# 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

2018: upcoming MAA minicourse: visualizing projective geometry through photographs and perspective drawings, presented jointly with Annalisa Crannell and Marc Frantz, MAA MathFest, Denver.

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, **90** no. 4 (2017) pp. 267-277. (student research with Robert Lehr, class of 2015)

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. Futamura, *The 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. Futamura, *Dürer: Disguise, Distance, Disagreements, and Diagonals!* *Math Horizons*, **22** no. 2, (2014) 10-11.

- Reprinted in: The Best Writing on Mathematics 2015, Princeton University Press, 2015.

# media

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

Mathematical Moments: Making Art Work 2016

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