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Routes On Polyhedra

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Introduction

Routes On Polyhedra

My objective is to find out a rule for how a number of routes change on a polyhedra as the number of edges on the bottom face of the shape changes.

Cuboid

For this cuboid shape,I would have to find

All the routes from the * at A to the . at G.

image01.pngimage00.png

...read more.

Middle

image03.pngimage02.pngimage05.pngimage04.png

I start with the A to B combinations and the

The A to C and finally A-E

No of edges on the bottom face

Number of rout

3

11/12

4

15/16

5

19/20

6

23/24

These prism polyhedra’s fit the rule 4n or 4n-1 because N=No.

...read more.

Conclusion

3

5

4

7

Both the pyramids and prisms amount of routes are numerically connected to the number of edges on the bottom face of the shape.

image10.pngimage11.png

16 routes form

B-Z

A-Z

D-Z

And 15 routes form

C-Z

This means that the total amount of

Routes is 63.

When adding two shapes together we add all the possible routes from the different points on the shape.

All the shapes have a numerical connection

...read more.

This student written piece of work is one of many that can be found in our GCSE Number Stairs, Grids and Sequences section.

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