Welcome to DU! The truly grassroots left-of-center political community where regular people, not algorithms, drive the discussions and set the standards. Join the community: Create a free account Support DU (and get rid of ads!): Become a Star Member Latest Breaking News General Discussion The DU Lounge All Forums Issue Forums Culture Forums Alliance Forums Region Forums Support Forums Help & Search

The DU Lounge

applegrove

(118,682 posts) Fri Aug 19, 2022, 05:47 PM Aug 2022

Cool math:

Link to tweet

3 replies

= new reply since forum marked as read

Highlight:

Cool math: (Original Post) applegrove Aug 2022 OP

In a mirror GreenWave Aug 2022 #1

Cool! MLAA Aug 2022 #2

As long as there are no carries, that always works, but you are limited to digits 0-3. eppur_se_muova Aug 2022 #3

GreenWave

(6,759 posts)

1. In a mirror

Reply to applegrove (Original post)

Fri Aug 19, 2022, 06:07 PM

Aug 2022

the square symbols appear first and I do not know how to show you that.
But will try!

441= ²21

961=²31

MLAA

(17,298 posts)

2. Cool!

Reply to applegrove (Original post)

Fri Aug 19, 2022, 06:13 PM

Aug 2022

eppur_se_muova

(36,269 posts)

3. As long as there are no carries, that always works, but you are limited to digits 0-3.

Reply to applegrove (Original post)

Fri Aug 19, 2022, 06:56 PM

Aug 2022

And we don't normally write 001, 004, or 009 that way.

It's "invisible" with 11 and 22, but it works.

23, 32 and higher fail because the product of the two digits is >4, so you get carries when you square (think (10A + B)^2 = 100A^2 + B^2 + 20AB
If AB = 1,2,3, or 4, you don't get a carry.

In base two there are no such cases, but base sixteen has more.

Reply to this discussion