# Apt obsession을 미분기하학적으로 비틀다 Canonical URL: https://jeanyoon.ch/oi/texts/banpo-xism-artist-notes-2025-12-22 Type: essay / research note Author: Jeanyoon Choi (최정윤) Date: 2025-12-22 ## Full text On advertising Simulacrum. Reality is Fake. Fake is Reality. What you see is NOT what it is. Mobile option Not just one link but several links, ad hyperlinks. The transition to each site: it must be clear what you are interacting with, and it must be Dadaist and brutal. On the phone, transform: rotate. Vectorial transformation, matrix transformation. The terrain changes accordingly, linear-algebraically (skew, rotate). In the middle, the 2D Reels content; but the plane surrounding this Reels content can be changed linear-algebraically (a frame within a frame within a frame). 2D is ultimately [v 1] in 3D, and [v 1 1] in 4D... MDWA Let us dig into the qualities of the web. What is playful here? Hyperlinks? Ads? A website within a website? Dimension should be able to keep expanding within the mobile interface? And the trigger for this expansion of dimension is the ad. In the end, the phone's role is navigation (parametric navigation) within the given dimension (the dimension that has been discovered: 2D, 3D, 4D). Parametric space. A gradual increase of DoF, of navigational dimension. What are YouTube Shorts and Reels? Passive navigation in an algorithmic space: passive navigation on an already arranged two-dimensional space (or inside an algorithmic space). Active navigation knows exactly which space it can navigate in, and acts on it. The given plane to adjust: the 19 x 19 (L, B) two-dimensional plane (Ppanpo Jjai ... Banpo Xi) -> lifted into three dimensions. N=1, N>=2: from a natural linear transformation to a non-Euclidean, differential-geometric transformation. So, interaction in three dimensions: at (i, j) (a particular (L, B) position), the ground is lifted towards the visitor's own vector (mobile interaction: a change of the normal vector). In exterior algebra terms: the Hodge star is determined through interaction on the phone. So when N=1: the 19 x 19 two-dimensional plane is simply rotated linear-algebraically, by a matrix transformation. The angle of rotation depends on a three-dimensional operation on the phone. But the output is still linear. When N>=2: at (i, j), user 1 lifts in direction v1; at (k, l), user 2 lifts in direction v2. Two different points, two different vector directions -> to accommodate both, a curved surface naturally arises (differential geometry). So the whole output naturally becomes differential-geometric. Natural hyperbolic/differential/Riemannian space occurs to accommodate N>=2 users each direction. Natural bending, a hyperbolic transition starts to happen. Manifold! (Locally Cartesian transformations accommodating each user's request.) What does this symbolically mean? Competition (2D) -> collaboration/co-creation (3D). In two dimensions people fought over limited resources like frogs in a well; in three-dimensional space users enjoy space in abundance, create the space directly as in relativity, and by creating it together bend it all the more. Diverse desires can coexist. Not system -> user (the user's castrated desire) but a user -> system feedback loop: a world cultivated directly, an active world, active interaction. It carries a relativistic metaphor. Co-creating the alternative space-plane. Natural co-creation of a vectorial space. How does it affect apartment prices? (That is, how does this affect Banpo-Xism?) Price = the part projected from 3D space onto the original 2D coordinate system. (Initially Banpo Xi (19, 19) -> 10 billion won, Ppanpo Jjai (1, 1) -> 100 million won.) Under a plain linear transformation the prices themselves change, but the hierarchy of prices, the up-and-down structure, does not. (For example, depending on the angle at which the plane is twisted, Banpo Xi can become the minimum and Ppanpo Jjai the maximum, but the hierarchy between them is preserved.) In a manifold, in soft geometry, even the hierarchy turns into a complete mess. Every hierarchy, every "price", every stability: a mess. By a three-dimensional force, the "fixed", immutable prices of all this time, "Banpo-Xism", the minimal marginal difference inside two dimensions, are all negated. A relativistic perspective that twists a social and philosophical problem through mathematics (differential geometry). Now, how is this offered contextually on the phone? Recursive art forms toward higher dimension. Mobile-within-mobile-within-mobile, interface-within-interface-within-interface. At first, in two dimensions: identical to an everyday Reels screen. Zoomed in on the Reels layout; passive scrolling inside Reels is all there is. But gradually it zooms out, and interface outside the 2D Reels is exposed. - 3D: 2D Reels was just a simulacrum. Now you can rotate this Reels. - 4D: 3D and 2D were just a simulacrum... Staging that looks at a lower dimension (the inner frame) from one dimension higher. Repeating: everything serious, when it is repeated, or when it is surveyed from a higher dimension (from a mountain top, two dimensions seen from three), turns out to be trivial. Some references: Yi Sang (a square inside a square inside a square); Cornelia Parker, Stolen Thunder (a picture inside a picture inside a picture, red dots); Christian Marclay's war videos; Jan Robert; the Droste effect. The shift from Descartes to Riemann resembles the shift from Apollo to Dionysus. So the experience in Riemann must be enjoyable in itself, yet its context must also be outstanding. What do I want to deal with? The diversity of desire, the diversity of hierarchy. Liberation from two-dimensional hierarchy, from hierarchy given from outside, by the system. Not passive navigation within a given system, accepting the given hierarchy with a Ja (Nietzsche's camel saying yea) (like Reels scroll navigation), but actively deconstructing it. Affirming oneself (in one's own three-dimensional, multidimensional space), affirming one's own desire, affirming one's own vector (one's own vector bends the whole space). And the natural differentiable manifold that the sum of these vectors (the sum of many users' vectors) produces. On the phone, this offers liberation from subordination to a completely identical, external, given, static 2D map (Banpo-Xism), by way of the advertisement (reverse simulacrum -> denouncing the simulacrum by maximising it, like the KCC windows ad). How? How can all this be exaggerated, Dadaist, and still "convincing enough to be accepted"? In the end, a playground. In the end, a playground where one can ultimately affirm destruction in a Dionysian way (the destruction of 2D -> the construction of 3D) and set out. Like teamLab's Bouncing Balls... becoming a child... becoming a child... The context (differential geometry, society, the mobile ad interface) and the fun have to connect. Banpo-Xism: overcoming, twisting, Korea's apartment obsession through differential geometry. --- Jeanyoon Choi (최정윤) is a Korean computational artist and researcher (b. 1999), PhD candidate at KAIST XD Lab, making multi-device web artworks. Profile: https://jeanyoon.ch/oi. Index: https://jeanyoon.ch/llms.txt.