That would be a lot harder to recreate and reverse engineer than getting a copy of the photo of the dice.
I don't do top secret work, but I do want to protect my personal, business, banking, etc. information so I fiddle around with various approaches to generating passwords.
I actually bought a small, very cheap, PC that I run Linux on expressly for the purpose of managing passwords. It never connects to a network and has software for generating gpg keys, certificates and passwords. I use it infrequently enough that each time I do it takes a lot of work to remember how I decided best to use it.
What I use more than anything for 95% of my passwords is Apple's Keychain app. The information is backed up in the cloud and is available on my Apple computers, iPad, and iPhone. It's been a very helpful application, and I like how it's integrated into Apple's software. For important passwords I resort to the box of dice or my air-gaped little linux laptop.