The Design of Space Based on Architectural Geometry

Aim of expressional space is to facilitate the public to explore their hobby and talent in autodidact. The space for expression in Makassar City is necessary for the mural artist and the youngsters who has a hobby to play a skateboard. Their talent is insufficient attention by the government and create negative attitude because there no space to accommodate their activity. Therefore, this paper presents a design idea of expressional space by implementing the architectural geometry. The architectural geometry design principle is based on simple geometry form application as a realization of form from the space. An experience of the space for the user realizes by the relationship between the space and the interaction with the environment through geometry and form processing as the basic of the creation process in the architectural works. Content analysis method providing a landscape layout and transformation of form and building mass in form of the implementation of architectural geometry principles. The principles are pure geometry, composition of geometry, direction wall, and opening for the transformation process of expressional space form to produce and increase aesthetic value of the environment.


Introduction
The definition of architecture based on the book of Hybrid Space is "The art or science of building; specify: the art or practice of designing structures and esp.inhabitable ones" [8].This definition sharply defines the architecture as an art.An art definitely addresses to deliver something with aesthetic value.Kimberly Elam expresses "Architecture has some of the strongest educational ties to geometric organization because of the necessity for order and efficiency in construction, and the desire to create aesthetically pleasing structures" [3].She explained the architecture has a strong relationship with a geometry.One of the connection between architecture and the geometry is aesthetic value.Therefore, it is not surprisingly if more service in architecture currently popular, such as building architectural service, landscape architecture, city architect, and etc.
According to the definition, the geometry is one of an element to present an aesthetics value in architectural works.In fact, in order to create the aesthetic value, then the architecture work should follow the geometry principles.This principle will define the result of the architecture form.One of the example in geometry principles is a golden section.
A roman architect, Marcus Vitruvius, explained the developer must always practice the precise ratio in the development of a temple, he stated "for without symmetry and proportion, no temple can have a regular plan" [7].Every existing temple at that time must practice the golden section rule.
As a result, the form of the most temple at that time are quietly similar and standard.According to the limitation of the golden section rule, the architects are certainly limit their creative ideas, and architecture diversity at that time are limited.
"The purpose of geometry of design is not to quantify aesthetics through geometry but rather to reveal visual relationships that have foundations in the essential qualities of life such as proportion and growth patterns as well as mathematics.Its purpose is to lend insight into the design process and give visual coherence to design through visual structure.It is through this insight that the artist or designer may find worth and value for themselves and their own work" [3].Kimberly Elam description on the geometry function explained that the geometry has relevant function to express the visual relationship of an object based on its proportion and also the development pattern of the object.
The geometry function is also practiced by the architect on the building architecture where the painting and the building without geometry principles are consider had no aesthetic value at that time.Many paintings and forms without geometry norm but the works may categorize as an aesthetic works.Obviously, the geometry rules in a design would limit the result of design variation.Other than the application of geometry as visualization relationship and a proportion of an object, geometry has a function as a norm to present a size in a building and shape.
Geometry is one of mathematics science that implemented in architectural world and one of branches of science that associated with size, composition, and proportion.One of chapter in essay of Dr. Joachil Langhein stated that "Proportion as a guiding pattern for establishing beauty."Moreover, the proportion has close relationship with geometry, even non-geometry procedure possibily presenting a proportion.Proportion in geometry related on symmetry that control axis reflection, rotation, stretching, and etc. Geometry presents because of proportion and building symmetry.A geometry with symmetrical element providing a beauty in a building.According to Mangunwijaya definiton, "Beauty is a matter of subjective.A culture of humanity will define the standard of a beauty based on their community (Dayak or Buginese ethnic group probably will have different understanding in the definition of beauty), Their definition in beauty would provide from from a generation to generation and create a specific 'beauty' mindset.A traditional building architectural aesthetic is one of the origin the culture [6].
Mangunwijaya interpret a beauty is from a cultural, the traditional building.Additionally, more definition about a freedom in expression in the context of geometry is: Every people who follows design processing will present a difference product, even they have equal trigger.A diversity that exist in respective products is one of illustrative example in term of 'freedom of expression' [6].This freedom refers to an understanding where the geometry is not binding a freedom of expression in architecture.This definition draws a conclusion where the geometry principle in a design understanding could restrict the result of design variation.This understanding has been changing along with the exploration of form, function, and various expression of architecture with the application of geometry.
Finally, we will return to the basic of architecture.Mangunwijaya in the book of Wastu Citra, writes about: "Berarsitektur or how to make an architecture is a language in terms of space and aspect or gatra, along with line and plane with a material and ambiance.We should create a proper architecture according to the culture, accompanying the feelings and responsibility in the application of a proper architectural language."A beauty in architecture is the architecture that aware on the value-in use, following the aesthetic value as spiritual level inside the design.The result is not only a product that placed as "a statue", but the result is something that should meaning investigation or the three of the dimensions (or even the fourth dimension) [6].Geometry never limit the expression in an aesthetic, in fact geometry offering a freedom in language of space, line, plane.
Briefly, geometry would present a beauty in architectural art either in form of place or as an ornament and symbol.Geometry could represent an expression in a space.A difference in respective space function frequently explained with a different expression, in other word the function would produce expressional form.Generally, expressional space is an accessible public area for all society.The public area is part of an environment that completed with a pattern and function as a socialization and communication area between the society.Principally, the public area would define as a place to facilitate specific activity or interest for the people either individually or in community.
The existences of expressional space have an influence for the economy development and social conflict that occur inside the youngster, because the expressional space become a facility to express their interest and individual skill.Examples of the activities in terms of hobby are skateboard attraction and mural arts.Skateboard attraction and mural art are the activities that heavily consume more physical and thinking.These activities become a popular activity in the metropolitan city of Indonesia, includes the Makassar city.
The existences of skateboard and mural community become a complement activity in Makassar city.However, activity of this community sometimes practices in inappropriate public area, an area for specific purposes such as in the main street with a heavy traffic.Their activity, frequently become blocking the traffic, for example we could observe below the highway of fly over and Riburane street near the Makassar City Hall.This phenomenon becomes one of the problem as a result of insufficient of a space for the community to express their skateboard and mural activity.Consequently, a traffic jam and some public facility are broken cause inappropriate usage.
According to this phenomenon, an idea hit upon to create an open space to facilitate the skateboard and mural community in Makassar city to limit the problems of street dysfunction and vandalism in public facility in some area of Makassar city street.The design of the public area expected would become a space for the skateboard community to express their hobby.Additionally, the mural community would have benefit, exhibit, and sells their art works.Moreover, the result would bring an increasing in creative economy sector for the Makassar youngster.Moreover, the aim of the design would welcome the existences of skateboard and mural community in Makassar city and these communities could socializes with the society.As an open space to facilitate the sport and art community, then the inspiration of space conceptual is architectural geometry concept that emphasize the space aesthetic art.

