48-747 Shape Grammars !THE$PALLADIAN$GRAMMAR$language!→!style!←!shape!grammar!analytic(shape(grammars(are(intended(for(a(particular!style((criteria(for(authoring(a(successful(analytic(grammar(for(style(were(spelled(out(by(Stiny(and(Mitchell(clarify the underlying commonality of structure and appearance manifest for the buildings in the corpus; supply the conventions and criteria necessary to determine whether any other building not in the original corpus is an instance of the style; and provide the compositional machinery needed to design new buildings that are instances in the stylethe!sources!Andrea!Palladio!I"Quattro"Libri"dell’"Architetura"$The$Four$Books$of$Architecture,$$tr.$Issac$Ware,$1737$The$Four$Books$on$Architecture,$tr.$Robert$Tavernor$and$Richard$Schofield,$2002$Andrea!Palladio,(The$Four$Books$on$Architecture,(pp(56(tr.(Robert(Tavernor(and(Richard(Schofield(“And(though(variety(and(novelty(may(please(everybody,(one(should(not,(however,((do(anything(that(is(contrary(to(the(laws(of(this(art,(and(contrary(to(what(reason(makes(obvious;(so(we(can(see(that(the(ancients(also(made(variations,(but(they(never(departed(from(certain(universal(and(essential(rules(of(this(art,(as(we(shall(see(in(my(book$of$antiquities.”(exemplar!–!the!villa!Malcontenta!stages!in!shape!grammar!grid(definition(exterior(wall(realignment(room(layout(interior(wall(realignment(principal(entrances‐porticos(and(exterior(wall(inflections((exterior(ornamentation‐(columns(windows(and(doors((termination(the!stages!pictorially!8 termination 7 windows + doors 6 exterior ornament 5 entrances 3 room layout 4 realignment 2 exterior wall 1 gridsystem!of!measurement!A"vicentine"foot"“This(line(with(which(the(following(buildings(are(measured(is(half(a(Vicentine(foot([piede$vicentino].((The(foot(is(divided(into(12(inches(and(each(inch(into(4(minutes([minuto]”(Palladio,((pp.(79(grid!definition!axial"symmetry"“Rooms([stanza](must(be(distributed(at(either(side(of(the(entrance(and(the(hall,(and(one((must(ensure(that(those(on(the(right(correspond(and(are(equal(to(those(on(the(left(so(that(the(building(will(be(the(same(on(one(side(as(the(on(the(other(and(the(walls(will(take(the(weight(of(the(roof(equally;(…”(Palladio,((pp.(57(1.!the!rules!for!generating!a!tartan!grid!“There(are(seven(types(of(room(that(are(the(most(beautiful(and(well‐proportioned(and(turn(out(better;(they(can(be(made(circular([ritundo],(though(these(are(rare;(or(square([quadrato];(or(their(length((will(equal(the(diagonal(of(the(square([quadrato](of(the(breadth;(or(a(square([quadrato](and(a(third;(or(a(square([quadrato],(and(a(third;(or(a(square(and(a(half;(or(a(square(and(two‐thirds;(or(two(squares.”(1.!!grid!definition!2.!!exterior!wall!definition!3.!room!layout!3.!room!layout!4.!interior!wall!realignment!5.!principal!entrances!porticos!and!inflections!5.!principal!entrances!portico in antis portico prostyle5.!principal!entrances! a second portico in