ZXZZZZZZA09A10A11A12ZA09ZA09ZA01A02A03A04A05A06A07A08A09A10A11A12ZXZA05A08ZA05A08ZA05A08ZA05A08ZA05A08ZA05A06A07A08ZZA01A02A03A04A05ZA01A02A03A04A05A08A09A10A11A12Y160YV100Y0Y20WV160WV100W3

(kinda mid)

CONFINITE TOPOLOGY

Name: Puzzling, Right?
Name: Puzzling, Right? 2
Name: Puzzling, Right? 3: Aiming the Yellow Cube

Za-Chary wrote:

education888 wrote:

10 easy levels

vhurankhuram wrote:

Could be a bit confusing

I enjoyed playing both of your levels!

ashfalcons44 wrote:

It's not very good but

I enjoyed yours as well — I found the last level to be a bit difficult!

ZXZZZZZA08A09ZA08A09ZA01A07A08A09ZA01A02A03A04A05A06A07A08A09A10A11A12ZA01A02A03A04A05A06A07A08A09A10A11A12ZXZZZA01A02ZA01A02A03A04A05C06ZA01A02A03A04A05A06C07ZA01A02A03A04A05A06A07C08ZA01A02A03A04A05A06A07A08C09ZA01A02A03A04A05A06A07A08C09C10ZA01A02A03A04A05A06A07A08A09A10A11A12ZXZZA03A04A05ZA01A02A03A04A05A06ZA07ZA08ZA08ZA08A09A10A11A12ZZZXZZZZZA07ZA01A02A08ZA01A02A03A04A05A06A07A08A09A10A11A12ZA01A02A03A04A05A06A07A08A09A10A11A12ZZXZZZZA01A02A03A04ZA01A02A03A04A05A06A07A08A09A10A11A12ZA01A02A03A04A05A06A07A08A09A10A11A12ZZZZXZZA05ZA05ZZA09A10A11A12ZA09A10A11A12ZA01A02A03A04A05A09A10A11A12ZA01A02A03A04A05A06A07A08A09A10A11A12ZA07A08A09A10A11A12ZXZZZZZA10ZA09A10ZA01A02A03A04A05A06A07A08A09A10A11A12ZA01A02A03A04A05A06A07A08A09A10A11A12ZA01A02A03A04A05A06A07A08A09A10A11A12ZXZZZA01A02A03A04A05C06ZA01A02A03A04A05A06A07A08C09ZA01A02A03A04A05A06A07A08A09C10ZA01A02A03A04A05A06A07A08A09A10C11ZA01A02A03A04A05A06A07A08A09A10A11A12ZA01A02A03A04A05A06A07A08A09A10A11A12ZA01A02A03A04A05A06A07A08A09A10A11A12ZXZA09ZA09ZA01A02A03A04A05A06A07A08A09A10A11A12ZZA05ZA02A03A04ZZZZXZA01A09A12ZA01A12ZA01A05A06A07A08A09A10A11A12ZA01A05ZA01A05ZA01A02A03A04A05ZZZY160YV60YV200Y140Y120YV20YV40Y60Y200Y60YV160YV20Y200Y20YV200Y140Y160Y140YV120Y20WV160WV60W1

Za-Chary wrote:

⭑ Topological Space ⭑
⭑ Topology through platforming! ⭑
⭑ By @Za-Chary ⭑

You can play my newest game, Topological Space, here! https://scratch.mit.edu/projects/409786642/
It's a mobile-friendly game, too!

This forum topic is for anything related to Topological Space. Discuss the game, post level codes, ask about my experiences when making the game, tell me about any bugs (I cannot guarantee that I will fix them, though), or anything else related to the game! More information about it is below.

Credits and additional information can be found in the Notes and Credits section of the game.

Description
Topological Space is an artistic and simplistic platformer game with an implicit and literal twist: the space in which you move in is not your ordinary topology! Rather than moving your character in a closed box, unable to move past the edges, you are able to “loop” past the edges. Go all the way to the right, and you'll suddenly appear at the left! Fall to the bottom of the screen, and you'll go right to the top! Some spaces may even change the way that directions work. You have 150 levels to get accustomed to these new topologies!

The main inspiration of this game comes from a mathematical field known as “topology,” the study of surfaces and how they can be deformed. One of the coolest things I learned about topology is how to construct certain objects from a square, simply by identifying certain edges as “the same.” You can see this Wikipedia article for some pictures about this. In Topological Space, you explore platformer physics in the spaces of a torus, a Klein Bottle, and a real projective plane.

I was also able to program a level editor for this game! I am particularly interested in seeing what creative levels that Scratchers can come up with, given these interesting new platforming physics. I definitely plan to play your levels when I get the chance.

