Tagged Questions
-1
votes
1answer
329 views
Icosahedron coordinates
Wikipedia says (link)that cartesian coordinates of icosahedron are:
(0, ±1, ± φ)
(±1, ± φ, 0)
(± φ, 0, ±1)
Where φ = (1 + √5) / 2 is golden ratio ≈ 1.618.
I ...
0
votes
1answer
263 views
How to calculate vertices of dodecahedron using W|A?
Can I calculate for example with wolfram alpha coordinates of vertices of dodecahedron?
I know coordinates of center point of dodecahedron (center of gravity) and the height of dodecahedron.
Thanks ...
9
votes
1answer
137 views
Is the Euler characteristic $\chi =2$ for the prism with a hole?
I keep getting $\chi=2$ for the solid in the picture. It's a prism with a hole joining two opposite sides. I remember reading that $\chi=0$ for such solids.
Help me find my error. I'd appreciate if ...
2
votes
2answers
395 views
Radius of a Sphere inscribed in a Convex Polyhedron
My teacher gave me this problem in class as a challenge. It has stumped me for days, yet he refuses to give me the answer!
Let $PQRSTU$ and $PQR'S'T 'U'$ be two regular planar ...
3
votes
3answers
212 views
What shape is this?
im doing a question that involves a shape with 8 faces, 10 vertices and 16 edges. Can anyone enlighten me as to what this shape is called?
Many Thanks
