Making Maths

 A while ago I did some creating with some impossible figures using grid-paint.com This is my attempt at creating something from that MC Escher put into his work. I thought the obvious place to begin would be Penrose Triangle   Which then led to this... Which evolved into this...

  This truncated Octahedron was made using grid-paint.com

  I made this Sierpinski Triangle using Grid-paint.com

  Spiked Snub Cube 60 units (24 yellow 36 white) inspiration from here

  Truncated icosahedron 90 units (60 of one colour 30 of another) Original post with instructions   https://mathemaking.blogspot.com/2024/06/modular-origami-little-turtle-tomoko.html

  48 units.  24 of each colour. Original post with instructions   https://mathemaking.blogspot.com/2024/06/modular-origami-little-turtle-tomoko.html

  Kusudama Star holes by Francesco Mancini I used these instructions here  https://www.youtube.com/watch?v=E5pAdiKKsRQ  These exist too.   https://www.youtube.com/watch?v=4z9YYcqBh90

Regular icosahedron 30 units made from 15 squares. Triangle Edge Modules by Lewis Simon and Bennett Arnstein https://youtu.be/H7qE_Tc8e4g?si=BTITTKJYN75mVveL  

  Lesser Stellated Dodecahedron  This uses the Super Simple Isosceles Triangle Unit by  M. Mukhopadhyay/  Jeannine Mosely https://www.origamee.net/diagrams/misc/isos.html

  30 units but 60 bits of paper in two colours. I can't remember exactly where I got the instructions from but it may have been one of these sites. https://paper-swan.blogspot.com/p/origami.html https://www.pinterest.co.uk/pin/9640586696038972/ 12 units and 24 units make these

  Supernova by PrwOrigami modified from Cherry Bomb designed by Kankichi 30 square pieces of paper link to instructions

These are based on a sculpture by George Hart called 72 pencils.  https://georgehart.com/sculpture/pencils.html These are great fun to make and amazing to look at and have around afterwards. One of my pieces is made of pencils, one of cocktail sticks and the other kebab skewers! Clarissa Grandi  https://x.com/c0mplexnumber  has made a blog post ( https://www.artfulmaths.com/blog/hexastix  )  on how to go about creating one of these sculptures, also known as Hexastix. The post includes a link to the video by Matt Parker ( @standupmaths ) Alejandro Erickson has also got some detailed  instructions and pictures of some other variations. You will need pencils (or sticks) hexagonal ones are better and elastic bands.  If you want to eventually remove the elastic bands you will also need glue. (i used superglue but you can use other types see A lejandro Erickson's instructions.)  

  Modular Origami Little Turtle (Tomoko Fuse) Recently found the Little Turtle Modular Origami unit. Here is what has been made with them so far. 6 units will make this. (tetrahedron) 12 units will make this. (octahedron) 24 units will make this. (cuboctahedron) YouTube link for how to make the modules and 6, 12, 24 unit models  30 units will make this. (icosahedron) Link to instructions 24 units of one colour and 12 units of another or just 36 units will make this. (truncated octahdron) Link to instructions