Architectural Informatics 2 |
AutoCAD 3D·1 • Basic Modeling |
Digital Representation |

Create the following vaults and spires over 4×4×3 sized box elements.
(*source*)

## 1. Cross and cloister vaults, sail vault, dome on pendentives

###### Create a cross vault as the union of two semicylinders and a cloister vault as the intersection of two semicylinders.

###### 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

###### Create a cross-gabled roof as the union of two prisms of regular triangle base and pyramid as the intersection of two prisms.

###### Create a rotated base-truncated pyramid as the intersection of a box and a pyramid.

## 3. Composite spire

###### 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.

Further examples:
Spire-Polyhedra,
Journal for Geometry and Graphics,
11/1, 111–126,
2007.

Strommer L.
** • BME Department of Architectural Representation**