Ornamatics_Exploration of Geometry

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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


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