MIROSLAV NEVLIDA TEXAS TECH UNIVERSITY 2012 / SPRING SEMESTER
N-2X180
PONGRATZ ARCH 5502
ADVANCED ARCHITECTURAL DESIGN STUDIO
1 2
1 3D SURFACE MODELING 2 PLASTIC RESIN COATING RUBBER MOLD 3
3
2
1 3
3
3
EXERCISE
2
2 1
1 2
POLLIBRICK SYSTEM BOTTLE STACKING
2 1
DESIGN STAGE 1 1
1
1
3 1
1 2 3
2
SHAPE VARIATIONS BOTTLE JOINTS BOTTLE JOINT DESIGN
3 2
DESIGN STAGE 1
2
DESIGN STAGE 1
3 1
1 2 3
2
CAMPANA BIRDS NEST HEDGEHOG DESIGN
3 2
DESIGN STAGE 2
2
3 1
1 2 3
3 2
ARAGON PAVILLION CORALS PYRAMID STRUCTURE
DESIGN STAGE 2
1
1
2
DESIGN STAGE 2
3 1
1 POLYHEDRA STRUCTURE 2 ORGANIC STRUCTURE 3 POLYHEDRA VARIATION
2
DESIGN STAGE 3
3 2
3 1
1 CORALS 2 POLYHEDRA MOLECULE 2 PIECE STRUCTURE 3
2
DESIGN STAGE 3
3 2
DESIGN STAGE 3
3 1
1 TRANSPARENT CHURCH URBAN NEBULA 2 N-2X180 DESIGN 3
2
DESIGN STAGE 4
3 2
N-2X180
1
2
90 °
° 60 11 0
°
3 CORNERS 3
10 8°
4 CORNERS
5 CORNERS
12 0°
6 CORNERS
129 °
7 CORNERS
51 ° 39
10 3°
°
22°
20° 38° 75°
82
°
2 TRIANGLES -> 360° 1 2 3
POSSIBLE PATTERNS REGULAR IRREGULAR
3 TRIANGLES -> 540°
4 TRIANGLES -> 720°
5 TRIANGLES -> 900°
POLYGON PRINCIPAL
THE SUM OF THE MEASURES OF THE INTERIOR ANGLES OF A CONVEX POLYGON WITH N SIDES IS (N-2)180
THERE ARE TWO TYPES OF POLYGONS: REGULAR POLYGONS - ALL SIDES HAVE THE SAME LENGTH AND ALL ANGLES HAVE THE SAME MEASURE IRREGULAR POLYGONS - RANDOM SETUP WITH MAINTAINING THE TOTAL OF ANGLES EQUALS (N-2)180 ALL 3 ANGLES IN A TRIANGLE GIVE TOGETHER 180° EVERY OTHER POLYGON COULD BE DIVIDED INTO TRIANGULAR SECTIONS AND EVERY SINGLE OF THEM HAS 180° OUT OF THAT YOU CAN FIGURE OUT THE ANGLE CONDITION FOR POLYGONS - THERE ARE ALWAYS 2 LESS TRIANGLES THAN THE COUNT OF CORNERS, SO YOU GET THE EQUATION FOR TOTAL OF DEGREES IN A POLYGON: (N-2)*180
30°
12
2°
106 °
90
°
142°
12
2°
150°
90°
°
81°
142°
81
106°
142
°
60
6°
°
°
2°
122 °
12
0°
12
90 °
90
°
81
10
81°
° 142
THERE’S A STACKING FLAW WITHIN RANDOM POLYGONS YOU CAN’T ALIGN THEM WITHOUT GAPS 90
°
106°
1 1 2
RANDOM ANGLE FLAW POSSIBLE ANGLES
ANGLE ISSUE
THE SOLUTION LIES UPON USING CERTAIN MULTIPLICATION OF BASIC ANGLE, THAT IS ALSO A DIVISOR OF TOTAL ANGLE IN POLYGON YOU WANNA CREATE IN OTHER WORDS YOU’D HAVE TO PICK A NUMBER THAT DIVIDES 180 WITHOUT ANY REMAINDER, HIGHER THE NUMBER GETS LESS VARIATION YOU RECEIVE POSSIBLE ANGLES: 90, 60, 30, 20, 18, 15, ... MY CHOICE: 30° ANGLES BUILT OUT OF 30 DEGREES: 150, 120, 90, 60, 30
2
12
0°
Z - UNIT
Y - UNIT
X - UNIT
30°
0° 15
° 90 90°
60 °
12 0°
120°
0°
90°
12
°
°
90°
° 60
°
30
30°
30°
90
150°
90
30°
°
° 60
12 0°
120° 30
30°
30°
30° 60 °
12 0°
150°
12 0°
60 °
150°
120 mm
120 mm
500 mm
240 mm
240 mm
285 mm 120 mm
1 1 2
420 mm
320 mm
3 SHAPES FORMING A SHAPE
2 1. CORNER POINT
POLYGON PRINCIPAL
2. CORNER ANGLE 540-90=450 90°
3. LINE LENGTHS + NEXT CORNERS
4. CORNER ANGLES + NEXT CORNER
90°
90° 150°
5. CORNER ANGLE +EXTENDING LINES
450-120=330 330-150=180
90° 150°
120°
180-120=60 120°
120° 60°
180°
0°
12
60
°
150°
°
90
SEATED UNIT ONCE THE UNIT IS SEATED IT DETERMINS ANGLES YOU CAN USE FOR STACKING ANOTHER UNITS, MIND THE GRAVIT
60
°
60
°
JOINING UNIT IS BEING PUSHED TOWARDS A MATCHING ANGLE
°
90
JOINING UNIT 1 1 2
2
STACKING
ANGLE USAGE STACKING ASSEMBLY
2
ROUND 2
ROUND 1 60°
ROUND 1
120°
180°
120° 60° 60
° 60
°
Y
ROUND 4
UNITS INTERLOCK THANKS TO GRAVITY ROUND 3
ROUND 2
ROUND 1
ROUND 1
FINAL PATTERN