The textbook: Perspective and projective geometry

Perspective and Projective Geometry is a textbook using an inquiry-based approach designed for sophomore- and junior-level mathematics majors, developed by Annalisa Crannell, Marc Frantz and myself. The current versions of the modules for the (future) textbook can be found here

Recent talks

2017: Fractals in Japanese Woodblock Prints, Japan-America Society of Greater Austin Academic Lecture Series

2016: Illustrating Abstract Mathematics Through Perspective Drawing, SU Art History Program's Representations Lecture Series, Southwestern University

2016: Finding the Viewpoint at a Museum: a How-To Guide, Joint Mathematics Meetings, Seattle, WA

2015: How to Mathematically Immerse Yourself in a Work of Art, Infinite Horizons Lecture Series, Kennesaw State University, GA and Mathematics and Statistics Colloquium, Sam Houston State University, TX

2013: Harmonics in Math, Art and Music, THINK! Series, Southwestern University

2012: Drawing Chords in Perspective: Harmonic Sets in Math, Music & Art, Department Seminar, Franklin & Marshall College, PA

minicourses and workshops

2017: MAA minicourse #4: visualizing projective geometry through photographs and perspective drawings, to be presented jointly with Annalisa Crannell and Marc Frantz, MAA MathFest, Chicago. 

2016: MAA minicourse #2: visualizing projective geometry through photographs and perspective drawings, presented jointly with Annalisa Crannell and Marc Frantz, MAA MathFest, Columbus. 

2016: learning session: drawing shadows with Desargues, Operation: Math Girls (OMG) conference, Sam Houston State University

2015: seminar teaching workshop: seeing the abstract: visual thinking for engaged learning, funded by Dr. Lawrence Musgrove’s Visual Thinking for Engaged Learning grant funded by the Presidential Innovation Grants Initiative

2014: MAA minicourse #14: visualizing projective geometry through photographs and perspective drawings, presented jointly with Annalisa Crannell and Marc Frantz, Joint Mathematics Meetings, Baltimore

2013: MAA minicourse #5: visualizing projective geometry through photographs and perspective drawings, presented jointly with Annalisa Crannell and Marc Frantz, Joint Mathematics Meetings, San Diego (pic)

PUBLICATIONS on math & Art

F. Futamura, R. Lehr,  A new perspective on finding the viewpoint, Mathematics Magazine, accepted. 

A. Crannell, M. Frantz, F. Futamura, The Image of a Square, Amer. Math. Monthly, 124 no. 2, (2017) pp. 99-115.

A. Crannell, M. Frantz, F. FutamuraThe Cross ratio as a parameter for Dürer's solid (Party game for a 500th anniversary) J. Math. Arts, 8 (2014), no. 3-4, 111--119. (on the shortlist of four papers considered for the 2016 JMA Outstanding Paper Award)

A. Crannell, M. Frantz, F. FutamuraDürer: Disguise, Distance, Disagreements, and Diagonals! Math Horizons22 no. 2, (2014) 10-11. 

media

TED-Ed video lesson, The Mathematics of Sidewalk Illusions, 2017

Mathematical Moments: Making Art Work 2016

Scientific American Blog, Roots of Unity: How to Look at Art: A Mathematician's Perspective. 4/28/2016

Southwestern University Math Professor Receives $69,432 NSF Grant, 2011