Two trefoils on a torus

sketchfab

A mesmerizing three-dimensional shape unfolds before our eyes: two interconnected trefoils nestled within a torus. Crafted using the antiprism command, this intricate design is brought to life by a sequence of expertly executed commands. The process begins with unitile2d -s t -w 48 -l 18 -S 0,12 -R 10 -r 5, which sets the stage for the trefoil's emergence. The wythoff -c j command then takes center stage, weaving a complex tapestry of geometric patterns. Next, the wythoff -p [V]0VFE command adds an extra layer of depth and dimensionality to the design, as if infusing it with a hidden energy. Off_util -Kf1 follows suit, subtly transforming the shape's contours while maintaining its underlying structure. A 90-degree rotation in three-dimensional space is then applied via off_trans -R 90,0,0, giving the trefoil a fresh perspective. Poly_kscope -s C2 expertly captures this new view, rendering it in stunning detail. Finally, off_color -f U -e F -v F adds a pop of color to the design, while antiview -x f -v 1 -e 1 brings everything together, animating the trefoil's dance within the torus. The result is a captivating visual feast that invites us to explore its intricate beauty. Animation available at: http://www.antiprism.com/misc/trefoil_rev.gif