∞ bits, ℵ0 Bytes

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

∞ bits, ℵ0 Bytes is designed by PSTF.

Concept

To "InHeRiTaNcE" Concept of 6 bits, 12 bytes, I created this Esolang.

Commands

Command Character Table

     0123456789ABCDEF
  
00   □┌┐└┘○●▲►▼◄◊☺☻♀♂
01   ♠♣♥♦♪♫♯←↑→↓↔↕░▒▓
02    !"#$%&'()*+,-./
03   0123456789:;<=>?
04   @ABCDEFGHIJKLMNO
05   PQRSTUVWXYZ[\]^_
06   `abcdefghijklmno
07   pqrstuvwxyz{|}~‰ 
08   ‘’‚‛“”„‟†‡•․…′″‴
09   ⅓⅔⅕⅖⅗⅘⅙⅚⅛⅜⅝⅞√∞∟∩
0A   █¡¢£¤¥¦§¨©ª«¬▄®¯
0B   °±²³´▀¶·¸¹º»¼½¾¿
0C   ÀÁÂÃÄÅÆÇÈÉÊËÌÍÎÏ
0D   ÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞß
0E   àáâãäåæçèéêëìíîï
0F   ðñòóôõö÷øùúûüýþÿ
10   ĀāĒēĚěĪīŌōŒœŪūǍǎ
11   ǏǐǑǒǓǔǕǖǗǘǙǚǛǜəʃ
12   ○αβγδεζηθικλμνξπ
13   ρστυφχψωϙϛϝϟϡϣϥϧ
14   ϩϫϭϯϵ϶ϸϻάέήίΰϊϋό
15   ύώɐɑɒɓɔɕɖɗɘɚɛɜɝɞ
16   ɟɠɡɢɣɤɥɦɧɨɩɪɫɬɭɮ
17   ɯɰɱɲɳɴɵɶɷɸɹɺɻɼɽɾ
18   ɿʀʁʂʄʅʆʇʈʉʊʋʌʍʎʏ
19   ʐʑʒʓʔʕʖʗʘʙʚʛʜʝʞʟ
1A   ʠʡʢʣʤʥʦʧʨʩʪʫʬʭΔΘ
1B   ΛΞΠΦΨΩБДЖЗИЙЛУЦЧ
1C   ШЩЪЫЬЭЮЯбгджзийк
1D   лмнтцчшщъыьэюяᴀᴁ
1E   ᴂᴄᴅᴆᴇᴉᴊᴋᴌᴎᴑᴒᴓᴔᴕᴖ
1F   ᴗᴘᴜᴝᴞᴟᴠᴡᴢᴣᴤᴥᴚ▌▐☼

Command

"top value of the stack" is shortened to "top value". Do A on B means to pop B, and push operation A applied to B.

Byte	Name	Shortened	Action
00	null	*	Does absolutely nothing.
01	duplicate	.	Duplicates the top value.
02	over	,	Duplicates the second-to-top value.
03	flip	:	Flips the top two values.
04	flip all	↕	Flips the entire stack.
05	pop	⌠	Pops the top value.
06	add	+	Adds the top two values.
07	subtract	-	Subtracts the top two values.
08	multiply	×	Multiplies the top two values.
09	divide	÷	Divides the top two values.
0a	power	ⁿ	Pop the top to values A and B, then push AB.
0b	modulo	◿	Takes the remainder when divided.
0c	floor	⌊	Rounds towards 0.
0d	sine	∿	I don't have any Idea on this shit.
0e	number	#	Prints the top value as an integer and then pop it out.
0f	print	→	Prints the top value as a character (In Unicode, NaC(Not a character) will output as an question mark) and then pop it out.
10	zero	0	Pushes 0.
11	one	1	Pushes 1.
12	two	2	Pushes 2.
13	three	3	Pushes 3.
14	four	4	Pushes 4.
15	five	5	Pushes 5.
16	six	6	Pushes 6.
17	seven	7	Pushes 7.
18	eight	8	Pushes 8.
19	nine	9	Pushes 9.
1a	push	↑	Pushes a number on to the stack.
1b	pi	π	Pushes pi.
1c	euler	e	Pushes Euler's number.
1d	byte	•	Pushes 256.
1e	round	[	Rounds as usual.
1f	ceiling	⌈	Rounds away from 0.
20	jump	↷	Jumps to the corresponding instruction.
21	start loop	(	Jumps to the corresponding ) if the top value is ≤0.
22	end loop	)	Goes back to the corresponding ( if the top value is >0.
23	input	↓	Input a number and push it to the stack.
24	increment	i	Increases the top value by 1.
25	decrement	d	Decreases the top value by 1.
26	square	s	Squares the top value.
27	negative	`	Negates the top value.
28	short	σ	Pushes 65536.
29	int	λ	Pushes 2147483648.
2a	long	Λ	Pushes 9223372036854775808.
2b	double	Δ	Pushes 1.797693134862316e+308.
2c	reciprocal	r	Divide 1 by the top value.
2d	logarithm	l	Take log base a of b.
2e	nan	!	Pushes NaN.
2f	infinity	∞	Pushes infinity (float).
30	if	c	If the top value of the stack is a specified number, run the code.
31	else	C	Otherwise, do this.
32	end conditional	x	End the code in the else block.
33	right	>	Same as Brainfjck.
34	left	<	Same as Brainfjck.
35	unary	¹	Output the top value in unary.
36	newline	↲	Insert a newline.
37	outputWhole	o	Output the whole stack from top to bottom and then clear the stack.
38	listen	l	Input an decimal and then push into stack.
39	say	S	Output the top element as an decimal and then pop the top element.
3a	quine	q	Output the source code in anyway.
3b	random	⚂	Pushes a random number between 0 and 1.
3c	read	读	Input a Unicode character and push its Unicode value into the stack.
3d	cycle	↻	Toggles cycle mode: the program goes back to the first command after finishing the last.
3e	clear	□	Pops everything.
3f	end	■	Ends the program.
69	printtoggle	¡	Prints every character until this character found again.
6e	stack	栈	Switch between the mode Brainfuck mode and Befunge mode -- Stack operation or memory operation.
7f	memory	刌	Add an virtual memory for this program and discard it when executed ■ command.

