741 Type 10: The James pentagon

- Hey, gang, this is Deke McClelland.…Welcome to Deke's Techniques.…Now this week we're still talking about…those terribly exciting, irregular…convex pentagons that tesselate.…And so, you may recall from last week…that back in 1968, a guy named Richard Kershner…discovers types six, seven, and eight,…and then goes ahead and proves that his three,…along with the original five from Karl Reinhardt,…are the only ones that are possible.…Then along comes a guy named Michael Gardner,…who does a column called Mathematical Games…for Scientific American.…He writes this whole thing up in 1975,…and he fires the imagination of three people…who prove Kershner wrong, and these people include…Richard James III, who discovers the ninth type,…which is called Type 10 for some reason.…

Then most extraordinarily, Marjorie Rice,…who discovers four of these things,…more than Kershner, and she has nothing more…than a high school education.…She discovers types nine, 11, 12, and 13,…and then finally we have this one from…German math student, what's his name, Rolf Stein,…