Created on 2024-02-06

The image is a hand-drawn sketch with several geometric figures, primarily rectangles, squares, and lines. These sketches seem to be demonstrating the principles of perspective. The drawings are accompanied by handwritten notes that elaborate on the concept being illustrated. At the top left, there is a square bisected by diagonals with a note about angular resolution creating rectangles of different size at different depths. Just below, on the left, there are more sketches showing a three-dimensional perspective with receding parallel lines, potentially explaining how objects appear smaller as they recede into the distance, indicated by the phrase "When you say one is larger than two you are comparing a side/edge ratio - Where sides are." To the right of that is a diagram that appears to explore how overlapped objects can give cues to their relative sizes and distances, with a specific focus annotating the intersection of two forms. Above that, on the right side, a colored-in red rectangle is within a larger rectangle, possibly representing a scaled-down version or a closer view. In the middle of the page on the right, a note refers to division in terms of angles, possibly relating to the discussion on perspective. The handwriting appears to be in cursive, and the penmanship has a characteristic style that might indicate the sketches and notes belong to someone with a background in art, design, or architecture. The paper looks aged, communicating that it could be from an older sketchbook or journal.

Created on 2024-03-30

This image appears to be a hand-drawn sketch with accompanying text. The sketch shows several geometric shapes, including rectangles and triangles, along with some text annotations. The text discusses the concept of "angular revolution", which it states creates rectangles of different proportions depending on the angle. It also mentions comparing the proportions of these rectangles to the golden ratio, with the text indicating that the "unit square" is approximately equal to 0.6180339 of the larger rectangle. The sketch also includes some additional smaller diagrams and notes, such as a question about how these examples can be used to consider certain types of angles. Overall, this image seems to be exploring mathematical and geometric principles related to proportions, angles, and the golden ratio through a combination of visual elements and written explanations.

Created on 2024-12-02

The image presents a sketchbook page filled with handwritten notes and sketches, primarily focusing on geometric shapes and their relationships. The content is organized into sections, each addressing a specific aspect of geometry. * **Unity** * A unit length plus an angle * The angular revolution creates rectangles of different side-to-side ratios and divides the unit space when it is four at angles into triangles of 2 at angles * **Similar Figures** * How do these similar figures co-exist in terms of angles? * When you say one is larger than two you are comparing a side-to-side ratio - which sides? * **Comparing Sides** * One side here is said to be bigger than the other * Which sides do we compare here when we say one is bigger than the other? The sketchbook page provides a visual representation of geometric concepts, including unity, similar figures, and comparing sides. The handwritten notes offer insights into the relationships between these concepts and how they are used to understand and describe geometric shapes. Overall, the image presents a comprehensive overview of geometric principles and their applications.