Materials and Methods
The research material used is site observation data about potential condition and land suitability for arts and sports area.Then, the data is processed using content analysis method [2].Content analysis approach conducted in this study to realize the result of the design with architectural geometry application.The design methods of this study are: 1. Literature study, in forms of data collection on architectural geometry, expressional space, and space requirement and standard to facilitate the skateboard attraction and mural art. 2. Observing the site plan, collecting a series of activity information on skateboard and mural community, characteristic of the skateboard and mural community, characteristic of pubic area in Makassar city as a site plan to support a successful in the design of expressional space.3. Analysis in design approach, identifying the architecture component of geometry [5], includes: a) Geometry principles, include an explicit composition of geometry form which are the pure geometry forms in terms of square, rectangle, circle, and triangle.b) Composition of geometry, a shape of geometry is not absolute therefore the form is part of the transformation process, a form transformation may understand as a result variance from existing basic forms manipulation.c) Direction Wall, consist of wall to cover a space and building, sometimes the wall may refer as a building envelope.The wall is one of important element to present a form of a building.The wall visual is dominant rather than the element of floor and roof plane which are parts of the building envelope.d) The opening, there is a close relationship between the opening and the wall.The visual space quality certainly determines by the opening.For example, the wall opening organization would produce a reflection of illuminance.Generally, the opening will frame and receive the landscape view enjoyment from the interior area, as part of inside and outside confrontation [4].The opening may identify as a large opening, as result from size reduction form or vertical opening of the building mass volume and also an opening from the interval between every wall surface.4. Concept formulation, applying the configuration of expressional space with the implementation of the architectural geometry principles that integrated with a site plan environmental aspect.Architectural geometry principle emphasizes building aesthetic and high-quality of the environment.5.The result of the design, in form of expressional space draft with the application of architectural geometry that presenting an expressive and innovative model for public area.

