LC CUTTERS Pentagonal tiling
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
LC CUTTERSPentagonal tiling
LC Cutters Polygons sets
Order at LC Store EU or LC Store USA.
Order at LC Store EU or LC Store USA.
LC Cutters Polygons set 1 (1-5)
LC Cutters Polygons set 3 (11-15)
Order at LC Store EU or LC Store USA.
Order at LC Store EU or LC Store USA.
LC Cutters Polygons set 2 (6-10)
LC Cutters Polygons set 4 (16-20)
Pentagonal tilingFrom Wikipedia, the free encyclopedia
source: www.wikipedia.org/wiki/Pentagonal_tiling
Monohedral convex pentagonal tilings
Read more
In geometry, a pentagonal tiling is a tiling of the plane where each individual piece is in the shape of a specific pentagon.
A regular pentagonal tiling on the Euclidean plane is impossible because the internal angle of a regular pentagon, 108°, is not a divisor of 360°, the angle measure of a whole turn.
Fifteen types of convex pentagons are known to tile the plane monohedrally (i.e. with one type of tile).[1] The most recent one was discovered in 2015. It is not known whether this list is complete.[2] Bagina (2011) showed that there are only eight edge-to-edge convex types, a result obtained independently by Sugimoto (2012).
Each enumerated tiling family contains pentagons that belong to no other type; however, some individual pentagons may belong to multiple types. In addition, some of the pentagons in the known tiling types also permit alternative tiling patterns beyond the standard tiling exhibited by all members of its type.
Reinhardt (1918)
Reinhardt (1918) found the first five types of pentagonal tile. All five can create isohedral tilings, meaning that the symmetries of the tiling can take any tile to any other tile (more formally, the automorphism group acts transitively on the tiles).
#1 #6
#2 #7
#3 #8
#4 #9
#5 #10
#11 #16
#12 #17
#13 #18
#14 #19
#15 #20
LC CUTTER: Pentagon #1Order at LC Store EU or LC Store USA.
Making a pattern with LC CUTTER #1
COLOR IT YOURSELF
LC CUTTER #1 in combination with other LC CUTTERS
CZEXTRUDER XXL ALL IN ONE SET
LC CUTTER: Pentagon #2 Order at LC Store EU or LC Store USA.
Making a pattern with LC CUTTER #2
COLOR IT YOURSELF
LC CUTTER #2 in combination with other LC CUTTERS
official Facebook pages
/lucyclaytools /lucyclaytoolsusa
LC CUTTER: Pentagon #3Order at LC Store EU or LC Store USA.
Making a pattern with LC CUTTER #3
COLOR IT YOURSELF
LC CUTTER #3 in combination with other LC CUTTERS
LC MINI SLICER
LC CUTTER: Pentagon #4Order at LC Store EU or LC Store USA.
Making a pattern with LC CUTTER #4
COLOR IT YOURSELF
LC CUTTER #4 in combination with other LC CUTTERS
official Pinterest page
/lucyclaytools
LC CUTTER: Pentagon #5Order at LC Store EU or LC Store USA.
Making a pattern with LC CUTTER #5
COLOR IT YOURSELF
LC CUTTER #5 in combination with other LC CUTTERS
LC BAKER
LC CUTTER: Pentagon #6Order at LC Store EU or LC Store USA.
Making a pattern with LC CUTTER #6
COLOR IT YOURSELF
LC CUTTER #6 in combination with other LC CUTTERS
Lucy‘s etsy shop
/shop/LUCYstruncova
LC CUTTER: Pentagon #7Order at LC Store EU or LC Store USA.
Making a pattern with LC CUTTER #7
COLOR IT YOURSELF
LC CUTTER #7 in combination with other LC CUTTERS
LC WAVY BLADES
LC CUTTER: Pentagon #8Order at LC Store EU or LC Store USA.
Making a pattern with LC CUTTER #8
COLOR IT YOURSELF
LC CUTTER #8 in combination with other LC CUTTERS
official website
www.lucyclaytools.com
LC CUTTER: Pentagon #9Order at LC Store EU or LC Store USA.
Making a pattern with LC CUTTER #9
COLOR IT YOURSELF
LC CUTTER #9 in combination with other LC CUTTERS
LC SLICER CHROME
LC CUTTER: Pentagon #10Order at LC Store EU or LC Store USA.
Making a pattern with LC CUTTER #10
COLOR IT YOURSELF
LC CUTTER #10 in combination with other LC CUTTERS
Lucy‘s website
www.lucystruncova.com
LC CUTTER: Pentagon #11Order at LC Store EU or LC Store USA.
Making a pattern with LC CUTTER #11
COLOR IT YOURSELF
LC CUTTER #11 in combination with other LC CUTTERS
LC Disks
LC CUTTER: Pentagon #12Order at LC Store EU or LC Store USA.
Making a pattern with LC CUTTER #12
COLOR IT YOURSELF
LC CUTTER #12 in combination with other LC CUTTERS
official youtube channel
/lctools
LC CUTTER: Pentagon #13Order at LC Store EU or LC Store USA.
Making a pattern with LC CUTTER #13
COLOR IT YOURSELF
LC CUTTER #13 in combination with other LC CUTTERS
LC SLICER
LC CUTTER: Pentagon #14Order at LC Store EU or LC Store USA.
Making a pattern with LC CUTTER #14
COLOR IT YOURSELF
LC CUTTER #14 in combination with other LC CUTTERS
Lucy‘s facebook page
/Atelier.Lucy
LC CUTTER: Pentagon #15Order at LC Store EU or LC Store USA.
Making a pattern with LC CUTTER #15
COLOR IT YOURSELF
LC CUTTER #15 in combination with other LC CUTTERS
LC Angle base
FACEBOOK.COM/LUCYCLAYTOOLS Visit our e-shop LC STORE www.lucyclaystore.com
Unique tools from the LUCY CLAY® TOOLS Represent the highest quality in processing of Polymer clay.BESIDES LC Slicer and CZEXTRUDERA wide range of accessories.
WE also OFFER www.lucyclaytools.com
Czextruder HD
LC SLICER
The best solution for work with polymer clay
LC CUTTER: Pentagon #16Order at LC Store EU or LC Store USA.
Making a pattern with LC CUTTER #16
COLOR IT YOURSELF
LC CUTTER #16 in combination with other LC CUTTERS
LC rotable
LC CUTTER: Pentagon #17Order at LC Store EU or LC Store USA.
Making a pattern with LC CUTTER #17
COLOR IT YOURSELF
LC CUTTER #17 in combination with other LC CUTTERS
LC STARTER box
LC CUTTER: Pentagon #18Order at LC Store EU or LC Store USA.
Making a pattern with LC CUTTER #18
COLOR IT YOURSELF
LC CUTTER #18 in combination with other LC CUTTERS
LC tile
LC CUTTER: Pentagon #19Order at LC Store EU or LC Store USA.
Making a pattern with LC CUTTER #19
COLOR IT YOURSELF
LC CUTTER #19 in combination with other LC CUTTERS
LC Advanced XXL box
LC CUTTER: Pentagon #20Order at LC Store EU or LC Store USA.
Making a pattern with LC CUTTER #20
COLOR IT YOURSELF
LC CUTTER #20 in combination with other LC CUTTERS
LC BLADE
www.lucyclaytools.com | www.lucyclaystore.com | www.lucystruncova.comCOPYRIGHT Ⓒ 2015 LUCY CLAYⓇ TOOLS
www.lucyclaystore.com
L C C U T T E R S
ver. 151006
Order at LC Store EU or LC Store USA. Or contact our Sales Partners.
Related Documents
