The sandbox below is a generic island. Each numbered drawing has its own model and physics page.
PARAMETRIC STONE ASSEMBLY / 3D
Drag to orbit · scroll to zoom · arrow keys also work
NET STONE VOLUME—Top + selected ends
STONE MASS—Density × volume
WEIGHT FORCE—Mass × standard gravity
FOUND SLAB LAYOUT—Shelf search · full blanks
→× ρ× g
SAME GEOMETRY / DIFFERENT DENSITY
Change the material.
The geometry stays fixed in this comparison. Only the reference density changes.
Surface patterns are illustrative and do not identify a supplier's product. A denser stone has more mass for the same volume; its strength is a separate property.
CHANGE ONE PARAMETER
Explore thickness.
Change thickness above and compare the 20 mm and 30 mm cases. Overall height stays fixed, so end-panel heights change too.
Save a baseline, then edit an input to see the difference.
TRACE THE RESULT
Calculation record.
Displayed values are rounded; calculations use full precision. Geometry assumes uniform thickness, a centered rectangular sink opening, square corners, and butt joints.
FULL BLANKS / SLAB ALLOCATION
Will the pieces fit?
Shelf search includes edge trim and kerf gaps. It does not prove globally optimal nesting or include defects, grain matching, seam choices, or saw access. Remaining area may be reusable.
Keep the geometry and the reasoning.
Download your current design as flat DXF outlines, STL/OBJ meshes, or a calculation report with units, inputs, material source, and assumptions.
Standard gravity: 9.80665 m/s², NIST. The Moon example uses approximately 1.62 m/s², NIST. Changing gravity changes weight, not mass.
This practice model awaits verified project dimensions, student CAD reconstruction, and fabricator review. It estimates geometry and material quantities. It does not assess stresses, support adequacy, safe handling, or installation.