Pure geometry
The site pattern created from the combination of pure geometry shapes, such as square, rectangle, circle, and triangle.Each of pure geometry shape will synchronize with the function of the facilitated activity.The square shape representing the supporting facility area and mural area; the rectangle shape representing as a skateboard attraction area, field, Bosowa sport centre, and management office; the circle represents a rounded plants area and fountain spot; the triangle represents the triangular park area, parking area, and mural area.The shape of pure geometry organizes carefully to create and improve the aesthetic value of the site plan.The combination result of pure geometry shapes, square rectangle, circle, and triangle, describe in Figure 1.

Geometry composition
As describe in Figure 1 and Figure 2, there is a form transformation as a result variances of existing basic shapes manipulation, such as the combination of rectangle and triangle shape and the combination of square and triangle shape.The processes of basic form manipulation are: -Composition 1: -Composition 2: There is a complex form composition in the site plan design in the mural area at the front of the entrance.The composition shapes are square, triangle, circle, and rectangle shape that creates a pure geometry form.In addition, there is a separate part of pure geometry form, but the form has been transforms.

Pure geometry
There are mass buildings in the site plan design, a sport center and skateboard area.These areas supporting with infrastructures, such as management office, cafeteria, Mushallah, and other infrastructures.The building shapes consists of rectangle and circle as the basic form, based on the skateboard formation which distorted into the main building form idea in the site plan design.Additionally, the main building facade has geometry pattern implementation to strengthen the geometry concept as a design approach concentration.Geometry pattern in the facade are consist of circle, triangle, and square as the basic forms.

Geometry composition
The building formation is similar with a rigid box of rectangle completed with a massive wall that covers the entire building.The transformation of rectangle and circle pure geometry form gradually has a transformation even categorizes as a simple transformation form.The form is a result of metaphor process from a skateboard form.Moreover, the final result of the building design adapted the traditional house of Makassar Bugis tribe.According the structure, the vertical building consists of foot, body, and head of building.As a result, vertically, the main building consists of three main parts as similar with the traditional house building of Bugis, with three structures (foot, body, and head of building).According to the building ground plan, the square and rectangle structure are intersection.The free-standing wall of the building is intersection from one space to another space and create the interlocking entrance area.The free-standing wall positioning with similar pattern creates an interior room with an opening in the wall as illuminance area receiver.The geometry composition is a simple transformation form but the composition creates a visual interaction inside and outside of the building.

Direction wall
Basically, the function of the wall is the cover of a space and building, and part of building envelope.According to Tadao Ando, walls are the most basic elements of architecture, a border between the interior and exterior, but at the same time wall can also be the most enriching element that would transform the form of a place and creating a new form or new space [1].
Wall is an important element to present a form of a building because the wall is visually dominant rather than the ground plane and the roof plane, which are also the building envelope element.The floor is not directly visualized because the floor area is hide by the wall and the roof plane usually a flat cover plane.The sport centre main building, the wall positioning is dynamic to create and divided the space, function as a direction wall of movement or user circulation line of the building, although specifically the circulation track impression is fairly simple other than the building entrance towards to other rooms inside the building, in form of straight line.
The sport centre building exterior wall includes and covers most of the part of the site.The building contains the glass material to support the visitor to enjoy two atmospheres simultaneously, the indoor with modern vintage ambiance and a fascinating outdoor view (collaboration between mural art and the park).The glass material is from geometry pattern with triangle and square form combination.The opening and wall in the sport centre main building design are two closely interrelated parts, because the visualization room quality exactly determined by the opening.The opening becomes the part that organize on the wall panel to create illumination possibility in natural ways.Most of the opening is to frame and receive the landscape view in order to enjoy from the interior room and also as a inside and outside confrontation.Indoor expressional space, an opening in form of vertical and large opening in building mass volume and an opening from the interval of wall surface.
The third floor has opening in the wall panel continuously to provide a natural illumination inside the building and improve the quality of space.These openings are located in every side of the building.This is one of the effort to gain a benefit of landscape condition around the building as the supporting aesthetic element from inside the building.In addition, the second floor have a touch of glass material opening to include the illumination element as a lighting in transition area from inside into the outside or vertical opening.The second-floor opening will frame and presenting landscape view around the building (vista), such as park and mural art display as a technique to combine the inside and outside of vertical opening.A patterned-glass material creates a reflection with geometry forms.

