Biology Studies / No. 010

BuddingYeast.

A mother and her bud.
A little wobble.
Cut it open to look inside.

Key

Click to hide · Shift-click to isolate · Hover to find it

WebGPU · Starting

Mass—pg
Volume—% of rest
Kinetic—µJ
Pieces—

Mass is the real cell's, at 1.1 pg/µm³. The dynamics are illustrative: the cell moves as if it were a few centimetres of gelatin, because at true size a cell is far too small and viscous to wobble. Volume and energy are summed live over every tetrahedron.

Inside the experiment +

The specimen

A cell made of tetrahedra

Each cell is a signed distance field: ellipsoids, tori and tapered tubes fused by smooth unions (for yeast, a mother and a bud meeting at a narrow neck). That shape is filled with a body-centred cubic lattice of tetrahedra, clipped to the surface, with boundary particles snapped onto it. It is solved with XPBD at a fixed 60 Hz step split into 12 substeps. Each tetrahedron is pulled, with finite compliance, toward its best-fit rotated rest shape. That co-rotational constraint also flips inverted elements back out. A volume constraint on either side of it keeps the cytoplasm close to incompressible, so a stretched cell necks in.

Every tetrahedron knows what it sits in. Wall and cortex, the nucleus and stress fibres are stiffer than cytoplasm; the yeast wall is four times stiffer. Damping acts only on relative velocity along mesh edges, so the cell still falls and tumbles freely while its wobble dies away.

Cutting

Your stroke fixes a vertical blade plane. For each piece it crosses, the piece's current pose is fitted with a best rotation, and the plane is carried back into rest space. Each side becomes a new piece: the cell's signed distance field intersected with its half-spaces, rebuilt as a fresh tetrahedral mesh. The knife then presses a groove, breaks through, and hands every new particle the position and speed of the flesh it came from. The blade wedges the faces apart on its way down.

Deformation

The Deformation view colours each point by its mechanical strain: the Green–Lagrange strain of the tetrahedra around it, which is the part of the deformation left once rotation is taken out. A cell that is only tumbling stays dark; pull it and the colour gathers where it stretches or is squeezed. The field is averaged onto the particles and carried to the surface by the same barycentric weights as the skin, so knife faces show it inside too.

Seeing inside

The skin and the organelles (nucleus, nucleolus, vacuoles, a cortical mitochondrial network, the septin ring) are separate meshes. Each vertex is pinned to a tetrahedron by barycentric weights, so they all wobble together. Every vertex also remembers its rest position. A knife face looks up the anatomy's distance fields at that position, so it shows an exact section through whatever organelle lies in the plane, membranes included.

Light through jelly

WGSL shaders draw the floor, organelles and knife first. Then, piece by piece from back to front, they draw the jelly's back faces to measure how much cytoplasm each view ray crosses. The front faces refract what lies behind by that thickness and absorb it with Beer–Lambert colour. They add a milky wall film, a thin-edge glow, Fresnel reflections of a procedural studio and GGX highlights.

After “Melon Jelly” (Material Studies No. 009). Anatomy is stylised but proportioned after S. cerevisiae.