Ornamatics_Exploration of Geometry

Ornamatics Final Presentation:

Exploration of Geometry Hyeonsu Yang | murmusic@gmail.com

Geometry (Ancient Greek: geo- "earth", -metria "measurement") "Earth-Measuring" is a part of mathematics concerned with questions of size, shape, relative position of figures, and the properties of space. Geometry is one of the oldest sciences.

-Wikipedia

Ornamatics Project 01: Digi-tile based on Origami Tessellation

Inspiration:

Definition:

A tessellation or tiling of the plane is a collection of plane figures that fills the plane with no overlaps and no gaps. One

may also speak of tessellations of the parts of the plane or of other surfaces. Generalizations to higher dimensions are also possible. Tessellations frequently appeared in the art of M. C. Escher. Tessellations are seen throughout art history, from ancient architecture to modern art.

Origami (ćŠ˜ă‚Šç´™?, from ori meaning "folding", and kami meaning "paper") is the traditional Japanese folk art of paper folding, which

started in the 17th century AD and was popularized in the mid-1900s. It has since then evolved into a modern art form. The goal of this art is to transform a flat sheet of material into a finished sculpture through folding and sculpting techniques, and as such the use of cuts or glue are not considered to be origami.

Examples:

Test 01:

Test 02:

Test 03:

Test 04: Origami Tessellations with inner patterns

Junction prototype 01 with one point joint

Junction prototype 02 with two point joints

Photos: Type 01

Photos: Type 01 - Folding methods of tiles

Photos: Type 01 - Partition wall as a Space divider

Photos: Type 01 - Pavilion

Photos: Type 01 - Temporal Structure

Photos: Type 01 - Facade

Rendered image: Type 01 - Pavilion

Rendered image: Type 01 - Pavilion

Rendered image: Type 01 - Pavilion

Rendered image: Type 01 - Pavilion

Photos: Type 02

Photos: Type 02 - Wall

Photos: Type 02 - Pavilion

Photos: Type 02 - Pavilion

Photos: Type 02 - Pavilion

Photos: Type 02 - Pavilion

Photos: Type 02 - Ceiling

Ornamatics Project 02: Column, Capital and Ceiling Design related to ‘Fibonacci number’

Geometry:

Geometric Patterns

Geometric Patterns

Fibonacci number in Nature:

Fibonacci number:

Diagram: 2D pattern to 3D shape

Phase 01:

Phase 02:

Phase 02:

Phase 03:

Phase 03:

Phase 04:

Phase 04:

Conparsion bwteen the model of phase 02 & the modified type

Phase 05:

Phase 05:

Phase 06:

Phase 06:

Alternative one is possible to print out.

Ideal!!! But, the size is the matter to produce the real one.

Alt 01: A littel modify about Alt 02: Make it more Alt 03: A littel modify about Alt 04: A littel modify about Alt 05: Just cut out of the Basic type by using Fibonacci the height and proportion of it like a normal column in the height and proportion of it the height and proportion of it bottom of it. number in order to cutting -Loft: Uniform terms of the proportion. -Loft: Loose -Loft: Tight out from the main body of the column

Modeling Process:

Creating Boundaries Rearrangment of the boundaries

Lofting 01: an outer shape

Creating One Curve line Copy, Paste & Rotate Extrude all lines

Lofting 02: an inner shape

Assembling geometies

Extrude: a ceiling structure

Cutting out from the Lofting shapes

Giving Thickness by using ‘OffsetSrf’

Cap the Ceiling structure on the Column

One element:

Rendered images

Rendered images

Rendered images

Rendered images

Rendered images

Rendered images

Photos: Product

Photos: Column, Capital, & Ceiling

Photos: Sculpture

Photos: Pavillion

Photos: Pavillion