Discussion
The site pattern is designed using the basic principles of geometric architecture which is implemented gradually from the shape of pure geometry covering triangle, square, rectangle, and circle.Furthermore the basic form is modified into a new pattern in which transformation even categorizes as a simple transformation form.
Basically, the site plan area categories into three functional area, skateboard attraction area, mural area, and infrastructure for skateboard and mural areas.Skateboard attraction area indicated by a blue color in Figure 2 and located in two different areas, side of the main building of Bosowa sport center and on the other sider of mural works exhibition display which is located in the main street of site plan area.Decision of skateboard attraction area location is based on the accessibility reason, creating an accessibility for the visitor.Consequently, the skateboard area is located in parking area as the strategic area.As well as the mural area, the area is located in two different areas which are along the site border in form of high wall.The wall functioned as mural media and another area is located right in the entry point of the site.As a result, the visitor who enter the site will directly experience a mural art atmosphere that emphasizing the architectural geometry principles in expressing an aesthetic value.
In the main building, geometric shape visible on the buildings facade with a patterned-glass material.The pattern comes from triangular and square shapes with a color degradation aims to producing shadow geometic pattern which dynamic in the direction movement of the sun shadow.While, the covering wall of space in the building is made simple with a grid pattern formed from the arrangement of square and rectangular shapes for maximize the use of space for various activities.
So the resulting design is able to create a balance between complex form composition of art mural display and simple spatial layout patterns.Although the geometry form is applied quite simple but the application of architectural geometry principle emphasizes building aesthetic and high-quality of the environment.

Conclusions
Geometry form would generate an aesthetic architecture art, either in form of space or as an ornament.Geometry could represent an expression in a space.Therefore, geometry will produce an expressive form.The geometry design principles -in form of pure geometry, composition of geometry, direction wall and opening-are a representative form that explained in form of the idea in expressional space design.The design idea is an architecture works that combine basic form variations, square, circle, rectangle, and triangle.These forms carefully organize to create and improve the aesthetic value of the area.The presentation of geometry form is fairly simple but variety.As a result, the creation of circulation pathway is also simple.The circulation track creates by the direction wall.The application of simple geometry form is an effort to maximize the space as an area for skateboard attraction activity inside the building.Moreover, most of the opening building part is vertical opening with standard of building user eye level.Patterned-glass material opening produces a harmonic geometry shadow formation.

Figure 1 .
Figure 1.Combination of pure geometry shapes, square, rectangle, circle, and triangle are a basic of site plan layout pattern formation for expressional space.

Figure 2 .
Figure 2. Allocation of space function based on activity types of the area.

Figure 3 .
Figure 3. Realization of expressional space with the application of pure geometry shapes element.

Figure 5 .
Figure 5.The skateboard basic form consists of rectangle and circle forms.

Figure 9 .
Figure 9. Geometry pattern in the exterior wall

Figure 10 .
Figure 10.Opening in the main building Opening in the third floor Opening of the second-floor building with a patterned-glass material Preprints (www.preprints.org)| NOT PEER-REVIEWED | Posted: 23 April 2018 doi:10.20944/preprints201804.0291.v1