Watch the fluid carry the particle
Bright probes mark nearby parcels of the same fluid. The gold particle and probes follow the same prescribed velocity field.
Moving fluid · 3D playback
One 3D coordinate box for the current instruction. Gold is the particle; teal marks are neighboring fluid parcels on the same moving Z slice. The glowing curve is the particle's traveled path through X, Y, and Z.
Drag to rotate. The few blue arrows show directions, not speeds; use Field arrows above to hide them. X/Y and Z are display magnified; the printed coordinates remain native.
Whole computing corridor · 3D
Native fluid pathThe gold particle travels through the actual X/Y/Z field. Each stacked layer is one instruction. Paired cyan and violet marks locate the carry 0 and carry 1 state lanes; numbered gold spots are completed tape codes.
How position becomes the calculation
IN MOTIONImagine ordinary column addition, using only 0 and 1. Each numbered gold spot is the end of one column. Between spots, the fluid is carrying the particle to its next readable position.
Example: 1 + 1 = 2. With 0/1 digits, write 0 in that column and carry 1 to the next.
X has lanes too · magnify the tape code
Each row divides a tiny X interval into 32 smaller slots. Gold marks the slot containing the particle's last completed code. The next row zooms 32× into that gold slot, revealing another digit. These widths are far too small to resolve in the whole-corridor plot.
See the exact native X/Y numbers and decoding
Equal-axis X/Y diagnostic
This camera follows the gold particle. X and Y use the same scale; the numbered grid shows the camera moving through fixed space.
Mathematics and display limits
Both main pictures are orthographic 3D coordinate projections, not photographs or a numerical 3D CFD solve. The gold point is the native particle at (X,Y,Z). Teal points are marked material parcels evaluated in the same prescribed velocity field. Their common Z plane is drawn transparently to locate them, not as a physical membrane or water surface. Unmarked fluid fills the box. The local view magnifies X and Y independently and maps each instruction's narrow active Z slices to more display distance. Its printed coordinate and velocity remain native. The corridor shows the native X/Y path against unwrapped spatial-clock position s; its screen scales differ by axis. The carry-lane marks are display guides at the Y positions of native state squares, not fluid parcels or rectangular physical regions. Z=0 and Z=1 are identified periodic faces, not endpoints of the fluid.
The display clock runs more slowly through the five active pulses followed by the particle and faster through other spatial slices. This changes only playback speed. Native particle and fluid-probe positions are evaluated at the same spatial-clock position on each frame. X/Y motion can be still between pulses even while Z advances. Dragging changes only the view angle. Probe marks fade as a new set is introduced. Fine cutoff return streams are not traced as points because their numerical integration is stiff at this scale.
The lower equal-axis diagnostic shows a 2D X/Y slice to make small offsets measurable. The numbered seam spots and calculation strip use the unchanged native digit decoder: native X encodes written memory and native Y identifies carry 0, carry 1, or HALT. Native X is a packed base-32 code, not a linear scale for the sum. Sum labels are attached only to valid completed instruction positions; intermediate routing positions have no decoded sum. These are views of an explicitly constructed three-dimensional Navier–Stokes solution; the fixed force, instruction table, particle update, and digit decoding are unchanged from the recovered viewer.