF of a 3D projection of a 4D box" near the end was quick :)

[xellart]

Sir you are a beast. Everytime my googling about raymarching gets concrete you appear in the results. Phenomenal work and resources you put out there, thank you so much!

[dmdjt]

That's the best explanation I've seen so far... Thank you!

[sea-saw]

That was great. The visual going from 2D to 3D to 4D was fantastic!

[SpencerYonce]

You are a true wizard, my friend. Continue to share the magic of numbers, as this wizardry is contagious to the mind of fellow thinkers.

[BartKevelham]

Great explanation, wonderful visualization, what a resource! Keep it up!

[psykoj]

So well explained! Why didn’t I have teachers like this growing up. thank you!

[knightcrawler]

My god. These are some top notch quality videos :O Thank you :)

[milosavpavlovic]

Thanks, this was great, even the shading of the outside and inside of the shape, in the end, was purposeful.

[Dudevid]

I echo the sentiment in the comments that I would adore a series of these videos covering each primitive, getting progressively more complex and building on previous videos! Thanks for the amazing work, IQ.

[upup]

i love how the expression involves vectors, so it doesnt matter what are the dimensions, i love the elegance of this whole thing, thanks for explaining it!!

[RostamiMagic]

Thank you for the clear explanation. The graphics are stunning!!

[armenmichaeli]

I wanted to mention one little thing which I myself seem to have noticed for the first time, watching this video -- I think music, the right kind of music (which I guess is subjective, admittedly), will help one learn better. It relaxes the mind and helps you put your mind closer to the "zone". At least that's my impression. Either that or it's Inigo's soft Spanish accent that he speaks with, or simply his method of explaining the difficult using simpler terms. Anyway, think about it -- music as a catalyst of learning math...

[Blacksoul]

the most powerful compact explanation and formula I've seen so far!!
Stunning!!, absolutely amazing!

[CraigPerry]

How is it possible there’s only 10k subscribers to this channel. This is one of the most interesting and educational channels ever!

[sociamix]

Cool thank you, can't wait for the next one !

[xbzq]

Excellent animations there. I bet it was a lot of work, but it shows in the result.

[przite]

Great video! I have learned so much from reading your articles over the years, very happy that you are expanding to videos as well!

[noonansean]

I really wish you would do more videos, in fact I wish you would do an entire course right here on youtube. There's so much many of us could learn from you.

[jochenfeldkotter]

thank you.. Finally understood the df I used so many times without thinking about it :)