Video Walkthroughs
I made walkthrough videos of this game, including how to beat all the levels and how to work through the level editor to its full potential. The videos are below:

• Open Torus: https://www.youtube.com/watch?v=Qe7-pEvJA1o
  
  
• Open Klein Bottle: https://www.youtube.com/watch?v=uAIH5t9Rkxk
  
  
• Open Real Projective Plane: https://www.youtube.com/watch?v=D0HZ-Yf-RUE
  
  
• Compact Torus: https://www.youtube.com/watch?v=qiJt1ry0lF8
  
  
• Compact Klein Bottle: https://www.youtube.com/watch?v=jvjMXhyEtJc
  
  
• Compact Real Projective Plane: https://www.youtube.com/watch?v=R9UkLCqiY3g
  
  
• Level Editor: https://www.youtube.com/watch?v=OJHuKIXKV8c
  

Level Codes
Stuck on ideas for levels? Here I have re-created some of the levels found in the game. Just copy the code, access the game, click “Level Editor” then “Load World,” and paste the code. Then you are able to edit these levels the way you want to! You can also look at other Scratchers' level codes, posted in this topic, for other inspiration! I am still working on re-creating them…

• Open Torus Levels 1 to 10: https://scratch.mit.edu/discuss/topic/452999/?page=9#post-4576683
  

Frequently Asked Questions
This is where I will post any frequently asked questions about the game.

• Are all the levels possible? Yes, they are; I beat them myself. If you suspect a level is not possible, view the walkthrough videos above to see how to complete it.
  
  
• Why are controls in the Klein bottle reversed? This is intentional, and it is due to how we may expect physics in the Klein bottle to behave. The reason why you appear at the opposite side in the Klein bottle is the same reason why the left/right controls are reversed.
  
  
• What do the arrows on the sides represent? They represent how the physics change when you pass through those edges. If one arrow is moving the same direction as the arrow on the opposite side, then the physics don't change. But if the arrows are moving the opposite directions, then either your left/right or up/down movement gets flipped. The arrows are what mathematicians in real life use to model this phenomenon.
  

That's all there is to my latest game. Let me know what you think; I hope you have fun! Feel free to play the game here: https://scratch.mit.edu/projects/409786642/

Happy platforming!

ZXZA01A02A03A04A05A06A07A08A09A10A11A12ZA01A12ZA01A12ZA01A07A12ZA01A06A07A12ZA01A07A12ZA01A06A07A12ZA01A07A12ZA01A02A03A04A05A06A07A08A09A10A11A12ZXZA08A09A10A11ZZZA04ZA04A05ZA04A05ZA04A05A06ZZZXZA06A07ZZZZZZZZA02A11ZXZZZA01A04A05A06ZA01ZA01ZA01ZA01ZA01ZA01A02A03A04A05A07A08A09A10A11A12ZXZJ12ZJ12ZA07A08A09A10J12ZJ12ZJ12ZJ12ZJ12ZJ12ZA01A02A03A04A05A07A08A09A10A11A12ZXZA05A06A07A08ZA04ZA03ZA02ZZZA03ZA03ZA03A10A11ZXZI01A02A03A04A05A06A07ZG12ZA01A10A11A12ZA07A08A12ZA01A07A08A12ZA07A08A12ZA01A07A08A12ZA03A07A08A12ZA03A07A08A12ZXZA01A02A03A04A05A06A07A08A09A12ZA01A12ZA01A12ZA01A12ZA01A12ZA01A12ZA01A12ZA01A12ZA01A02A03A04A05A06A07A08A09A10A11A12Y160YV100YV200Y140Y200Y60YV200Y140Y160Y140YV200YV140Y160Y140Y0Y20WV160W20W1

here is a RPP level
there is one easy and one hard level
but which one is which
name: empty inversion

Something I made.

ZXZO01G02G03G04G05G06G07G08G09G10G11P12ZJ01H12ZJ01H12ZJ01H12ZJ01H12ZJ01H12ZJ01H12ZJ01H12ZP01I02I03I04I05I06I07I08I09I10I11O12ZXZJ07J08ZJ07J08ZJ07J08ZJ07J08ZJ07J08ZI04I05J07J08ZI02J07J08ZD07J08K09ZI01I02I03I04I05I06I07N08I09I10I11I12ZXZH01D03ZC01J03I07F08A09I10I11ZH01O03G04G05P06H09I12ZC01I03H06H09I11P12ZH01G03H06P09I10H12ZO01I02P03I04I05O06H09H12ZH01H09H12ZH01H09H12ZE01D04I05I06O09I10I11O12ZXZO01P06O07P12ZI04P06O07I09ZP06O07ZI02I03P06O07I11ZI05P06O07ZP06O07ZI03P06O07I12ZP06O07I09ZP01G02G03G04G05P06O07G08G09G10G11O12ZXZE06F07ZE05F08ZE04F09ZE02I03I10F11ZI01I12ZI04F05I06I07E08I09ZZI02I03I10I11ZI04G05I09ZXZJ04H09ZJ04H09ZN04O05G06G07C08M09ZJ05ZJ05F10ZI01G02P05I06I07E08G09J10F12ZI03G04I10I11I12ZI05I06I07F08ZG01G04J08C09G12Y160YV100YV80Y20Y160YV100YV160Y100Y0Y20Y0Y140WV160WV100W1

