User blog:Meowzz/*games!

Surcomplex Pesudo-Numbers
Have been doing a lot of research on games lately & just found this tweet issued by Vi Hart almost 6 years ago:

Challenge: figure out how (and if) Surcomplex Pseudo-Numbers work. They are of the form a + bi, where a and b are games (illegal surreals).

"Surcomplex Pseudo-Numbers" returns exactly 1 result in Google: Vi's tweet. Clearly not something that has gained much traction since 2012..

Pseudo-surreal numbers are 'non-numeric' games (surreal numbers are 'numberic' games : they result in a single number vs a range or 'gap') which do not require the left term of the game to be less than the right term, for instance { 0 | 0 } or { 1 | -1 }.

Since we know that surcomplex numbers are of the form { a + bi | x + yi } where a + bi < x + yi, we also know that { x + yi | a + bi } is a pseudo-number (or non-numeric game).

Remaining questions:

What is a surimaginary number? There was a suggestion online that this may simply be the real numbers.

What significance do pseudo-surcomplex numbers posses (if any)?

What unique things can we do w/ them that we can't do (or are harder) w/ other #s?

Conglomerates
A conglomerate is a collection of classes, similar to how a class is a collection of sets. Wondering about things like { Reals | Surreals }. Using this method, new classes of conglomerate numbers/games could be created that integrate numbers & gaps into a unified 'game' in some meaningful way.

Next
Open to feedback! Will post new thoughts as they arise (: