voxel builder Interactive voxel approximation of the three Skwedge species
k = π/2
↗ plotz.co.uk
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Block Builder Guide

  • Species buttons: switch between the three skwedge types
  • 3D / 2D: toggle between the full model and a single layer view
  • Layer arrows: (on the right of the viewer) step through layers one at a time in 2D mode
  • Diameter: change the size of the model using the - and + buttons
  • Zoom: zoom in and out
  • Rotate: spin the 3D view
View
Species
Diameter 51
Zoom ×0.5
Volume Comparison
cylinder-
πR²h
I curvum-
k = π/2 ≈ 1.5708
II convexum-
k = (π+2)/3 ≈ 1.7140
III projectivum-
k = π−4/3 ≈ 1.8083
disparity-
(projectivum − curvum) / projectivum
exact: 13.13%
apex: line segment
V = k · R²h
(R = base radius, h = height)
Block count approximates volume.
Increase size for better k estimates.
◀ Use the layer slider (right edge) to view 2D cross-sections from base circle to apex line.

Built on Plotz

This Block Builder is powered by open source code from Plotz (plotz.co.uk), originally created for building geometric shapes in Minecraft®. Plotz has helped countless builders turn math into something you can see and touch. We are grateful for their contribution to the open source community, and for making this adaptation possible.