Mathematics and Art: Geometry, Proportion, and Symmetry
Lesson 11 of MDC1213
Slide 1: Title Slide
Mathematics and Art: Geometry, Proportion, and Symmetry
Slide 2: Course Overview
Brief summary of the course objectives and lesson topics
Slide 3: Introduction
The intersection of mathematics and art throughout history
Slide 4: Geometry in Art
The role of geometric shapes and forms in artistic creations
Slide 5: The Golden Ratio
The significance of the golden ratio in art, architecture, and design
Slide 6: Fibonacci Sequence
The connection between the Fibonacci sequence and the golden ratio in art
Slide 7: Perspective and Proportion
The use of mathematical principles in achieving realistic perspective and proportion in art
Slide 8: Linear Perspective
The development and application of linear perspective in Renaissance art
Slide 9: Fractals
The appearance and significance of fractal patterns in art and nature
Slide 10: Tessellations
The use of tessellations and repeating patterns in art and design
Slide 11: Symmetry in Art
The role of symmetry in creating balance and harmony in art
Slide 12: Types of Symmetry
Different types of symmetry found in art and nature
Slide 13: Sacred Geometry
The significance of geometric shapes and patterns in sacred art and architecture
Slide 14: Islamic Art
The use of geometric patterns and symmetry in Islamic art and architecture
Slide 15: Op Art
The exploration of geometric shapes, patterns, and optical illusions in Op Art
Slide 16: Polyhedra and Sculpture
The use of polyhedra and other geometric shapes in sculpture
Slide 17: Origami and Paper Folding
The connection between geometry and the art of origami
Slide 18: Mathematical Knitting and Crochet
The intersection of mathematics and fiber arts in creating intricate patterns
Slide 19: Escher and Mathematical Art
The work of M.C. Escher as an example of art inspired by mathematical concepts
Slide 20: Visualization of Mathematical Concepts
The role of art in visualizing complex mathematical ideas
Slide 21: Mathematical Tools for Artists
The use of mathematical tools, such as compasses and rulers, in creating art
Slide 22: Digital Art and Mathematics
The intersection of mathematics and digital art, including algorithmic and generative art
Slide 23: The Aesthetics of Mathematics
Exploring the beauty and elegance of mathematical concepts and their artistic representations
Slide 24: Mathematical Creativity
The role of creativity and imagination in both mathematics and art
Slide 25: Cross-Disciplinary Collaboration
The potential for collaboration between mathematicians and artists
Slide 26: Real-World Applications
Examples of the practical applications of mathematical concepts in art and design
Slide 27: The Future of Mathematics and Art
Predictions for the future intersection of mathematics and art
Slide 28: Conclusion