Architectural Informatics 2 |
AutoCAD 3D·1 • Basic Modeling |
Digital Representation |
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Create the following vaults and spires over 4×4×3 sized box elements.
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1. Cross and cloister vaults, sail vault, dome on pendentives
![kereszt- és kolostorboltozat](cad3d1a-kerkolbt-.png)
Create a cross vault as the union of two semicylinders and a cloister vault as the intersection of two semicylinders.
![függőkupola](cad3d1b-fuggokpl-.png)
Create a sail vault as the intersection of a box and a sphere. Create the dome on pendentives by decreasing the height of the box and placing a hemisphere on the top of the resulting pendentives.
2. Cross-gabled roof, pyramid, base-truncated pyramid
![keresztnyereg és gúla sisakok](cad3d1c-csigulsk-.png)
Create a cross-gabled roof as the union of two prisms of regular triangle base and pyramid as the intersection of two prisms.
![csürlős sisak](cad3d1d-csurlosk-.png)
Create a rotated base-truncated pyramid as the intersection of a box and a pyramid.
3. Composite spire
![kompozit sisak](cad3d1e-kompozsk-.png)
Create a truncated pyramid as the intersection of two pyramids of square base.
Create a spire as the union of this truncated pyramid and a pyramid of regular octogon base.
![konkáv sisak](cad3d1f-konkavsk-.png)
Further examples:
Spire-Polyhedra,
Journal for Geometry and Graphics,
11/1, 111–126,
2007.
Strommer L.
• BME Department of Architectural Representation