The paper describing these dies might help then: http://www2.oberlin.edu/math/faculty/bosch/nbd.pdf http://www2.oberlin.edu/math/faculty/bosch/nbd.pdf Bosch, R

The paper describing these dies might help then: http://www2.oberlin.edu/math/faculty/bosch/nbd.pdf http://www2.oberlin.edu/math/faculty/bosch/nbd.pdf Bosch, Robert; Fathauer, Robert, Segerman, Henry - Numerically Balanced Dice (2016) (btw., here's the about page for The Die Lab: https://www.mathartfun.com/thedicelab.com/DiceDesign.html https://www.mathartfun.com/thedicelab.com/DiceDesign.html) More various stuff on fair dice: On fair but irregular plyhedral dice: http://statweb.stanford.edu/~cgates/PERSI/papers/fairdice.pdf http://statweb.stanford.edu/~cgates/PERSI/papers/fairdice.pd... Diaconis, Persi; Keller, Joseph B. - Fair Dice (1989) https://mathoverflow.net/questions/46684/fair-but-irregular-polyhedral-dice https://mathoverflow.net/questions/46684/fair-but-irregular-... https://pp.bme.hu/ar/article/download/7607/6570/ https://pp.bme.hu/ar/article/download/7607/6570/ - Várkonyi, Péter L. - The Secret of Gambling with Irregular Dice: Estimating the Face Statistics of Polyhedra (2014) https://web.archive.org/web/20110925191300/http://blog.eqnets.com/2009/08/24/dynamical-bias-in-the-dice-roll/ https://web.archive.org/web/20110925191300/http://blog.eqnet... Note: The link to http://maths.dur.ac.uk:80/~dma0cvj/mathphys/supplements/supplement2/supplement2.html http://maths.dur.ac.uk:80/~dma0cvj/mathphys/supplements/supp... in the comments there is broken and the archived version doesn't have the images, but the PDF copy survives in the archive. (One can find the other PDFs from that page here, by filtering: https://web.archive.org/web/*/http://www.maths.dur.ac.uk/~dma0cvj/mathphys/* https://web.archive.org/web/*/http://www.maths.dur.ac.uk/~dm...) "Polyisohedral" dices: * http://loki3.com/poly/polyisohedra.html http://loki3.com/poly/polyisohedra.html * http://loki3.com/poly/fair-dice.html http://loki3.com/poly/fair-dice.html http://www.mathpuzzle.com/MAA/37-Fair%20Dice/mathgames_05_16_05.html http://www.mathpuzzle.com/MAA/37-Fair%20Dice/mathgames_05_16... https://web.archive.org/web/20050602020925/http://www.geocities.com/dicephysics/ https://web.archive.org/web/20050602020925/http://www.geocit... https://savevsdragon.blogspot.com/2011/11/brief-history-of-polyhedral-dice.html https://savevsdragon.blogspot.com/2011/11/brief-history-of-p... https://journals.aps.org/pre/abstract/10.1103/PhysRevE.78.036207 https://journals.aps.org/pre/abstract/10.1103/PhysRevE.78.03... How random is dice tossing?