Tetrahedron

This is still a work in progress. It may be changed in the future.

Tetrahedron, with hexagony as its inspiration, is a fungeoid created by user:cleverxia that operates on a finite tetrahedron.

Program flow

first, the program is loaded into "program tetrahedron" from top to bottom, up to down, left to write, truncated so that there aren't any all-null layers. for example,

123456789abcdefghijklmnopq

will result in this tetrahedron ($'s are nulls):

    1

   2 3
    4

  5 6 7
   8 9
    a

 b c d e
  f g h
   i j
    k

l m n o p
 q $ $ $
  $ $ $
   $ $
    $

IP starts at the top corner, heading down-west (DW).

 UN
UW UE

 NW NE
W IP  E
 SW SE

DW DE
 DS

when the IP/DP overflows at the DW direction it wraps to the top keeping the same direction. same for DE,DS,UN,UW,UE. when IP overflows at the E direction, it "warps and reflects to the other side" like this:

   $             Z
  3 6           9 5
 0 X 2         $ $ 6
$ 8 5 $       0 1 2 Y

where numbers represent the time that the IP comes there, X contains 1/4/7, Y contains 3/7, Z contains 4/8. essentially the same for W/NW/NE/SW/SE.

The data pointer starts at the top, heading down-west (again).

Before the program starts, all commands in the tetrahedron is changed into the corresponding opcode in numbers with null ($)=0. (Otherwise there are no way for you to manage the data) DP's value is the opcode of the cell pointed by the data pointer

Commands

Caption text

command	opcode	meaning
	-1	APLWSI interpreter
0~9	0~9	also an APLWSI interpreter, useful for initializing data
△▽○◇□☆▲▼●◆■★	-2~-13	go in the specified direction opcode direction -2 UN -3 UW -4 UE -5 NW -6 NE -7 W -8 E -9 SW -10 SE -11 DS -12 DW -13 DE
▷◁♤♡♢♧▶◀♠♥♦♣	-14~-25	set data pointer direction in the direction specified by the table above and opcode (x+12)
Δ	-26	set the IP's delta to the DP's value
δ	-27	set DP's delta to DP's value
@	10	halt
"	11	move the DP in its direction
#	12	skip next instruction
$	13	swap current DP's value with register. (register starts at 0)
+-*/%	14~18	DP's value [command]= register (integer division, rounds towards zero)
>	19	set register to current cell
o	20	output DP value as ASCII
n	22	output DP value as number
i	21	input ASCII to DP value
&	23	input number to DP value
_	24	reflect
¤	25	load a schematic with ID equal to DP value
А-Яа-я	32~97	schematic command, undefined commands interpret APLWSI (also can be used as initializers)
!	26	logical not DP's value

(Want to branch? here's an example (with square topology, 'v' means down, 'R' means right, assuming register stores 1):

!!+Δv$ ΔAAA
     R   BBB

takes the AAA path if DP value!=0, BBB path if DP value=0.)

This is still a work in progress. It may be changed in the future.