When Marjorie Rice was a little girl in Roseburg, Oregon, in the 1930s, she saw patterns everywhere. Swimming in the river, her body was a shape in the water, the water a shape in the hills, the hills a shape in the sky. Some shapes, fitted into a rectangle or floor tilings, were so beautiful they made her long to be an artist. Marjorie dreamed of studying art and geometry, perhaps even solving the age-old “problem of five” (why pentagons don’t fit together the way shapes with three, four, or six sides do). But when college wasn’t possible, she pondered and explored all through secretarial school, marriage, and parenting five children, until one day, while reading her son’s copy of Scientific American, she learned that a subscriber had discovered a pentagon never seen before. If a reader could do it, couldn’t she? Marjorie studied all the known pentagons, drew a little five-sided house, and kept pondering. She’d done it! And she’d go on to discover more pentagonal tilings and whole new classes of tessellations. In this visually wondrous tribute, Anna Bron’s intricate art teems with patterns, including nods to M. C. Escher, and radiates the thrill of one woman’s discovery, playfully inviting readers to approach geometry through art—and art through geometry. Back matter offers more on the story of five and suggestions on how to discover a shape.
- Books
- Kids Nonfiction
- The Five Sides of Marjorie Rice
The Five Sides of Marjorie Rice
Author(s)
Publisher
Age Range
4+
Release Date
March 04, 2025
ISBN
978-1536229479
Ablaze with pattern and color, this ebullient picture book biography celebrates the intersection of art and science—through the life and lens of an extraordinary amateur mathematician.
Editor review
1 review
Ordinary people doing extraordinary things
(Updated: June 22, 2026)
Overall rating
4.0
Writing Style
4.0
Illustrations/Photos (if applicable)
4.0
Learning Value
4.0
Marjorie Rice didn't go to college to study math, and wasn't in any way a professional, yet she solved a geometrical puzzle that baffled people in the field. While squares, triangles, and even hexagons can fit together, it's very difficult to find a five sided shape that will create an interlocking pattern. People have studied this for years, and found a few shapes that will work, but Marjorie tried to look for more. Entranced by nature and shapes as a child, this continued as she grew up, and she read all that she could about geometry and shapes. She was entranced by an article in Scientific American detailing a shape that worked, and she decided to try to find others. She found a previously unknown tessellating shape, the tenth that people had figured out. She sent her work to Martin Gardner at the magazine, who consulted Doris Schattschneider. Marjorie found three different shapes that would tessellate, and was honored for her work in tiling pentagons in 1995.
Good Points
Ordinary people who chase their passions with amazing results are always fun to read about, and the pictures of Price's ordinary life, washing clothes and taking care of her home and children, are a great contrast to the intricate patterns that she helped create. I can't imagine the mathematical acuity necessary to figure out these problems; it's just too bad that Price, born in 1923, didn't have opportunities for more formal education; who knows what else she might have figured out.
The tessellations in this book are exquisite, and there are plenty of different examples, from nature to history. I can't say that I fully understood the importance of finding these new five sided shapes, or the work involved, but they are very interesting.
Add The Five Sides of Marjorie Rice to a list of picture book biographies about women mathematicians that shapes up to include Reid and Jaleel's Maryam's Magic: The Story of Mathematician Maryam Mirzakhani, Mosca and Rieley's The Girl With A Mind For Math: The Story of Raye Montague, Becker and Rust's Emmy Noether: The Most Important Mathematician You've Never Heard Of, and Bardoe and McClintock's Nothing Stopped Sophie: The Story of Unshakable Mathematician Sophie Germain.
The tessellations in this book are exquisite, and there are plenty of different examples, from nature to history. I can't say that I fully understood the importance of finding these new five sided shapes, or the work involved, but they are very interesting.
Add The Five Sides of Marjorie Rice to a list of picture book biographies about women mathematicians that shapes up to include Reid and Jaleel's Maryam's Magic: The Story of Mathematician Maryam Mirzakhani, Mosca and Rieley's The Girl With A Mind For Math: The Story of Raye Montague, Becker and Rust's Emmy Noether: The Most Important Mathematician You've Never Heard Of, and Bardoe and McClintock's Nothing Stopped Sophie: The Story of Unshakable Mathematician Sophie Germain.
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