BONUS: Try completing it in all three modes! (Torus, Klein Bottle, Projective Plane) ;)

ZXZL01A02A03A04A07ZE01I02F03A04A07J10C11G12ZH01A04A05A06E07I11F12ZC01A04A09ZH04L11J12ZD02A03A04A05A06A07A08C09K10N11J12ZJ01A02A03A09H10N12ZD01A02A03A09H10N11ZA01A02A03A04A05A09C10G11ZXZL03D04A05A07A10ZL01G02A03A04A05A07A10ZE01A04A05A07A10ZA04H05A07A10ZA01A02A03A04A05A07A08A09A10A11A12ZA05G06N09I10I11F12ZA05A06A07A08A09N10J12ZA05E06I07I08I09I10N12ZA05L12ZXZH01A02A03A04A05A06A07A08A09A10M11ZA02A03E04A10J12ZJ01H04L06A07A10ZH04L05M06F07A10J12ZA03A05C06A07A08A09A10J12ZL02A03N05I06F07A08A10J12ZJ07A08A10J12ZD07A08A10ZA03A04A05A06A07A08A09A10YV160Y60Y80Y60YV160Y60WV40W140W1

(eh.)

And yes, the last level is possible.
It’s just hard. :]

there are 6 pixels in the game that shouldn't be there, not counting the pixels caused
Edit: I found 12 more there are a lot of them
Edit 2: I made a remix with every incorrect pixel fixed

MathMathMax wrote:

here is a RPP level
there is one easy and one hard level
but which one is which
name: empty inversion

ZXZZZZZZZZZZXZZZZZZZZZZXZL01K04ZJ01H04ZJ01H04ZN01F02H04ZJ02H04ZL01D02H04ZJ01H04ZJ01M07L10K11ZN01I02I03M04ZXZZZZZZL02K03ZK07ZK06ZN02M03Y120Y60YV160Y100YV160YV100Y0Y20WV120W20W3

beaten in this remix

easiest way to find each letter in the font:
A: Title screen (Adventure Mode)
a: Title screen (Topological Space)
B: Go to level select (Klein Bottle)
b: Beat Open Spaces Torus (Subspace Topology)
C: Go to level select (Compact Spaces)
c: Title screen (Topological Space)
D: Beat Open Spaces Real Projective Plane (Discrete Topology)
d: Title screen (Adventure Mode + Level Editor)
E: Title screen (Level Editor)
e: Title screen (Topological Space + Adventure Mode + Level Editor)
F: Impossible
f: Beat Open Spaces Klein Bottle (Cofinite Topology)
G: Impossible
g: Title screen (Topological Space)
H: Impossible
h: Impossible
I: Go to the level editor, make a easy world, then beat it in play mode (Indiscrete Topology)
i: Title screen (Topological Space + Level Editor)
J: Impossible
j: Level select (Real Projective Plane)
K: Level select (Klein Bottle)
k: Editor button (Make World)
L: Title screen (Level Editor)
l: Title screen (Topological Space + Level Editor)
M: Title screen (Adventure Mode)
m: Level select (Compact Spaces)
N: Impossible
n: Title screen (Adventure Mode)
O: Level select (Open Spaces)
o: Title screen (Topological Space + Adventure Mode + Level Editor)
P: Level select (Real Projective Plane)
p: Title screen (Topological Space)
Q: Beat Compact Spaces Real Projective Plane (Quotient Topology)
q: Impossible
R: Level select (Real Projective Plane)
r: Title screen (Adventure Mode + Level Editor)
S: Title screen (Topological Space)
s: Level select (Open Spaces + Compact Spaces + Torus)
T: Title screen (Topological Space)
t: Title screen (Adventure Mode)
U: Impossible
u: Title screen (Adventure Mode)
V: Impossible
v: Title screen (Adventure Mode + Level Editor)
W: Level editor menu (Make World + Load World + Play World)
w: Impossible
X: Impossible
x: Go into the code and see (Textbook)
Y: Impossible
y: Beat Open Spaces Torus (Subspace Topology)
Z: Impossible
z: Impossible

It's not the best but it is my first one.

