http://www.fumikofutamura.com/art daily 0.75 2024-03-27 https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1469893233564-I5E4IIUY07R44I4GIKJI/truckKK.jpg Art https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1469893362038-PLI02F9DUIQCSRB5F7X9/goldred.JPG Art https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1469893462102-PY0P9341HCW0JCG7KXL9/fatman.jpg Art https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1469893124160-WR4Q2QAXYIHML6J3YPZA/whalebag.JPG Art Whale bag for my underwear for when I go on trips. cotton fabric, thread, zipper, button, 2011 https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1469892613315-RUFUZVCLV524QW05AZ9N/sidepigeon.JPG Art Dissected pigeon. yarn, polyfil, 2012 https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1619708020049-HDBL9X9DHGRGERVJIWZ9/Screen+Shot+2021-04-29+at+9.47.55+AM.png Art - Malia's grandfather Black and white charcoal on gray board, 2018 http://www.fumikofutamura.com/studentwork daily 0.75 2023-01-11 https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1469723688996-L73N7NJ8DXUCDGQBFCRX/vanvlietslope.png Student projects https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1469723807437-S45G0BYYM1IE1K7TDOCO/julia.jpg Student projects https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1469723860434-GD64PRWGZ103C37YXIVG/solarchair.jpg Student projects https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1469723895358-IR3C58DVHNBLLSES0C4A/AIDS_through_music_small.jpg Student projects https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1469723975296-PNSPTKT7FJ4QS7GLM0E6/sidepigeon.JPG Student projects https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1616470220288-3T4UDOG4RKWYNGE2FKV7/PXL_20210322_220021444.jpg Student projects 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https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1468730581595-LCYLZ8NHRU7ESSMOHPXW/sidepigeon.JPG Student projects https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1468730583177-T1SUALOIMZCAJIX86M5S/outpigeon.JPG Student projects https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1468730580489-81CJ7OZ8FZVKUSP6JV44/backpigeon.JPG Student projects https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1468731639350-W0V84ODTYOSJYSPEH7GD/vanvlietslope.png Student projects https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1468731858087-TZVNSNVIVCQH8POCSLSG/julia.jpg Student projects https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1616468680079-ZR7X2ZIKEB97U6X1FS67/crochet+poster+web.png Student projects https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1616468849730-0Q6J52C6A1O9NIX65ZWT/PXL_20210322_220021444.jpg Student projects 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https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1673402719722-8UX7SQYVIDK4MJQ23K8T/AB0775EC-8D74-4065-8805-453DCA0A7D33.JPG Student projects https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1673406499624-KWKTUOM8L9N9428XFVRX/honors.jpg Student projects https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1673406513244-HQ3MTJ2KL54KDGHAWY18/sean.jpg Student projects https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1673406513242-92950QKUOIL5VWMOYSA4/tommy.jpg Student projects http://www.fumikofutamura.com/friezemusic daily 0.75 2018-12-03 http://www.fumikofutamura.com/mathart daily 0.75 2024-09-26 https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1469718106395-JPXJ03YSVBSC9J6Z5M6R/blanton.jpeg Math & Art - Geometry 2012 Students from the Fall 2012 Geometry class go to the Blanton Museum in Austin, TX to analyze works in perspective. https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1469718033471-LMSDTJHQ41IXWU6SM8V5/best+photo.jpg Math & Art - Geometry 2012 Students from the Fall 2012 Geometry class set up a demonstration of Desargues' theorem. https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1469718625004-O6N64EBCX6T3RECRN4FA/IMG_4918.JPG Math & Art - MAA Minicourse 2013 Participants of our 2013 MAA Minicourse collaborate to learn projective geometry through perspective drawing. https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1469718728645-9CW43L0XXT8G6RMQXWUM/8365861483_afdafd95f1_z.jpg Math & Art - MAA Minicourse 2013 Fumiko Futamura vogues while presenting at the 2013 Joint Math Meetings MAA Minicourse. Photo by Laura McHugh. https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1469719829943-OOHYSMGXFIZ4F51TH3MQ/mathartexhibit2013.jpg Math & Art https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1469719845907-DR9XCCZ7LY4XQ035A1N5/mae2.jpg Math & Art - Math Concepts 2013 Students from the Spring 2013 Math Concepts class proudly exhibit their mathematical works of art. More pics below. https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1469721884891-C291T3BI9KJU0X4QBHWY/kennesaw.jpg Math & Art - Infinite Horizons lecture 2015 I gave a talk at Kennesaw State University's Infinite Horizons lecture series on How to mathematically immerse yourself in a work of art in April 2015. https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1469722188605-GV1E8PI0OFXXQ8EZ5N1J/kennesaw2.jpg Math & Art - Infinite Horizons lecture 2015 Students at Kennesaw State learn how to find the viewpoint for perspective drawings. https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1516084701368-KSSNN8H6HS7O8Z06ZUQD/Lecture2.jpeg Math & Art - Public lecture 2017 Fractals in Japanese Woodblock Prints lecture for Japan-America Society for Greater Austin, 2017 https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1481480569398-9BPH6SFADJKTP1JRUTVU/mae3.jpg Math & Art - Mathematical Mystery Tour 2013 Students in Mathematical Concepts, Spring 2013 displayed their mathematical artwork in an exhibit in the Smith Library. https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1481480584411-97YEIX8CFE070M6RHIDJ/mae1.jpg