Prompt: Riemannsche Flächen, auf denen mehrdeutige Funktionen wie der Logarithmus (unendlich viele Blätter) oder die Wurzelfunktion (zwei Blätter) „eindeutig“ werden. Komplexe Funktionen sind „harmonische Funktionen“ (das heißt, sie erfüllen die Laplacegleichung bzw. äquivalent dazu die Cauchy-Riemannschen Differentialgleichungen) auf diesen Hyperboliden und werden durch die Lage ihrer Singularitäten und die Topologie dieser Flächen (Zahl der Schnitte u. a.) beschrieben. Das topologische „Geschlecht“ der Riemannflächen wird durch g = w / 2 − n + 1 {\displaystyle g=w/2-n+1} gegeben, wobei in den w {\displaystyle w} Verzweigungspunkten der Fläche n {\displaystyle n} Blätter aneinandergeheftet sind. Für g > 1 {\displaystyle g>1} hat die riemannsche Fläche ( 3 g − 3 ) {\displaystyle (3g-3)} Parameter (die „Moduln“).
Der Riemannsche Abbildungssatz besagt, dass jedes einfach zusammenhängende Gebiet in der komplexen Zahlenebene C entweder zu ganz C oder dem Innern des Einheitskreises „biholomorph“ äquivalent ist.
Prompt: Create an abstract artwork featuring a dynamic explosion of colors, primarily vivid oranges and reds, with sharp, triangular shapes radiating outward. The texture should appear layered and three-dimensional, resembling crystalline formations or jagged peaks. The overall composition should evoke a sense of energy and movement, drawing the viewer into the vibrant interplay of light and shadow.
Prompt: "Create a stunning top-view plan of a visionary park design with an orthogonal form and triangular shapes. The plan showcases an abundance of trees, an award-winning concept that is loosely cropped to reveal its essence. This captivating layout features a green square with lush grass, intricate connections, and celestial gardens, all harmoniously blended to create a sense of innovation and uniqueness. The design includes elements like leaks and a triangular layout, adding a touch of artistry to the overall orthogonal composition. Imagine a front-page-worthy park blueprint that seamlessly integrates nature, artistry, and functionality in a top-view perspective."
Prompt: "Create a stunning top-view plan of a visionary park design with an orthogonal form and triangular shapes. The plan showcases an abundance of trees, an award-winning concept that is loosely cropped to reveal its essence. This captivating layout features a green square with lush grass, intricate connections, and celestial gardens, all harmoniously blended to create a sense of innovation and uniqueness. The design includes elements like leaks and a triangular layout, adding a touch of artistry to the overall orthogonal composition. Imagine a front-page-worthy park blueprint that seamlessly integrates nature, artistry, and functionality in a top-view perspective."
Prompt: "Create a stunning top-view plan of a visionary park design with an orthogonal form and triangular shapes. The plan showcases an abundance of trees, an award-winning concept that is loosely cropped to reveal its essence. This captivating layout features a green square with lush grass, intricate connections, and celestial gardens, all harmoniously blended to create a sense of innovation and uniqueness. The design includes elements like leaks and a triangular layout, adding a touch of artistry to the overall orthogonal composition. Imagine a front-page-worthy park blueprint that seamlessly integrates nature, artistry, and functionality in a top-view perspective."
Prompt: "Create a stunning top-view plan of a visionary park design with an orthogonal form and triangular shapes. The plan showcases an abundance of trees, an award-winning concept that is loosely cropped to reveal its essence. This captivating layout features a green square with lush grass, intricate connections, and celestial gardens, all harmoniously blended to create a sense of innovation and uniqueness. The design includes elements like leaks and a triangular layout, adding a touch of artistry to the overall orthogonal composition. Imagine a front-page-worthy park blueprint that seamlessly integrates nature, artistry, and functionality in a top-view perspective."
Prompt: A captivating dark fantasy artwork featuring a complex blend of geometric shapes and organic forms. The dominant element is a face-like structure on the left, composed of triangles and rectangles, with a distinct eye and mouth. A smaller, simplistic figure stands on a platform to the right, adding depth to the scene. The intricate lines and curves intertwine and intersect, creating a sense of movement and depth. The overall aesthetic is a mix of poster, painting, fashion, cinematic, typography, and 3D render, evoking a sense of surrealism and mystique., 3d render, typography, cinematic, fashion, poster, dark fantasy, painting
Dream Level: is increased each time when you "Go Deeper" into the dream. Each new level is harder to achieve and
takes more iterations than the one before.
Rare Deep Dream: is any dream which went deeper than level 6.
Deep Dream
You cannot go deeper into someone else's dream. You must create your own.
Deep Dream
Currently going deeper is available only for Deep Dreams.
