diff --git a/R/generateSierpinski.R b/R/generateSierpinski.R
index b09ad86..4092420 100644
--- a/R/generateSierpinski.R
+++ b/R/generateSierpinski.R
@@ -17,7 +17,7 @@ generateSierpinski <- function(rows) {
 # n: number of vertices (e.g. n=3: Triangle)
 # Return a vector of length 2 with x and y coordinates
 sampleVertex <- function(n) {
-  c(x=0, y=0)
+  c(x=1, y=1)
 }
 
 # Create a point that is a step from `from` to `to`
@@ -27,5 +27,5 @@ sampleVertex <- function(n) {
 #   * step.size = 1 --> end up at `to`
 #   * step.size = 0.5 --> halfway between `from` and `to`
 stepToVertex <- function(from, to, step.size) {
-  c(x=0, y=0)
+  from * (1 - step.size) + to * step.size
 }
\ No newline at end of file