Interrelationship of Forms

 

Intersection

By Lister Mendoza

Pr7

The “intersection” sketch shows two triangular forms meeting at a single shared point, marked by a solid black triangle. This moment of connection becomes the focal area where the forms interact most intensely. The intersection demonstrates how shapes can influence each other by sharing space, creating new visual interest and tension at the meeting point. It highlights the idea that when forms intersect, they do not exist independently but instead create new relationships, meanings, and shapes. This sketch effectively illustrates how intersection can activate a composition and draw the viewer's attention to the area where forms collide.

Coinciding

By Lister Mendoza

Pr7

In the “coinciding” sketch, the triangular shape appears as one unified form, even though it represents multiple shapes occupying the exact same space. This merging creates a strong sense of unity and harmony, removing any visual conflict or separation. The forms lose their individuality to become a single cohesive figure, showing how coinciding can simplify a composition while still conveying depth. This sketch demonstrates how forms can share meaning and identity when they fully overlap, emphasizing the role of unity and integration in the interrelationship of form.

Detachment

By Lister Mendoza

Pr7                                                                     The “detachment” sketch presents two triangles separated by open space, showing a clear independence between the shapes. The negative space between them becomes an important design element, emphasizing their separation and individuality. This arrangement communicates clarity, balance, and distinction, as each form stands on its own without influencing the other. The sketch reveals how spatial distance can shape the viewer’s perception of forms, demonstrating that relationships are defined not only by contact but also by intentional separation. Detachment highlights how spacing can create a calm, organized, and structured composition 

overlapping

By Lister Mendoza

Pr7

The “overlapping” sketch shows two triangles partially covering each other, creating a layered interaction. This overlapping creates depth, visual hierarchy, and movement within the composition. The shared overlapping area becomes a point of interest, showing how forms can interact without fully merging. This arrangement demonstrates a more dynamic relationship than detachment, but a less unified one than coinciding. The sketch reveals how overlapping forms can create a sense of foreground and background, making the composition more spatially engaging. It shows how form relationships can create complexity and richness simply through partial contact.

Touching

By Lister Mendoza

Pr7.    

The “touching” sketch shows two triangular shapes meeting precisely at one point along their bases. This small point of contact creates a subtle but important relationship between the forms. Although the triangles remain fully independent, the act of touching introduces a sense of connection and interaction. It suggests the beginning of a relationship without merging or overlapping. This sketch highlights how even minimal contact between forms can influence unity, balance, and visual flow within a composition. The shared point becomes a delicate anchor that guides the viewer’s attention and establishes a gentle link between separate shapes.

Union

By Lister Mendoza

Pr7

The “union” sketch shows two triangles whose shapes merge into a single, shaded mass. In this arrangement, the individual forms combine to create one more dominant structure, emphasizing unity and cohesion. The boundaries between the triangles fade as the shading blends them together, showing how union removes separation and produces a collective identity. This design communicates stability and togetherness, illustrating how merging forms can strengthen visual impact and convey harmony. It demonstrates how the interrelationship of form moves from independence to oneness when shapes occupy the same space and become inseparable.

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Penetration

By Lister Mendoza

Pr7

In the “penetration” sketch, the two triangles overlap in such a way that one shape intrudes into the space of the other, forming a small solid black area. This overlap creates a strong visual tension because one form appears to push into or enter the other. The darkened intersection becomes a striking focal point, symbolizing interaction, conflict, or dynamic exchange. Penetration reveals how forms can alter each other through intrusion, creating new shapes, meanings, and points of emphasis. It shows that the interrelationship of form is not always harmonious—sometimes it is energetic, forceful, and visually charged.

Subtraction

By Lister Mendoza

Pr7

The “subtract” sketch presents one shaded triangular form and a second dashed outline that suggests a shape has been removed or taken away. This visual subtraction creates a powerful sense of absence and implies that part of the original form has been carved out or separated. The contrast between the solid and dashed lines highlights the difference between presence and void, showing how negative space becomes just as meaningful as the form itself. This sketch illustrates that subtraction can redefine a composition by emphasizing what is missing as much as what remains. It demonstrates how form relationships can communicate reduction, loss, or change within a visual structure.

Touching + Union + Detachment

By Lister Mendoza

Pr7

In this drawing, I experimented with how shapes can connect and separate within the same space. The touching forms on the left show how shapes can feel linked or part of a pattern. The center triangle, however, is completely detached, which makes it stand out as the main focus. The union of the border shapes creates a frame that makes the whole drawing feel connected. Overall, this piece helped me understand how touching and detachment create contrast, and how union can bring everything together visually.

Union + Detachment + Coinciding

By Lister Mendoza

Pr7

For the second drawing, I focused on how multiple small shapes interact with one main form. The triangles around the page overlap, touch, and fill the space in a way that creates rhythm and movement. The center triangle feels different from the others because of its texture and size, making it the focal point. This drawing showed me how overlapping and repetition can create visual energy, and how one shape can stand out even when surrounded by many others.

Penetration + Intersection + Union

By Lister Mendoza

Pr7

The spiral drawing was my way of exploring more complex interrelationships like penetration and intersection. The shapes inside the spiral cut into each other, intersect, and share space. Because the forms repeat and stay connected, they create a strong sense of unity. This design helped me see how shapes can pass through each other and still look organized, and how union can keep everything feeling like one complete system.

Subtraction + Overlapping + Union 

By Lister Mendoza

Pr7

In the final drawing, I focused on subtraction by removing shapes from inside the main triangle. The cut-out forms create interesting negative space, which makes the triangle feel more dynamic. The overlapping of the small shapes adds depth, and the union of the border around the page brings the composition together. This piece helped me understand how subtracting shapes can be just as powerful as adding them, and how different interactions can change the mood of a simple form.