3 Tetrahedra Compound - a Ray Tracer

Description

Raytraced Intersecting Polyhedra studio: https://scratch.mit.edu/studios/30286682/ https://en.wikipedia.org/wiki/Compound_of_three_tetrahedra The Cartesian coordinates of a hexagonal antiprism, centered on the origin and having edge length 2, are: (±1, ±√3, √2) (±2, 0, √2) (±√3, ±1, −√2) (0, ±2, −√2) My Ray Tracing Projects studio: https://scratch.mit.edu/studios/26312219/ Ray Madness - a super raytracing & raycasting studio: https://scratch.mit.edu/studios/25849210/

Instructions

* Project runs much faster in TurboWarp: https://turbowarp.org/530291133?turbo * Else use Turbo Mode! (<Shift> key + Green Flag) Press <1> to view in best resolution (slow) Press <2> for medium resolution (slowish) Press <5> for low resolution (fast) like starting picture The 3 differently coloured tetrahedra intersect each other so that each triangle face is partially in front of and partially behind several other triangle faces. This makes the object hard to draw. It is easier to raytrace to each point on the screen and find the closest of the 12 triangles that make up the 3 tetrahedra compound and colour the point to match. Compound of 3 Tetrahedra: https://en.wikipedia.org/wiki/Compound_of_three_tetrahedra The Cartesian coordinates of a hexagonal antiprism, centered on the origin and having edge length 2, are: (±1, ±√3, √2) (±2, 0, √2) (±√3, ±1, −√2) (0, ±2, −√2) A "Ray Tracer" traces rays from the viewer through each pixel on the screen and calculates which object it hits first in 3D space (ie. which object is closest). The pixel is coloured with the colour of that object. For a ray to each (x,y) point on the screen, the code checks if and where the ray intersects each of the triangles that make up the 3 Tetrahedra Compound. The Z Intersect coordinate is calculated for each triangle intersection. The (x,y) point on the screen is coloured with the colour of the triangle with its Z Intersect coordinate closest to the viewer. My Ray Tracing Projects studio: https://scratch.mit.edu/studios/26312219/ Ray Madness - a super raytracing & raycasting studio: https://scratch.mit.edu/studios/25849210/