ZXZA01A02A03A04A06A07A08A11ZA01A10ZA01A09ZA01A08A12ZA01A02A03A04A05A06A07A11A12ZE01O02O03O04O05D06M07A10A12ZA01A02A03A04A05M06A09A12ZA03A08A12ZA07A11ZXZA04A07ZA04A07ZA04A07A08A09A10A11A12ZA04A12ZA04A12ZA01A02A03A04A05A06A07A08A09A10A11A12ZZZZXZA03ZA03ZA01A02A03A07A08ZA01ZA01ZA01A02A03A04A05A10A11ZZZZXZA01A04ZA01A04ZA01A04A05A06A07A08A09A10A11A12ZA04C07P08P09F10ZA04A07A08A09A10ZA01A02A03A04A07ZA01A06A07ZE04E05A06ZA01A02A03A04D05D06ZXZA07ZA06A09ZA05A06A09ZA01A02A03A04A07A08ZA01A02A03A07ZA05A06ZA05A06ZA01A02A03A04A05A06ZA06Y160YV100Y160Y20YV160Y20YV40Y20Y40Y100WV160W60W3 - sick projective plane world, it's got some real weird solutions. I basically made it by having a dumb idea, building it, checking if it works, and slightly modifying it until it does.

plz4x wrote:

Currently has 5 levels.
ZXZZZZZZZZZZXZA01A02A03A04A05A06A07A08A09A10A11A12ZA12ZI01J03J04J05J06J07J08J09ZI01ZI01ZI01A12ZI01A12ZI01A12ZA02A04A06A08A10A12ZXZA09A10A11A12ZD05A06A07A08A09A12ZD04J12ZD03D10I11I12ZD09ZC01D08ZC02D07A08A09A10A11A12ZC03D06ZC04D05ZXZA03A05A07A08A09A10A11A12ZA03A05A07ZA01A02A03A05A07ZA05A07ZA01A02A03A04A05A07ZA07ZA01A02A03A04A05A06A07ZZA01A03A05A07A11ZXZJ04I05I06I07I08I09I10I11F12ZJ04J05I06I07I08I09I10I11J12ZI03I04J05J06J07I08I09I10I11I12ZI01E02I03I04I05J06J07G08G09G10G11G12ZH02E03I04I05F06J07L08G09G10G11J12ZH02H03J06J07G08G09G10J11J12ZH02H03J06G07G08G09G10D11J12ZH02H03G06G07G08G09G10G11D12ZH02H03Y160YV100Y160Y100Y120YV140YV200Y140YV80YV140WV200W140W1

.

orrinpants wrote:

(#597)

ZXZD01A02A03A04A05A06A07A08A09A10M11G12ZA03A04A05A06A07A08A09M10D11A12ZA03A04A05A06A07A08M09D10A11A12ZA01J02A03A04A05A06I07M08D09A10A11A12ZA01J02A03A04A05M06D07A08A09A10A11A12ZA01J02A03I04M05D06A07A08A09A10A11A12ZM03D04A05A06A07A08A09A10A11A12ZA03A04A05A06A07A08A09A10A11A12ZF01A02A03A04A05A06A07A08A09A10A11E12YV200Y100WV200WV100W3

The equivalent of a seemingly impossible level that gives you a sense of “Ohh, that's how!” when finished, but now on a tetrahemihexahedronwhat's that?!

Hmm, this looks easy, just have to fall endlessly.

ZXZA01A02A03A04A05A06A07A08A09A10A11A12ZA01A02I03I04I05I06I07I08I09I10A11A12ZA01A12ZA01H05J08A12ZA01K02C05D08L11A12ZA01L04A05A06A07A08K09A12ZA01A12ZA01A02A11A12ZA01A02A03A04A05A06A07A08A09A10A11A12ZXZO09ZA04A09ZE03I04F05E08I09F10ZH03A04J05H08A09J10ZH03F05I06I07E08J10ZO01O02H03D04G05G06G07G08H09J10O11J12ZK03J04C09J10ZH03J04K09J10ZA01A02A03A04A05A06A07A08A09A10A11A12ZXZA01A06A07ZA01A02A03A04A06A07A08A09ZA06A09A10A11C12ZA01A02A03A04A05A06A09A10A11A12ZG01G02G03G04G05G06G07G08A09ZA01A02A03A04A05A06A07A08A11A12ZA01A02A03A04A05A08A09A11A12ZA08A11A12ZA01A03A04A05A06A07A08A10A11A12ZXZA01A02A03A04A05A06A07A08A09A11A12ZA03A09ZA01A03A09A10A11A12ZA01ZA01A02A03A04A05I06I07I08A09A10A11ZA03K04G05G06G07A09O10A11ZA01A02A03A06A09O10A11A12ZA06A08A09O10A11A12ZA06Y0Y60Y0YV100Y40Y60YV80YV100W0WV100W1