top of page

50 Directions of the VE

view_VE_02c copy.jpg
Screen Shot 2022-09-15 at 12.21.48 AM.png

12 White Directions

From center to outside corners

8 Blue Directions

From center to center of triangles

6 Green Directions

From center to center of squares

24 Yellow Directions

From center to midpoint of edge

62 Directions of the Icosahedron

Screen Shot 2022-12-14 at 3.18.12 AM.png

12 Red Directions

From center to outside corners

20 Blue Directions

From center to center of triangles

30 Green Directions

From center to midpoint of edge

62 Directions of the Dodecahedron

Screen Shot 2022-09-14 at 3.06.33 AM.png

12 Red Directions

From center to center of the pentagons

20 Blue Directions

From center to outside corners

30 Green Directions

From center to midpoints of the edge

  50 Directions of the Cube

Screen Shot 2022-12-04 at 3.54.13 AM.png

12 White Directions

From center to edge's midpoint

8 Blue Directions

From center to outside corners

6 GreenDirections

From center to center of square face

24 Yellow Directions

(Connecting midpoints creates a smaller square)

From center to midpoints of smaller square

50 Directions of the Tetrahedron

Screen Shot 2022-09-14 at 3.11.37 AM.png

12 White Directions

From center to midpoints of 1/2 triangle

4 Blue Directions

From center to outside corners

4 Blue Directions

From center to center of triangles

6 Green Directions

From center to midpoints of edge

12 Yellow Directions

From center to midpoints of 1/4 triangle

12 Yellow Directions

From center to 1/4-3/4 Division of edge

The tetrahedron and octahedron have a deep interconnectedness (synergy) among their essential parts. Their directions combine with a fractal pattern that divides the triangular faces into 1/2, 1/4 and 1/8 patterns.

50 Directions of the Octahedron

Screen Shot 2022-09-15 at 2.13.13 AM.png

12 White Directions

From center to midpoints of edge

8 Blue Directions

From center to center of triangles

6 Green Directions

From center to outside corners

24 Yellow Directions

From center to midpoints of 1/4 triangles

Here is a beautiful example of what I call Nature's effectiveness definition. There is a ingenious balance between choice and usefulness. A pattern's integral parts are reworked in a wide variety of ways to solve the structural problems of each system. Each version is interconnected with all other versions creating a synergetic whole system.

bottom of page