Math & Art Exhibit opening, April 15, 2013 https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1481480562502-6M6Y0V2Y47PPWE82HDMJ/maeanamorph.jpg Math & Art anamorphic painting https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1481480562322-6312OVSWBXCI7EXDJJHT/maeanamorph2.jpg Math & Art anamorphic painting https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1481480565385-UI9388SGE4AIUFWJEJ7H/mae9.jpg Math & Art making a PVC flute using math https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1481480565431-M71IG0RACGCBPG1FIS21/mae8.jpg Math & Art pinhole camera https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1481480566911-H1Q1ZV8HNBFBLUH3GDV7/mae7.jpg Math & Art Stellated platonic solid origami, cylinder anamorphisms https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1481480566901-KHHVIIZZLGQNHV06280V/mae6.jpg Math & Art Stellated platonic solid origami, cylinder anamorphisms https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1481480568497-HPO801APTH32CDD7V8OY/mae4.jpg Math & Art https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1481480570929-Z1U0ZRN9LOY7AFYW27V6/mae21.jpg Math & Art Sierpinski's tetrahedron https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1481480571722-KA726AU2Q4PIQU97YP90/mae20.jpg Math & Art dragon curve fractal quilt https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1481480572050-ZYVWASW969Q4CDCA3RPT/mae2.jpg Math & Art https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1481480573721-QU3OA8P7UNJRG4G0JQZQ/mae19.jpg Math & Art Platonic solid snowman with fractal arms and frieze patterned scarf and n-fold symmetry snowflakes https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1481480574064-KCEDLZ6QZH5GNXD0XGX0/mae18.jpg Math & Art drawings using wallpaper patterns, fractals and symmetry https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1481480575940-7I6PPPRC6R3JK38J75OW/mae17.jpg Math & Art a maze in perspective   https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1481480576333-6RW5Y6XKBI0EY552KXOF/mae16.jpg Math & Art shadow projections https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1481480578539-M7AV62WKA5IOKP1BWHYN/mae15.jpg Math & Art frieze pattern card weavings and friendship bracelets https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1481480580446-I9OHLK9XRPTMCYOCQKPI/mae13.jpg Math & Art lego impossible staircase (Penrose stairs) https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1481480578390-73QF6FQCXE1Z5YWUXVE6/mae14.jpg Math & Art lego impossible staircase (Penrose stairs) https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1481480580858-MPT6ZHMPBOT81CPUWLBA/mae12.jpg Math & Art video of a fly-through inside 3D fractals https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1481480583197-R2YGEPK4QZMB0DQ0H01R/mae10.jpg Math & Art - hyperbolic crochet experiments https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1481480582760-AI2554LUJ042300025HH/mae11.jpg Math & Art - hyperbolic coral reef https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1481480568574-UPV0EYGDT0S0C4VQKNNR/mae5.jpg Math & Art http://www.fumikofutamura.com/about daily 0.75 2025-01-29 https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1487168592707-2CX8GLNZF1V0MV4TVESK/best+photo.jpg About Demonstrating Desargues' theorem https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1504417359223-WU5FZMBFVZHLBMAC44T2/Lecture2.JPG About fractals in ukiyo-e 2017 https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1523837347697-7VOYCBEHAHCWBM0FFEFC/IMG-5646.jpg About mathematically immerse yourself in art at Texas State https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1523837359650-634M0JB72VLP10LC5NOC/IMG-5652.PNG About finding the viewpoint, becoming mathematically immersed in the art http://www.fumikofutamura.com/work-1 daily 1.0 2026-03-30 https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1691283814579-AMTI24C2NZFSFKLTROIY/bookcover.jpg Home - Perspective and Projective Geometry Published in 2019 by Princeton University Press, an IBL textbook that helps you to discover connections between projective geometry and perspective drawing. https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1578252318492-9VT6WWQP0J4VQZ6ZQ8QA/Screenshot_20200105-121757%7E2.png Home - Sketch of concept It began with some sketches of an idea - having taken students to the Blanton Museum of Art to find mathematics in artwork, I was inspired to create a two point perspective drawing of a gallery space with works of art depicting some ideas from the book. I first tried photographing shadows in actual museums, but the lighting was never quite right. https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1578252320870-5BEGAXG5PPJS8FQZ1L9T/Screenshot_20200105-121833%7E2.png Home - GeoGebra to hand drawing I first created the mathematically correct drawing in GeoGebra, so that I could more easily fiddle with lines and vanishing points to get it just right. I wanted to make sure the vanishing points were not too far off the page, while at the same time being mindful of the composition. https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1578252326394-50VE7P32W0HK3JYJU2RG/Screenshot_20200105-121847%7E2.png Home - Almost completed drawing This is the drawing without the addition of Taylor’s drawing on the wall. I left many of the construction lines to show how it was made. https://images.squarespace-cdn.com/content/v1/578a8b93579fb3f7b30538f0/1578248074784-R0CH2CV2054M56GGU8IW/Screenshot_20200105-121057_2.png Home - Book cover I got to draw the cover of the book! The drawing, done in black and white charcoal on gray paper, is of an imaginary art gallery with artwork that demonstrates double Desargues’ theorem (Roger Jorgensen-esque statue with shadow) and cross ratios (Donald Judd-inspired cubes). 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