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Blog de Hqak (wxyhly)
2D Time World

2D Time World

In this article, we will imagine a universe with 2D time. Here, particles' trajectory are no longer world lines but world sheets in spacetime. What if there exists creatures in 2D time universe?
2026-07-07
Strange World Series
#Javascript #Fancy Imagination #Physics
Entrance Examination to 4D World

Entrance Examination to 4D World

If one day 3D humans had to pass a examination to obtain residency in the 4D World, would you be able to succeed? I created an online exam. Some questions are easy, while others are quite challenging.
2026-06-07
#4D #javascript #puzzle
Horoearth

Horoearth

The vessel Endeavour strays into a hyperbolic universe of extreme curvature and crash-lands on an infinite planet. An adventure into the geometry and an encounter with an alien civilization begin...
2026-02-21
Strange World Series
#Peculiar Imagination #Hyperbolic Space
4D World (XIII): 5D Spacetime

4D World (XIII): 5D Spacetime

This time, we'll explore the laws of the 4D universe - General Relativity in 5D spacetime (4 spatial + 1 time dimension) and the structure of rotating black holes.
2026-01-25
4D World Series
#Mathematics #4D #Physics #Tesserxel #Relativity
Coding Tesserxel (II): More About Scene/Rendering

Coding Tesserxel (II): More About Scene/Rendering

This article continues delves into rendering, rotation control, and advanced materials through a dynamic material and lighting scene, and a dice control example.
2025-09-13
Tesserxel Series
#4D #Javascript #Tesserxel #Graphics #Webgpu
Coding Tesserxel (I): Hello Hypercube

Coding Tesserxel (I): Hello Hypercube

Today we begin a new series introducing how to use the 4D graphics engine Tesserxel to write your own 4D scenes. This is aimed at readers who already have some coding background, have worked with Java
2025-08-27
Tesserxel Series
#4D #Javascript #Tesserxel #Graphics #Webgpu
4D Space (XV): Plane State Space (Part 2)

4D Space (XV): Plane State Space (Part 2)

This article introduces the representation of lines and cells in the state space to solve plane-cell and line-plane angle range problems. This article also introduces how 4D rotations correspond to tr
2025-07-26
4D Space Series
#Mathematics #4D #Geometry
4D Space (XIV): Plane State Space (Part 1)

4D Space (XIV): Plane State Space (Part 1)

This article defined an abstract plana state space for easier geometric visualization of angles between planes, extending angles from acute to real number. A simulator explores their possible ranges.
2025-06-28
4D Space Series
#Mathematics #4D #Geometry
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