The valid program bit number is Ω(Absolute Infinity, if you've seen "Count from 0 to [[[(????T̛̖̗̘̙̜̝̄̅̆̇̈̉̊̋̌̍̎̏̐̑̒̓̔̕̚h̡̢̧̨̠̣̤̥̦̩è̸̹̺̻̼̀́̂̃̄̅̆̇̈̉̊̋̌̍̎̏̐̑̽̾̿̀́́ T̡̢̛̖̗̘̙̜̝̞̟̠̣̤̄̅̆̇̈̉̊̋̌̍̎̏̐̑̒̓̔̕̚r̡̢̧̨̛̗̗̘̙̜̝̞̟̠̣̤̥̦̩̪̚u͇͈͉͍͎ͣͤͥͦͧͨ́͂̓̈́͆͊͋͌ͅ͏̘͐͑̈́͑ͦ̀͂e̵͚͇͈ͬ́̾̿̀́͂̓̈́͆ͅ E̴̵̶̷̸̪̫̬̭̮̯̰̱̲̳̹̺̻̼̽n̸̷̸͍͚͊͋͆d̴̵̶̷̸̫̬̭̮̯̰̱̲̳ ơ̡̢̧̨̗̘̙̜̝̞̟̠̣̤̥̦̩̪̫̚f̴̵̶̷̸̬̮̯̰̱̲̳ N̴̵̶̷̸̡̢̧̨̛̖̗̘̙̜̝̞̟̠̣̤̥̦̩̪̫̬̭̮̯̰̱̲̳̹̄̅̆̇̈̉̊̋̌̍̎̏̐̑̒̓̔̕̚ư̡̢̜̝̞̟̠̣̤m͓͔͕͖͙͚͒͗͛͘͜b̡̢̛̘̙̜̝̞̟̠̣̤̥̦̚e̴̵̶̷̸̬̬̭̮̯̰̱̲̳̹̺̻̼̽̾̿̀́ṛ̴̵̶̷̸̡̢̧̨̤̥̦̩̪̫̬̭̮̯̰̱̲̳̹̺)]]]", then you'll understand this s**t.)

Numbers

The number area is the whole ℝ.

Examples

Hello, world!

刌
iiiiiiiiiii(>iiiiii>iiiiiiiii>iiiiiiii>iiii>iii>i<<<<<<d)>iii
iii→>ii→iiiiiii→→iii→>>→>d→<<d→<→iii→dddddd→dddddddd→>>>i→>d→
■

Compressed by Unicode UTF-16LE:

⑿␤␤␤␤␤㌡␤␤␤␳␤␤␤␤␳␤␤␤㌤␤␤␳␤␳㐴㐴㐴㌥␤␤␤㌏␤␏␤␤␤༏␤༤㌳㌏༥㐴༥༴␤༤┥┥┥┏┥┥┥༥㌳␳㌏༥?