this vertex you have NUMBER_TOKEN plus NUMBER_TOKEN plus NUMBER_TOKEN which is NUMBER_TOKEN. and then on this vertex you have each angle that's NUMBER_TOKEN degrees which adds up to NUMBER_TOKEN. there's actually only NUMBER_TOKEN different types of convex pentagons that teslate together the story of how they were discovered is actually pretty interesting in NUMBER_TOKEN a mathematician named carl reinhardt found five pentagons that tessellate together and it wasn't until NUMBER_TOKEN that a scientist named kirchner found three new types what's funny about this is he also published a proof that said that there were actually only eight pentagons that can tessellate together so he said that the list was complete but in NUMBER_TOKEN a computer scientist saw this published in scientific america and he found actually a ninth type so it was found that kirchner's proof was actually incorrect what's even cooler than this is after the ninth pentagon was discovered that could tessellate a woman by the name of marjorie rice who only had a high school education in mathematics and was working as a stay-at-home mom taking care of her kids every day actually discovered four new pentagons that could test late together she would actually just do this on her kitchen table drawing out pentagons and creating her own notation for the relationships between the pentagons after marjory rice there were two more that were discovered with the latest being in NUMBER_TOKEN and we actually still don't know if there are more than NUMBER_TOKEN types of convex pentagons that tessellate together maybe one of you will discover there's actually more but what about for hexagons well in NUMBER_TOKEN the same man that discovered the first five pentagons that could tessellate also discovered that there are only three hexagons that can tessellate together and as of right now scientists believe that there are only three hexagons that can fit together and they've also found that any shape with seven or more sides won't tessellate and thanks for watching another episode of the action lab i hope you enjoyed it if you did don't forget to subscribe if you haven't yet and remember to check out action lab short which is the second channel i have where i do videos similar to this channel but i do them in less than a minute and thanks for watching and i'll see you next time
START_INTERACTION_TOKEN if you did don't forget to subscribe if you haven't yet and remember to check out action lab short which is the second channel i have where i do videos similar to this channel but i do them in less than a minute END_INTERACTION_TOKEN